<?xml version="1.0" encoding="UTF-8"?>
<quiz>
<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L41- Statistics - Pie Charts, Line And Bar Graphs</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 359095  -->
  <question type="formulas">
    <name>
      <text>L41- Bar Graph- Missing Year</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. The data for {=XTextUnit[randX]} {missing} was accidently left off the chart.   Based on the information for the chart, what is a reasonable guess for {=yTextAlc[randY]} in {=XTextUnit[randX]} {missing}.    <jsxgraph width="300" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });

    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){
    if (i==={missing}-1) {
    dataArr[i]=0;
    } else {
    dataArr[i]={m}*(i+1);
    } }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. The data for {=XTextUnit[randX]} {missing} was accidently left off the chart. Based on the information for the chart, what is a reasonable guess for {=yTextAlc[randY]} in {=XTextUnit[randX]} {missing}.</p><p dir="ltr" style="text-align: left;"><span style="font-size: 0.9375rem;">Each&nbsp;{=XTextUnit[randX]} the {=yTextAlc[randY]} increases by approximately {=floor(m)}</span><br></p><p dir="ltr" style="text-align: left;"><span style="font-size: 0.9375rem;">Add&nbsp;{=floor(m)} +&nbsp;{=round((missing-1)*m,0)}</span></p><p dir="ltr" style="text-align: left;">The&nbsp;{=yTextAlc[randY]} in {=XTextUnit[randX]} {missing} = {=floor(m) + round((missing-1)*m,0)}</p><p dir="ltr" style="text-align: left;">A reasonable answer is {=round((missing*m)-m*.5,0)} to {=round((missing*m)+m*.5,0)}</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>highVal={.8:.9:.05};

maxY={100:1000:1};
maxX={7:10:1};
randY={0,1};
randX={0,1};
missing={2,3,4,5};</text>
</varsrandom>
<varsglobal><text><![CDATA[height=maxY*1.1;
minY=0;
yTextA=["Number of Students","Number of Customers"];
yTextAlc=["number of students","number of customers"];
xTextA=["Year Number","Month Number"];
XTextUnit=["year","month"];
yText=yTextA[randY];
xText=xTextA[randX];
maxValue=highVal*maxY;
m=maxValue/maxX;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>round(missing*m,0)</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[_err < .5*m]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">The {=yTextAlc[randY]} in {=XTextUnit[randX]} {missing}: {_0}<br></p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359096  -->
  <question type="formulas">
    <name>
      <text>L41- Bar Graph- Next Year</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. If the trend continues, predict the {=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1}. <jsxgraph width="300" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });

    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){

    dataArr[i]={m}*(i+1);
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. If the trend continues, predict the {=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1}.</p><p dir="ltr" style="text-align: left;">Each&nbsp;{=XTextUnit[randX]} the {=yTextAlc[randY]} increases by approximately {=floor(m)}</p><div class="editor-indent" style="margin-left: 30px;"><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr" style="text-align: left;">{=XTextUnit[randX]} 1:&nbsp;&nbsp;{=yTextAlc[randY]} = {=floor(m)}</p></div><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr" style="text-align: left;">{=XTextUnit[randX]} 2:&nbsp;&nbsp;{=yTextAlc[randY]} = {=floor(2*m)}</p></div><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr" style="text-align: left;">&nbsp;{=XTextUnit[randX]}&nbsp;{=maxX}:&nbsp;&nbsp;{=yTextAlc[randY]} = {=floor((maxX-1)*m)}</p></div></div><p dir="ltr" style="text-align: left;">Add&nbsp;{=floor(m)} +&nbsp;{=floor((maxX-1)*m)}</p><p dir="ltr" style="text-align: left;">The&nbsp;{=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1} = {=round(maxValue+m,0)}</p><p dir="ltr" style="text-align: left;">A reasonable answer is {=round(maxValue+(.5*m),0)} -&nbsp;{=round(maxValue+(1.5*m),0)}</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>highVal={.8:.9:.05};

maxY={100:1000:1};
maxX={4:8:1};
randY={0,1};
randX={0,1}</text>
</varsrandom>
<varsglobal><text><![CDATA[height=maxY*1.1;
minY=0;
yTextA=["Number of Students","Number of Customers"];
yTextAlc=["number of students","number of customers"];
xTextA=["Year Number","Month Number"];
XTextUnit=["year","month"];
yText=yTextA[randY];
xText=xTextA[randX];
maxValue=highVal*maxY;
m=maxValue/maxX;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>round(maxValue+m,0)</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[_err < .5*m]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">The {=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1}: {_0}<br></p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359097  -->
  <question type="formulas">
    <name>
      <text>L41- Bar Graph- read data</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart represents the final grades for the {numStudents} students in Algebra 1. Use the chart to answer the questions.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){

    dataArr[i]=data[i+1]*{factor};
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[The chart represents the final grades for the {numStudents} students in Algebra 1. Use the chart to answer the questions. &lt;br&gt;The grade for student {=student[0]} is {=grades[student[0]]*factor}%.
<jsxgraph width="200" height="150">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){
    if (i==={part1}-1){
    dataArr[i]=data[i+1]*{factor};
    } else{
    dataArr[i]=0;
    }
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>D1={1:11:1};
D2={1:11:1};
D3={1:11:1};
D4={1:11:1};
D5={1:11:1};
D6={1:11:1};
D7={1:11:1};
D8={1:11:1};
D9={1:11:1};
D10={1:11:1};
D11={1:11:1};
D12={1:11:1};
D13={1:11:1};
D14={1:11:1};
D15={1:11:1};
D16={1:11:1};
D17={1:11:1};
D18={1:11:1};
D19={1:11:1};
D20={1:11:1};
randStudent=shuffle([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]);
maxX={7:21:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[numStudents=maxX;
factor=10;
maxY=105;
height=maxY;
yText="Grade";
xText="Student Number";
grades=[D1,D2,D3,D4,D5,D6,D7,D8,D9,D10,D11,D12,D13,D14,D15,D16,D17,D18,D19,D20];
student=fill(20,0);
count=0;
for (i:[0:20]){
student[count]=(randStudent[i]<=maxX)?randStudent[i]:0;
count=(randStudent[i]<=maxX)?count+1:count;
}
part1=student[0];]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>grades[student[0]]*factor</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[_err < .5*1]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What is the grade of student # {=student[0]}?<br></p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359098  -->
  <question type="formulas">
    <name>
      <text>L41- Bar Graph- read data (frequency)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart represents the final grades for the {numStudents} students in Algebra 1. Use the chart to answer the questions.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){

    dataArr[i]=data[i]*{factor};
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[The chart represents the final grades for the {count} students in Algebra 1 that scored a {=factor*score}% on the test.&nbsp; &nbsp;<jsxgraph width="400" height="200">var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){
    if (data[i]==={score}){
    dataArr[i]=data[i]*{factor};
    } else{
    dataArr[i]=0;
    }
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>D1={1:11:1};
D2={1:11:1};
D3={1:11:1};
D4={1:11:1};
D5={1:11:1};
D6={1:11:1};
D7={1:11:1};
D8={1:11:1};
D9={1:11:1};
D10={1:11:1};
D11={1:11:1};
D12={1:11:1};
D13={1:11:1};
D14={1:11:1};
D15={1:11:1};
D16={1:11:1};
D17={1:11:1};
D18={1:11:1};
D19={1:11:1};
D20={1:11:1};

randStudent=shuffle([1,2,3,4,5,6,7,8,9,10,11]);
maxX={12:21:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[numStudents=maxX;
factor=10;
maxY=105;
height=maxY;
yText="Grade";
xText="Student Number";
grades=[D1,D2,D3,D4,D5,D6,D7,D8,D9,D10,D11,D12,D13,D14,D15,D16,D17,D18,D19,D20];
score=grades[randStudent[0]];
count=0;
for (i:[0:20]){
count=((grades[i]==score)&&(i<maxX))?count+1:count;
}]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>count</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">How many students received a {=factor*score}%? {_0} students</p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359118  -->
  <question type="formulas">
    <name>
      <text>L41- Bar Graph- read data (frequency)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart represents the final grades for the {numStudents} students in Algebra 1. Use the chart to answer the questions.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){

    dataArr[i]=data[i+1]*{factor};
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[The chart represents the final grades for the {count} students in Algebra 1 that scored a {=factor*score}% on the test.&nbsp; &nbsp;<jsxgraph width="400" height="200">var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){
    if (data[i+1]==={score}){
    dataArr[i]=data[i+1]*{factor};
    } else{
    dataArr[i]=0;
    }
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>D1={1:11:1};
D2={1:11:1};
D3={1:11:1};
D4={1:11:1};
D5={1:11:1};
D6={1:11:1};
D7={1:11:1};
D8={1:11:1};
D9={1:11:1};
D10={1:11:1};
D11={1:11:1};
D12={1:11:1};
D13={1:11:1};
D14={1:11:1};
D15={1:11:1};
D16={1:11:1};
D17={1:11:1};
D18={1:11:1};
D19={1:11:1};
D20={1:11:1};

randStudent=shuffle([1,2,3,4,5,6,7,8,9,10,11]);
maxX={12:21:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[numStudents=maxX;
factor=10;
maxY=105;
height=maxY;
yText="Grade";
xText="Student Number";
grades=[D1,D2,D3,D4,D5,D6,D7,D8,D9,D10,D11,D12,D13,D14,D15,D16,D17,D18,D19,D20];
score=grades[randStudent[0]];
count=0;
for (i:[0:20]){
count=((grades[i]==score)&&(i<maxX))?count+1:count;
}]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>count</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">How many students received a {=factor*score}%? {_0} students</p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359099  -->
  <question type="formulas">
    <name>
      <text>L41- Bar Graph- read data (specific score)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart represents the final grades for the {numStudents} students in Algebra 1. Use the chart to answer the questions.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){

    dataArr[i]=data[i+1]*{factor};
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[The chart represents the final grades for the {count} students in Algebra 1 that scored a {=factor*score}% on the test.&nbsp; &nbsp;<jsxgraph width="400" height="200">var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){
    if (data[i+1]==={score}){
    dataArr[i]=data[i+1]*{factor};
    } else{
    dataArr[i]=0;
    }
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>D1={1:11:1};
D2={1:11:1};
D3={1:11:1};
D4={1:11:1};
D5={1:11:1};
D6={1:11:1};
D7={1:11:1};
D8={1:11:1};
D9={1:11:1};
D10={1:11:1};
D11={1:11:1};
D12={1:11:1};
D13={1:11:1};
D14={1:11:1};
D15={1:11:1};
D16={1:11:1};
D17={1:11:1};
D18={1:11:1};
D19={1:11:1};
D20={1:11:1};

randStudent=shuffle([1,2,3,4,5,6,7,8,9,10,11]);
maxX={12:21:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[numStudents=maxX;
factor=10;
maxY=105;
height=maxY;
yText="Grade";
xText="Student Number";
grades=[D1,D2,D3,D4,D5,D6,D7,D8,D9,D10,D11,D12,D13,D14,D15,D16,D17,D18,D19,D20];
score=grades[randStudent[0]];
count=0;
for (i:[0:20]){
count=((grades[i]==score)&&(i<maxX))?count+1:count;
}]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[(grades[_0] == score) || ((count==0) && (_0 ==0))]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What student received a {=factor*score}%? (if more than one student received a {=factor*score}, then choose one student.)&nbsp;&nbsp;</p><p dir="ltr" style="text-align: left;">student # {_0} received a {=factor*score}%</p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359100  -->
  <question type="formulas">
    <name>
      <text>L41- line Graph- Missing Year</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. The data for {=XTextUnit[randX]} {missing} was accidently recorded as 0.   Based on the information for the chart, what is a reasonable guess for {=yTextAlc[randY]} in {=XTextUnit[randX]} {missing}.    <jsxgraph width="300" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });

    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){
    if (i==={missing}-1) {
    dataArr[i]=0;
    } else {
    dataArr[i]={m}*(i+1);
    } }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'line',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. The data for {=XTextUnit[randX]} {missing} was accidently recorded as 0. Based on the information for the chart, what is a reasonable guess for {=yTextAlc[randY]} in {=XTextUnit[randX]} {missing}.</p><p dir="ltr" style="text-align: left;"><span style="font-size: 0.9375rem;">Each&nbsp;{=XTextUnit[randX]} the {=yTextAlc[randY]} increases by approximately {=floor(m)}</span><br></p><p dir="ltr" style="text-align: left;"><span style="font-size: 0.9375rem;">Add&nbsp;{=floor(m)} +&nbsp;{=round((missing-1)*m,0)}</span></p><p dir="ltr" style="text-align: left;">The&nbsp;{=yTextAlc[randY]} in {=XTextUnit[randX]} {missing} = {=floor(m) + round((missing-1)*m,0)}</p><p dir="ltr" style="text-align: left;">A reasonable answer is {=round((missing*m)-m*.5,0)} to {=round((missing*m)+m*.5,0)}</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>highVal={.8:.9:.05};

maxY={100:1000:1};
maxX={7:10:1};
randY={0,1};
randX={0,1};
missing={2,3,4,5};</text>
</varsrandom>
<varsglobal><text><![CDATA[height=maxY*1.1;
minY=0;
yTextA=["Number of Students","Number of Customers"];
yTextAlc=["number of students","number of customers"];
xTextA=["Year Number","Month Number"];
XTextUnit=["year","month"];
yText=yTextA[randY];
xText=xTextA[randX];
maxValue=highVal*maxY;
m=maxValue/maxX;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>round(missing*m,0)</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[_err < .5*m]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">The {=yTextAlc[randY]} in {=XTextUnit[randX]} {missing}: {_0}<br></p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359101  -->
  <question type="formulas">
    <name>
      <text>L41- line Graph- Next Year</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. If the trend continues, predict the {=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1}. <jsxgraph width="300" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });

    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){

    dataArr[i]={m}*(i+1);
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'line',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. If the trend continues, predict the {=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1}.</p><p dir="ltr" style="text-align: left;">Each&nbsp;{=XTextUnit[randX]} the {=yTextAlc[randY]} increases by approximately {=floor(m)}</p><div class="editor-indent" style="margin-left: 30px;"><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr" style="text-align: left;">{=XTextUnit[randX]} 1:&nbsp;&nbsp;{=yTextAlc[randY]} = {=floor(m)}</p></div><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr" style="text-align: left;">{=XTextUnit[randX]} 2:&nbsp;&nbsp;{=yTextAlc[randY]} = {=floor(2*m)}</p></div><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr" style="text-align: left;">&nbsp;{=XTextUnit[randX]}&nbsp;{=maxX}:&nbsp;&nbsp;{=yTextAlc[randY]} = {=floor((maxX-1)*m)}</p></div></div><p dir="ltr" style="text-align: left;">Add&nbsp;{=floor(m)} +&nbsp;{=floor((maxX-1)*m)}</p><p dir="ltr" style="text-align: left;">The&nbsp;{=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1} = {=round(maxValue+m,0)}</p><p dir="ltr" style="text-align: left;">A reasonable answer is {=round(maxValue+(.5*m),0)} -&nbsp;{=round(maxValue+(1.5*m),0)}</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>highVal={.8:.9:.05};

maxY={100:1000:1};
maxX={4:8:1};
randY={0,1};
randX={0,1}</text>
</varsrandom>
<varsglobal><text><![CDATA[height=maxY*1.1;
minY=0;
yTextA=["Number of Students","Number of Customers"];
yTextAlc=["number of students","number of customers"];
xTextA=["Year Number","Month Number"];
XTextUnit=["year","month"];
yText=yTextA[randY];
xText=xTextA[randX];
maxValue=highVal*maxY;
m=maxValue/maxX;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>round(maxValue+m,0)</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[_err < .5*m]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">The {=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1}: {_0}<br></p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359102  -->
  <question type="formulas">
    <name>
      <text>L41- line Graph- read data (specific score) (copy)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart represents the final grades for the {numStudents} students in Algebra 1. Use the chart to answer the questions.<jsxgraph width="600" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){

    dataArr[i]=data[i+1]*{factor};
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'line',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[The chart represents the final grades for the {count} students in Algebra 1 that scored a {=factor*score}% on the test.&nbsp; &nbsp;<jsxgraph width="400" height="200">var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){
    if (data[i+1]==={score}){
    dataArr[i]=data[i+1]*{factor};
    } else{
    dataArr[i]=0;
    }
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>D1={1:11:1};
D2={1:11:1};
D3={1:11:1};
D4={1:11:1};
D5={1:11:1};
D6={1:11:1};
D7={1:11:1};
D8={1:11:1};
D9={1:11:1};
D10={1:11:1};
D11={1:11:1};
D12={1:11:1};
D13={1:11:1};
D14={1:11:1};
D15={1:11:1};
D16={1:11:1};
D17={1:11:1};
D18={1:11:1};
D19={1:11:1};
D20={1:11:1};

randStudent=shuffle([1,2,3,4,5,6,7,8,9,10,11]);
maxX={12:21:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[numStudents=maxX;
factor=10;
maxY=105;
height=maxY;
yText="Grade";
xText="Student Number";
grades=[D1,D2,D3,D4,D5,D6,D7,D8,D9,D10,D11,D12,D13,D14,D15,D16,D17,D18,D19,D20];
score=grades[randStudent[0]];
count=0;
for (i:[0:20]){
count=((grades[i]==score)&&(i<maxX))?count+1:count;
}]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[(grades[_0] == score) || ((count==0) && (_0 ==0))]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What student received a {=factor*score}%? (if more than one student received a {=factor*score}, then choose one student.)&nbsp;&nbsp;</p><p dir="ltr" style="text-align: left;">student # {_0} received a {=factor*score}%</p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359103  -->
  <question type="formulas">
    <name>
      <text>L41- Pie Chart</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The students in art class were asked what their favorite color is.   The data was graphed in the following pie chart.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-2.4,8,13.6,-4],
    axis:false,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    keepaspectratio:true
    });

    var dataArr = [{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8}];

    board.containerObj.style.backgroundColor = 'black';
    board.options.label.strokeColor = 'yellow';
    board.suspendUpdate();

    var a = board.create('chart', dataArr,
    {chartStyle:'pie',
    colors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    fillOpacity:0.8, center:[5,2], strokeColor:'black', highlightStrokeColor:'black', strokeWidth:4,
    labels:['{C1}','{C2}', '{C3}','{C4}', '{C5}', '{C6}','{C7}', '{C8}'],
    highlightColors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    highlightOnSector:true,
    highlightBySize:true,
    gradient:'linear'
    }
    );
    board.unsuspendUpdate();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The students favorite color is {=randColors[randHigh-1]}.&nbsp;&nbsp;</p><p dir="ltr" style="text-align: left;">The&nbsp;{=randColors[randHigh-1]} section of the pie chart is the largest section.</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[Data=shuffle([1:20]);
DataH={35:60:1};
randHigh={1:9:1};
randColors=shuffle(["red","green","blue","orange","yellow","pink","purple","brown","black","magenta"]);]]></text>
</varsrandom>
<varsglobal><text>C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
D1=(randHigh==1)?DataH:Data[0];
D2=(randHigh==2)?DataH:Data[1];
D3=(randHigh==3)?DataH:Data[2];
D4=(randHigh==4)?DataH:Data[3];
D5=(randHigh==5)?DataH:Data[4];
D6=(randHigh==6)?DataH:Data[5];
D7=(randHigh==7)?DataH:Data[6];
D8=(randHigh==8)?DataH:Data[7];</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randHigh-1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What color did the students like the most? {_0:randColors:MCE}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359104  -->
  <question type="formulas">
    <name>
      <text>L41- Pie Chart- favorite game</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The students in math class were asked what their favorite activity is.   The data was graphed in the following pie chart.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-2.4,8,13.6,-4],
    axis:false,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    keepaspectratio:true
    });

    var dataArr = [{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8}];

    board.containerObj.style.backgroundColor = 'black';
    board.options.label.strokeColor = 'yellow';
    board.suspendUpdate();

    var a = board.create('chart', dataArr,
    {chartStyle:'pie',
    colors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    fillOpacity:0.8, center:[5,2], strokeColor:'black', highlightStrokeColor:'black', strokeWidth:4,
    labels:['{E1}','{E2}', '{E3}','{E4}', '{E5}', '{E6}','{E7}', '{E8}'],
    highlightColors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    highlightOnSector:true,
    highlightBySize:true,
    gradient:'linear'
    }
    );
    board.unsuspendUpdate();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The students favorite activity is {=randColors[randHigh-1]}.&nbsp;&nbsp;</p><p dir="ltr" style="text-align: left;">The&nbsp;{=randColors[randHigh-1]} section of the pie chart is the largest section.</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[Data=shuffle([1:20]);
DataH={35:60:1};
randHigh={1:9:1};
randE=shuffle(["watch a movie","play games","bike ride","rollerblade","swim","milk a goat","read","hike","sew","wood carve"]);
randColors=shuffle(["red","green","blue","orange","yellow","pink","purple","brown","black","magenta"]);

]]></text>
</varsrandom>
<varsglobal><text>C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
E1=randE[0];
E2=randE[1];
E3=randE[2];
E4=randE[3];
E5=randE[4];
E6=randE[5];
E7=randE[6];
E8=randE[7];
C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
D1=(randHigh==1)?DataH:Data[0];
D2=(randHigh==2)?DataH:Data[1];
D3=(randHigh==3)?DataH:Data[2];
D4=(randHigh==4)?DataH:Data[3];
D5=(randHigh==5)?DataH:Data[4];
D6=(randHigh==6)?DataH:Data[5];
D7=(randHigh==7)?DataH:Data[6];
D8=(randHigh==8)?DataH:Data[7];


</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randHigh-1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What color did the students like the most? {_0:randE:MCE}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359106  -->
  <question type="formulas">
    <name>
      <text>L41- Pie Chart- favorite game (number shown)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The students in math class were asked what their favorite activity is. The data was graphed in the following pie chart.&nbsp; The number of votes are written next to each category in parentheses.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-2.4,8,13.6,-4],
    axis:false,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    keepaspectratio:true
    });

    var dataArr = [{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8}];

    board.containerObj.style.backgroundColor = 'black';
    board.options.label.strokeColor = 'yellow';
    board.suspendUpdate();

    var a = board.create('chart', dataArr,
    {chartStyle:'pie',
    colors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    fillOpacity:0.8, center:[5,2], strokeColor:'black', highlightStrokeColor:'black', strokeWidth:4,
    labels:['{E1} ({D1})','{E2}({D2})', '{E3}({D3})','{E4}({D4})', '{E5}({D5})', '{E6}({D6})','{E7}({D7})', '{E8}({D8})'],
    highlightColors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    highlightOnSector:true,
    highlightBySize:true,
    gradient:'linear'
    }
    );
    board.unsuspendUpdate();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>2.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[Data=shuffle([6:20]);
DataH={35:60:1};
randHL=shuffle([0,1,2,3,4,5,6,7]);
DataL={1:5};

randE=shuffle(["watch a movie","play games","bike ride","rollerblade","swim","milk a goat","read","hike","sew","wood carve"]);
randColors=shuffle(["red","green","blue","orange","yellow","pink","purple","brown","black","magenta"]);

]]></text>
</varsrandom>
<varsglobal><text>randLow=randHL[1];
randHigh=randHL[0];
C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
E1=randE[0];
E2=randE[1];
E3=randE[2];
E4=randE[3];
E5=randE[4];
E6=randE[5];
E7=randE[6];
E8=randE[7];
C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
Data[randHigh]=DataH;
Data[randLow]=DataL;
D1=Data[0];
D2=Data[1];
D3=Data[2];
D4=Data[3];
D5=Data[4];
D6=Data[5];
D7=Data[6];
D8=Data[7];




</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randHigh</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What activity did the students like the most? {_0:randE:MCE}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><p dir="ltr">The students favorite activity is represented by the {=randColors[randHigh]} section.&nbsp;&nbsp;</p><p dir="ltr">The&nbsp;{=randColors[randHigh]} section of the pie chart is the largest section with {DataH} votes.</p><p dir="ltr">The activity is {=randE[randHigh]}.</p><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randLow</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What activity did the students like the least? {_0:randE:MCE}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><p dir="ltr">The students least favorite activity is represented by the {=randColors[randLow]} section.&nbsp;&nbsp;</p><p dir="ltr">The&nbsp;{=randColors[randLow]} section of the pie chart is the smallest section section with {DataL} votes.</p><p dir="ltr">The activity is {=randE[randLow]}.</p><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359105  -->
  <question type="formulas">
    <name>
      <text>L41- Pie Chart- favorite sport</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The students in math class were asked what their favorite sport is.   The data was graphed in the following pie chart.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-2.4,8,13.6,-4],
    axis:false,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    keepaspectratio:true
    });

    var dataArr = [{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8}];

    board.containerObj.style.backgroundColor = 'black';
    board.options.label.strokeColor = 'yellow';
    board.suspendUpdate();

    var a = board.create('chart', dataArr,
    {chartStyle:'pie',
    colors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    fillOpacity:0.8, center:[5,2], strokeColor:'black', highlightStrokeColor:'black', strokeWidth:4,
    labels:['{E1}','{E2}', '{E3}','{E4}', '{E5}', '{E6}','{E7}', '{E8}'],
    highlightColors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    highlightOnSector:true,
    highlightBySize:true,
    gradient:'linear'
    }
    );
    board.unsuspendUpdate();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The students favorite sport is&nbsp; {=randE[randHigh-1]}.&nbsp;&nbsp;</p><p dir="ltr" style="text-align: left;">The&nbsp;{=randColors[randHigh-1]} section of the pie chart is the largest section.</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[Data=shuffle([1:20]);
DataH={35:60:1};
randHigh={1:9:1};
randE=shuffle(["soccer","swimming","football","lacrosse","baseball","basketball","golf","tennis","track and field","volleyball","pickleball","hockey"]);
randColors=shuffle(["red","green","blue","orange","yellow","pink","purple","brown","black","magenta"]);

]]></text>
</varsrandom>
<varsglobal><text>C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
E1=randE[0];
E2=randE[1];
E3=randE[2];
E4=randE[3];
E5=randE[4];
E6=randE[5];
E7=randE[6];
E8=randE[7];
C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
D1=(randHigh==1)?DataH:Data[0];
D2=(randHigh==2)?DataH:Data[1];
D3=(randHigh==3)?DataH:Data[2];
D4=(randHigh==4)?DataH:Data[3];
D5=(randHigh==5)?DataH:Data[4];
D6=(randHigh==6)?DataH:Data[5];
D7=(randHigh==7)?DataH:Data[6];
D8=(randHigh==8)?DataH:Data[7];


</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randHigh-1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What sport did the students like the most? {_0:randE:MCE}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359115  -->
  <question type="formulas">
    <name>
      <text>L41- Pie Chart- favorite sport</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The students in math class were asked what their favorite sport is.   The data was graphed in the following pie chart.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-2.4,8,13.6,-4],
    axis:false,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    keepaspectratio:true
    });

    var dataArr = [{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8}];

    board.containerObj.style.backgroundColor = 'black';
    board.options.label.strokeColor = 'yellow';
    board.suspendUpdate();

    var a = board.create('chart', dataArr,
    {chartStyle:'pie',
    colors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    fillOpacity:0.8, center:[5,2], strokeColor:'black', highlightStrokeColor:'black', strokeWidth:4,
    labels:['{E1}','{E2}', '{E3}','{E4}', '{E5}', '{E6}','{E7}', '{E8}'],
    highlightColors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    highlightOnSector:true,
    highlightBySize:true,
    gradient:'linear'
    }
    );
    board.unsuspendUpdate();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The students favorite sport is {=randColors[randHigh-1]}.&nbsp;&nbsp;</p><p dir="ltr" style="text-align: left;">The&nbsp;{=randColors[randHigh-1]} section of the pie chart is the largest section.</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[Data=shuffle([1:20]);
DataH={35:60:1};
randHigh={1:9:1};
randE=shuffle(["soccer","swimming","football","lacrosse","baseball","basketball","golf","tennis","track and field","volleyball","pickleball","hockey"]);
randColors=shuffle(["red","green","blue","orange","yellow","pink","purple","brown","black","magenta"]);

]]></text>
</varsrandom>
<varsglobal><text>C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
E1=randE[0];
E2=randE[1];
E3=randE[2];
E4=randE[3];
E5=randE[4];
E6=randE[5];
E7=randE[6];
E8=randE[7];
C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
D1=(randHigh==1)?DataH:Data[0];
D2=(randHigh==2)?DataH:Data[1];
D3=(randHigh==3)?DataH:Data[2];
D4=(randHigh==4)?DataH:Data[3];
D5=(randHigh==5)?DataH:Data[4];
D6=(randHigh==6)?DataH:Data[5];
D7=(randHigh==7)?DataH:Data[6];
D8=(randHigh==8)?DataH:Data[7];


</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randHigh-1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What color did the students like the most? {_0:randE:MCE}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 359107  -->
  <question type="formulas">
    <name>
      <text>L41- Pie Chart- random scenario (number shown)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The students in math class were asked what their favorite {activity} is. The data was graphed in the following pie chart.&nbsp; The number of votes are written next to each category in parentheses.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-2.4,8,13.6,-4],
    axis:false,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    keepaspectratio:true
    });

    var dataArr = [{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8}];

    board.containerObj.style.backgroundColor = 'black';
    board.options.label.strokeColor = 'yellow';
    board.suspendUpdate();

    var a = board.create('chart', dataArr,
    {chartStyle:'pie',
    colors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    fillOpacity:0.8, center:[5,2], strokeColor:'black', highlightStrokeColor:'black', strokeWidth:4,
    labels:['{E1} ({D1})','{E2}({D2})', '{E3}({D3})','{E4}({D4})', '{E5}({D5})', '{E6}({D6})','{E7}({D7})', '{E8}({D8})'],
    highlightColors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    highlightOnSector:true,
    highlightBySize:true,
    gradient:'linear'
    }
    );
    board.unsuspendUpdate();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>2.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[Data=shuffle([6:20]);
DataH={35:60:1};
randHL=shuffle([0,1,2,3,4,5,6,7]);
DataL={1:5};

rand0=shuffle(["watch a movie","play games","bike ride","rollerblade","swim","milk a goat","read","hike","sew","wood carve"]);
rand1=shuffle(["Italian","Mexican","Chinese","Indian","American","Cuban","Fast Food","Japanese","Salad Bar","Tex Mex","Barbecue","Seafood","Breakfast"]);
rand2=shuffle(["bowling","swimming","tennis","basketball","baseball","football","soccer","ping pong","pickleball","bicycling","diving","wrestling","karate","Jujitsu","volleyball"]);
randColors=shuffle(["red","green","blue","orange","yellow","pink","purple","brown","black","magenta"]);
randSc={0,1,2}
]]></text>
</varsrandom>
<varsglobal><text><![CDATA[activity=pick(randSc,"activity","dinner","sport");
randE=pick(randSc,rand0,rand1,rand2);
randLow=randHL[1];
randHigh=randHL[0];
C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
E1=randE[0];
E2=randE[1];
E3=randE[2];
E4=randE[3];
E5=randE[4];
E6=randE[5];
E7=randE[6];
E8=randE[7];
C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
Data[randHigh]=DataH;
Data[randLow]=DataL;
D1=Data[0];
D2=Data[1];
D3=Data[2];
D4=Data[3];
D5=Data[4];
D6=Data[5];
D7=Data[6];
D8=Data[7];
choices=[randE[0],randE[1],randE[2],randE[3],randE[4],randE[5],randE[6],randE[7]];;



]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randHigh</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What {activity} did the students like the most? {_0:choices:MCE}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><p dir="ltr">The students favorite {activity} is represented by the {=randColors[randHigh]} section.&nbsp;&nbsp;</p><p dir="ltr">The&nbsp;{=randColors[randHigh]} section of the pie chart is the largest section with {DataH} votes.</p><p dir="ltr">The {activity} is {=randE[randHigh]}.</p><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randLow</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What {activity} did the students like the least? {_0:choices:MCE}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><p dir="ltr">The students least favorite {activity} is represented by the {=randColors[randLow]} section.&nbsp;&nbsp;</p><p dir="ltr">The&nbsp;{=randColors[randLow]} section of the pie chart is the smallest section section with {DataL} votes.</p><p dir="ltr">The {activity} is {=randE[randLow]}.</p><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L41- Statistics - Pie Charts, Line And Bar Graphs/L41-Bar Graphs</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360078  -->
  <question type="formulas">
    <name>
      <text>L41- Bar Graph- Missing Year</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. The data for {=XTextUnit[randX]} {missing} was accidently left off the chart.   Based on the information for the chart, what is a reasonable guess for {=yTextAlc[randY]} in {=XTextUnit[randX]} {missing}.    <jsxgraph width="300" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });

    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){
    if (i==={missing}-1) {
    dataArr[i]=0;
    } else {
    dataArr[i]={m}*(i+1);
    } }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. The data for {=XTextUnit[randX]} {missing} was accidently left off the chart. Based on the information for the chart, what is a reasonable guess for {=yTextAlc[randY]} in {=XTextUnit[randX]} {missing}.</p><p dir="ltr" style="text-align: left;"><span style="font-size: 0.9375rem;">Each&nbsp;{=XTextUnit[randX]} the {=yTextAlc[randY]} increases by approximately {=floor(m)}</span><br></p><p dir="ltr" style="text-align: left;"><span style="font-size: 0.9375rem;">Add&nbsp;{=floor(m)} +&nbsp;{=round((missing-1)*m,0)}</span></p><p dir="ltr" style="text-align: left;">The&nbsp;{=yTextAlc[randY]} in {=XTextUnit[randX]} {missing} = {=floor(m) + round((missing-1)*m,0)}</p><p dir="ltr" style="text-align: left;">A reasonable answer is {=round((missing*m)-m*.5,0)} to {=round((missing*m)+m*.5,0)}</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>highVal={.8:.9:.05};

maxY={100:1000:1};
maxX={7:10:1};
randY={0,1};
randX={0,1};
missing={2,3,4,5};</text>
</varsrandom>
<varsglobal><text><![CDATA[height=maxY*1.1;
minY=0;
yTextA=["Number of Students","Number of Customers"];
yTextAlc=["number of students","number of customers"];
xTextA=["Year Number","Month Number"];
XTextUnit=["year","month"];
yText=yTextA[randY];
xText=xTextA[randX];
maxValue=highVal*maxY;
m=maxValue/maxX;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>round(missing*m,0)</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[_err < .5*m]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">The {=yTextAlc[randY]} in {=XTextUnit[randX]} {missing}: {_0}<br></p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
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                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360079  -->
  <question type="formulas">
    <name>
      <text>L41- Bar Graph- Next Year</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. If the trend continues, predict the {=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1}. <jsxgraph width="300" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });

    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){

    dataArr[i]={m}*(i+1);
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. If the trend continues, predict the {=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1}.</p><p dir="ltr" style="text-align: left;">Each&nbsp;{=XTextUnit[randX]} the {=yTextAlc[randY]} increases by approximately {=floor(m)}</p><div class="editor-indent" style="margin-left: 30px;"><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr" style="text-align: left;">{=XTextUnit[randX]} 1:&nbsp;&nbsp;{=yTextAlc[randY]} = {=floor(m)}</p></div><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr" style="text-align: left;">{=XTextUnit[randX]} 2:&nbsp;&nbsp;{=yTextAlc[randY]} = {=floor(2*m)}</p></div><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr" style="text-align: left;">&nbsp;{=XTextUnit[randX]}&nbsp;{=maxX}:&nbsp;&nbsp;{=yTextAlc[randY]} = {=floor((maxX-1)*m)}</p></div></div><p dir="ltr" style="text-align: left;">Add&nbsp;{=floor(m)} +&nbsp;{=floor((maxX-1)*m)}</p><p dir="ltr" style="text-align: left;">The&nbsp;{=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1} = {=round(maxValue+m,0)}</p><p dir="ltr" style="text-align: left;">A reasonable answer is {=round(maxValue+(.5*m),0)} -&nbsp;{=round(maxValue+(1.5*m),0)}</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>highVal={.8:.9:.05};

maxY={100:1000:1};
maxX={4:8:1};
randY={0,1};
randX={0,1}</text>
</varsrandom>
<varsglobal><text><![CDATA[height=maxY*1.1;
minY=0;
yTextA=["Number of Students","Number of Customers"];
yTextAlc=["number of students","number of customers"];
xTextA=["Year Number","Month Number"];
XTextUnit=["year","month"];
yText=yTextA[randY];
xText=xTextA[randX];
maxValue=highVal*maxY;
m=maxValue/maxX;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>round(maxValue+m,0)</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[_err < .5*m]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">The {=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1}: {_0}<br></p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360080  -->
  <question type="formulas">
    <name>
      <text>L41- Bar Graph- read data</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart represents the final grades for the {numStudents} students in Algebra 1. Use the chart to answer the questions.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){

    dataArr[i]=data[i+1]*{factor};
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[The chart represents the final grades for the {numStudents} students in Algebra 1. Use the chart to answer the questions. &lt;br&gt;The grade for student {=student[0]} is {=grades[student[0]]*factor}%.
<jsxgraph width="200" height="150">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){
    if (i==={part1}-1){
    dataArr[i]=data[i+1]*{factor};
    } else{
    dataArr[i]=0;
    }
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>D1={1:11:1};
D2={1:11:1};
D3={1:11:1};
D4={1:11:1};
D5={1:11:1};
D6={1:11:1};
D7={1:11:1};
D8={1:11:1};
D9={1:11:1};
D10={1:11:1};
D11={1:11:1};
D12={1:11:1};
D13={1:11:1};
D14={1:11:1};
D15={1:11:1};
D16={1:11:1};
D17={1:11:1};
D18={1:11:1};
D19={1:11:1};
D20={1:11:1};
randStudent=shuffle([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]);
maxX={7:21:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[numStudents=maxX;
factor=10;
maxY=105;
height=maxY;
yText="Grade";
xText="Student Number";
grades=[D1,D2,D3,D4,D5,D6,D7,D8,D9,D10,D11,D12,D13,D14,D15,D16,D17,D18,D19,D20];
student=fill(20,0);
count=0;
for (i:[0:20]){
student[count]=(randStudent[i]<=maxX)?randStudent[i]:0;
count=(randStudent[i]<=maxX)?count+1:count;
}
part1=student[0];]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>grades[student[0]]*factor</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[_err < .5*1]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What is the grade of student # {=student[0]}?<br></p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360081  -->
  <question type="formulas">
    <name>
      <text>L41- Bar Graph- read data (frequency)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart represents the final grades for the {numStudents} students in Algebra 1. Use the chart to answer the questions.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){

    dataArr[i]=data[i]*{factor};
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[The chart represents the final grades for the {count} students in Algebra 1 that scored a {=factor*score}% on the test.&nbsp; &nbsp;<jsxgraph width="400" height="200">var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){
    if (data[i]==={score}){
    dataArr[i]=data[i]*{factor};
    } else{
    dataArr[i]=0;
    }
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>D1={1:11:1};
D2={1:11:1};
D3={1:11:1};
D4={1:11:1};
D5={1:11:1};
D6={1:11:1};
D7={1:11:1};
D8={1:11:1};
D9={1:11:1};
D10={1:11:1};
D11={1:11:1};
D12={1:11:1};
D13={1:11:1};
D14={1:11:1};
D15={1:11:1};
D16={1:11:1};
D17={1:11:1};
D18={1:11:1};
D19={1:11:1};
D20={1:11:1};

randStudent=shuffle([0,1,2,3,4,5,6,7,8,9,10,11]);
maxX={12:21:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[numStudents=maxX;
factor=10;
maxY=105;
height=maxY;
yText="Grade";
xText="Student Number";
grades=[D1,D2,D3,D4,D5,D6,D7,D8,D9,D10,D11,D12,D13,D14,D15,D16,D17,D18,D19,D20];
score=grades[randStudent[0]];
count=0;
for (i:[0:20]){
count=((grades[i]==score)&&(i<maxX))?count+1:count;
}]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>count</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">How many students received a {=factor*score}%? {_0} students</p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360082  -->
  <question type="formulas">
    <name>
      <text>L41- Bar Graph- read data (specific score)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart represents the final grades for the {numStudents} students in Algebra 1. Use the chart to answer the questions.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){

    dataArr[i]=data[i+1]*{factor};
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[The chart represents the final grades for the {count} students in Algebra 1 that scored a {=factor*score}% on the test.&nbsp; &nbsp;<jsxgraph width="400" height="200">var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){
    if (data[i+1]==={score}){
    dataArr[i]=data[i+1]*{factor};
    } else{
    dataArr[i]=0;
    }
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>D1={1:11:1};
D2={1:11:1};
D3={1:11:1};
D4={1:11:1};
D5={1:11:1};
D6={1:11:1};
D7={1:11:1};
D8={1:11:1};
D9={1:11:1};
D10={1:11:1};
D11={1:11:1};
D12={1:11:1};
D13={1:11:1};
D14={1:11:1};
D15={1:11:1};
D16={1:11:1};
D17={1:11:1};
D18={1:11:1};
D19={1:11:1};
D20={1:11:1};

randStudent=shuffle([1,2,3,4,5,6,7,8,9,10,11]);
maxX={12:21:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[numStudents=maxX;
factor=10;
maxY=105;
height=maxY;
yText="Grade";
xText="Student Number";
grades=[D1,D2,D3,D4,D5,D6,D7,D8,D9,D10,D11,D12,D13,D14,D15,D16,D17,D18,D19,D20];
score=grades[randStudent[0]];
count=0;
for (i:[0:20]){
count=((grades[i]==score)&&(i<maxX))?count+1:count;
}]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[(grades[_0] == score) || ((count==0) && (_0 ==0))]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What student received a {=factor*score}%? (if more than one student received a {=factor*score}, then choose one student.)&nbsp;&nbsp;</p><p dir="ltr" style="text-align: left;">student # {_0} received a {=factor*score}%</p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L41- Statistics - Pie Charts, Line And Bar Graphs/L41-Pie Charts</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360085  -->
  <question type="formulas">
    <name>
      <text>L41- Pie Chart</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The students in art class were asked what their favorite color is.   The data was graphed in the following pie chart.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-2.4,8,13.6,-4],
    axis:false,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    keepaspectratio:true
    });

    var dataArr = [{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8}];

    board.containerObj.style.backgroundColor = 'black';
    board.options.label.strokeColor = 'yellow';
    board.suspendUpdate();

    var a = board.create('chart', dataArr,
    {chartStyle:'pie',
    colors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    fillOpacity:0.8, center:[5,2], strokeColor:'black', highlightStrokeColor:'black', strokeWidth:4,
    labels:['{C1}','{C2}', '{C3}','{C4}', '{C5}', '{C6}','{C7}', '{C8}'],
    highlightColors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    highlightOnSector:true,
    highlightBySize:true,
    gradient:'linear'
    }
    );
    board.unsuspendUpdate();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The students favorite color is {=randColors[randHigh-1]}.&nbsp;&nbsp;</p><p dir="ltr" style="text-align: left;">The&nbsp;{=randColors[randHigh-1]} section of the pie chart is the largest section.</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[Data=shuffle([1:20]);
DataH={35:60:1};
randHigh={1:9:1};
randColors=shuffle(["red","green","blue","orange","yellow","pink","purple","brown","black","magenta"]);]]></text>
</varsrandom>
<varsglobal><text>C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
D1=(randHigh==1)?DataH:Data[0];
D2=(randHigh==2)?DataH:Data[1];
D3=(randHigh==3)?DataH:Data[2];
D4=(randHigh==4)?DataH:Data[3];
D5=(randHigh==5)?DataH:Data[4];
D6=(randHigh==6)?DataH:Data[5];
D7=(randHigh==7)?DataH:Data[6];
D8=(randHigh==8)?DataH:Data[7];</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randHigh-1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What color did the students like the most? {_0:randColors:MCE}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360086  -->
  <question type="formulas">
    <name>
      <text>L41- Pie Chart- favorite game</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The students in math class were asked what their favorite activity is.   The data was graphed in the following pie chart.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-2.4,8,13.6,-4],
    axis:false,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    keepaspectratio:true
    });

    var dataArr = [{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8}];

    board.containerObj.style.backgroundColor = 'black';
    board.options.label.strokeColor = 'yellow';
    board.suspendUpdate();

    var a = board.create('chart', dataArr,
    {chartStyle:'pie',
    colors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    fillOpacity:0.8, center:[5,2], strokeColor:'black', highlightStrokeColor:'black', strokeWidth:4,
    labels:['{E1}','{E2}', '{E3}','{E4}', '{E5}', '{E6}','{E7}', '{E8}'],
    highlightColors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    highlightOnSector:true,
    highlightBySize:true,
    gradient:'linear'
    }
    );
    board.unsuspendUpdate();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The students favorite activity is {=randColors[randHigh-1]}.&nbsp;&nbsp;</p><p dir="ltr" style="text-align: left;">The&nbsp;{=randColors[randHigh-1]} section of the pie chart is the largest section.</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[Data=shuffle([1:20]);
DataH={35:60:1};
randHigh={1:9:1};
randE=shuffle(["watch a movie","play games","bike ride","rollerblade","swim","milk a goat","read","hike","sew","wood carve"]);
randColors=shuffle(["red","green","blue","orange","yellow","pink","purple","brown","black","magenta"]);

]]></text>
</varsrandom>
<varsglobal><text>C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
E1=randE[0];
E2=randE[1];
E3=randE[2];
E4=randE[3];
E5=randE[4];
E6=randE[5];
E7=randE[6];
E8=randE[7];
C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
D1=(randHigh==1)?DataH:Data[0];
D2=(randHigh==2)?DataH:Data[1];
D3=(randHigh==3)?DataH:Data[2];
D4=(randHigh==4)?DataH:Data[3];
D5=(randHigh==5)?DataH:Data[4];
D6=(randHigh==6)?DataH:Data[5];
D7=(randHigh==7)?DataH:Data[6];
D8=(randHigh==8)?DataH:Data[7];


</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randHigh-1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What activity did the students like the most? {_0:randE:MCE}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360089  -->
  <question type="formulas">
    <name>
      <text>L41- Pie Chart- favorite game (number shown)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The students in math class were asked what their favorite activity is. The data was graphed in the following pie chart.&nbsp; The number of votes are written next to each category in parentheses.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-2.4,8,13.6,-4],
    axis:false,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    keepaspectratio:true
    });

    var dataArr = [{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8}];

    board.containerObj.style.backgroundColor = 'black';
    board.options.label.strokeColor = 'yellow';
    board.suspendUpdate();

    var a = board.create('chart', dataArr,
    {chartStyle:'pie',
    colors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    fillOpacity:0.8, center:[5,2], strokeColor:'black', highlightStrokeColor:'black', strokeWidth:4,
    labels:['{E1} ({D1})','{E2}({D2})', '{E3}({D3})','{E4}({D4})', '{E5}({D5})', '{E6}({D6})','{E7}({D7})', '{E8}({D8})'],
    highlightColors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    highlightOnSector:true,
    highlightBySize:true,
    gradient:'linear'
    }
    );
    board.unsuspendUpdate();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>2.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[Data=shuffle([6:20]);
DataH={35:60:1};
randHL=shuffle([0,1,2,3,4,5,6,7]);
DataL={1:5};

randE=shuffle(["watch a movie","play games","bike ride","rollerblade","swim","milk a goat","read","hike","sew","wood carve"]);
randColors=shuffle(["red","green","blue","orange","yellow","pink","purple","brown","black","magenta"]);]]></text>
</varsrandom>
<varsglobal><text>randLow=randHL[1];
randHigh=randHL[0];
C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
E1=randE[0];
E2=randE[1];
E3=randE[2];
E4=randE[3];
E5=randE[4];
E6=randE[5];
E7=randE[6];
E8=randE[7];
C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
Data[randHigh]=DataH;
Data[randLow]=DataL;
D1=Data[0];
D2=Data[1];
D3=Data[2];
D4=Data[3];
D5=Data[4];
D6=Data[5];
D7=Data[6];
D8=Data[7];</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randHigh</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What activity did the students like the most? {_0:randE:MCE}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><p dir="ltr">The students favorite activity is represented by the {=randColors[randHigh]} section.&nbsp;&nbsp;</p><p dir="ltr">The&nbsp;{=randColors[randHigh]} section of the pie chart is the largest section with {DataH} votes.</p><p dir="ltr">The activity is {=randE[randHigh]}.</p><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randLow</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What activity did the students like the least? {_0:randE:MCE}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><p dir="ltr">The students least favorite activity is represented by the {=randColors[randLow]} section.&nbsp;&nbsp;</p><p dir="ltr">The&nbsp;{=randColors[randLow]} section of the pie chart is the smallest section section with {DataL} votes.</p><p dir="ltr">The activity is {=randE[randLow]}.</p><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360087  -->
  <question type="formulas">
    <name>
      <text>L41- Pie Chart- favorite sport</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The students in math class were asked what their favorite sport is.   The data was graphed in the following pie chart.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-2.4,8,13.6,-4],
    axis:false,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    keepaspectratio:true
    });

    var dataArr = [{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8}];

    board.containerObj.style.backgroundColor = 'black';
    board.options.label.strokeColor = 'yellow';
    board.suspendUpdate();

    var a = board.create('chart', dataArr,
    {chartStyle:'pie',
    colors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    fillOpacity:0.8, center:[5,2], strokeColor:'black', highlightStrokeColor:'black', strokeWidth:4,
    labels:['{E1}','{E2}', '{E3}','{E4}', '{E5}', '{E6}','{E7}', '{E8}'],
    highlightColors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    highlightOnSector:true,
    highlightBySize:true,
    gradient:'linear'
    }
    );
    board.unsuspendUpdate();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The students favorite sport is {=randColors[randHigh-1]}.&nbsp;&nbsp;</p><p dir="ltr" style="text-align: left;">The&nbsp;{=randColors[randHigh-1]} section of the pie chart is the largest section.</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[Data=shuffle([1:20]);
DataH={35:60:1};
randHigh={1:9:1};
randE=shuffle(["soccer","swimming","football","lacrosse","baseball","basketball","golf","tennis","track and field","volleyball","pickleball","hockey"]);
randColors=shuffle(["red","green","blue","orange","yellow","pink","purple","brown","black","magenta"]);

]]></text>
</varsrandom>
<varsglobal><text>C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
E1=randE[0];
E2=randE[1];
E3=randE[2];
E4=randE[3];
E5=randE[4];
E6=randE[5];
E7=randE[6];
E8=randE[7];
C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
D1=(randHigh==1)?DataH:Data[0];
D2=(randHigh==2)?DataH:Data[1];
D3=(randHigh==3)?DataH:Data[2];
D4=(randHigh==4)?DataH:Data[3];
D5=(randHigh==5)?DataH:Data[4];
D6=(randHigh==6)?DataH:Data[5];
D7=(randHigh==7)?DataH:Data[6];
D8=(randHigh==8)?DataH:Data[7];


</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randHigh-1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What sport did the students like the most? {_0:randE:MCE}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360090  -->
  <question type="formulas">
    <name>
      <text>L41- Pie Chart- random scenario (number shown)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The students in math class were asked what their favorite {activity} is. The data was graphed in the following pie chart.&nbsp; The number of votes are written next to each category in parentheses.<jsxgraph width="400" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-2.4,8,13.6,-4],
    axis:false,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    keepaspectratio:true
    });

    var dataArr = [{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8}];

    board.containerObj.style.backgroundColor = 'black';
    board.options.label.strokeColor = 'yellow';
    board.suspendUpdate();

    var a = board.create('chart', dataArr,
    {chartStyle:'pie',
    colors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    fillOpacity:0.8, center:[5,2], strokeColor:'black', highlightStrokeColor:'black', strokeWidth:4,
    labels:['{E1} ({D1})','{E2}({D2})', '{E3}({D3})','{E4}({D4})', '{E5}({D5})', '{E6}({D6})','{E7}({D7})', '{E8}({D8})'],
    highlightColors:['{C1}','{C2}','{C3}','{C4}','{C5}','{C6}','{C7}','{C8}','#87CCEE','#0092CE'],
    highlightOnSector:true,
    highlightBySize:true,
    gradient:'linear'
    }
    );
    board.unsuspendUpdate();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>2.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[Data=shuffle([6:20]);
DataH={35:60:1};
randHL=shuffle([0,1,2,3,4,5,6,7]);
DataL={1:5};

rand0=shuffle(["watch a movie","play games","bike ride","rollerblade","swim","milk a goat","read","hike","sew","wood carve"]);
rand1=shuffle(["Italian","Mexican","Chinese","Indian","American","Cuban","Fast Food","Japanese","Salad Bar","Tex Mex","Barbecue","Seafood","Breakfast"]);
rand2=shuffle(["bowling","swimming","tennis","basketball","baseball","football","soccer","ping pong","pickleball","bicycling","diving","wrestling","karate","Jujitsu","volleyball"]);
randColors=shuffle(["red","green","blue","orange","yellow","pink","purple","brown","black","magenta"]);
randSc={0,1,2}]]></text>
</varsrandom>
<varsglobal><text><![CDATA[activity=pick(randSc,"activity","dinner","sport");
randE=pick(randSc,rand0,rand1,rand2);
randLow=randHL[1];
randHigh=randHL[0];
C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
E1=randE[0];
E2=randE[1];
E3=randE[2];
E4=randE[3];
E5=randE[4];
E6=randE[5];
E7=randE[6];
E8=randE[7];
C1=randColors[0];
C2=randColors[1];
C3=randColors[2];
C4=randColors[3];
C5=randColors[4];
C6=randColors[5];
C7=randColors[6];
C8=randColors[7];
Data[randHigh]=DataH;
Data[randLow]=DataL;
D1=Data[0];
D2=Data[1];
D3=Data[2];
D4=Data[3];
D5=Data[4];
D6=Data[5];
D7=Data[6];
D8=Data[7];
choices=[randE[0],randE[1],randE[2],randE[3],randE[4],randE[5],randE[6],randE[7]];;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
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  <text>0</text>
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  <text></text>
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 <numbox>
  <text>1</text>
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 <vars1>
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 <answer>
  <text>randHigh</text>
 </answer>
 <vars2>
  <text></text>
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 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
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 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What {activity} did the students like the most? {_0:choices:MCE}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><p dir="ltr">The students favorite {activity} is represented by the {=randColors[randHigh]} section.&nbsp;&nbsp;</p><p dir="ltr">The&nbsp;{=randColors[randHigh]} section of the pie chart is the largest section with {DataH} votes.</p><p dir="ltr">The {activity} is {=randE[randHigh]}.</p><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>randLow</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What {activity} did the students like the least? {_0:choices:MCE}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><p dir="ltr">The students least favorite {activity} is represented by the {=randColors[randLow]} section.&nbsp;&nbsp;</p><p dir="ltr">The&nbsp;{=randColors[randLow]} section of the pie chart is the smallest section section with {DataL} votes.</p><p dir="ltr">The {activity} is {=randE[randLow]}.</p><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L41- Statistics - Pie Charts, Line And Bar Graphs/L41- Line Graphs</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360094  -->
  <question type="formulas">
    <name>
      <text>L41- line Graph- Missing Year</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. The data for {=XTextUnit[randX]} {missing} was accidently recorded as 0.   Based on the information for the chart, what is a reasonable guess for the {=yTextAlc[randY]} in {=XTextUnit[randX]} {missing}.    <jsxgraph width="300" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });

    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){
    if (i==={missing}-1) {
    dataArr[i]=0;
    } else {
    dataArr[i]={m}*(i+1);
    } }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'line',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. The data for {=XTextUnit[randX]} {missing} was accidently recorded as 0. Based on the information for the chart, what is a reasonable guess for {=yTextAlc[randY]} in {=XTextUnit[randX]} {missing}.</p><p dir="ltr" style="text-align: left;"><span style="font-size: 0.9375rem;">Each&nbsp;{=XTextUnit[randX]} the {=yTextAlc[randY]} increases by approximately {=floor(m)}</span><br></p><p dir="ltr" style="text-align: left;"><span style="font-size: 0.9375rem;">Add&nbsp;{=floor(m)} +&nbsp;{=round((missing-1)*m,0)}</span></p><p dir="ltr" style="text-align: left;">The&nbsp;{=yTextAlc[randY]} in {=XTextUnit[randX]} {missing} = {=floor(m) + round((missing-1)*m,0)}</p><p dir="ltr" style="text-align: left;">A reasonable answer is {=round((missing*m)-m*.5,0)} to {=round((missing*m)+m*.5,0)}</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>highVal={.8:.9:.05};

maxY={100:1000:1};
maxX={7:10:1};
randY={0,1};
randX={0,1};
missing={2,3,4,5};</text>
</varsrandom>
<varsglobal><text><![CDATA[height=maxY*1.1;
minY=0;
yTextA=["Number of Students","Number of Customers"];
yTextAlc=["number of students","number of customers"];
xTextA=["Year Number","Month Number"];
XTextUnit=["year","month"];
yText=yTextA[randY];
xText=xTextA[randX];
maxValue=highVal*maxY;
m=maxValue/maxX;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>round(missing*m,0)</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[_err < .5*m]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">The {=yTextAlc[randY]} in {=XTextUnit[randX]} {missing}: {_0}<br></p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360095  -->
  <question type="formulas">
    <name>
      <text>L41- line Graph- Next Year</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. If the trend continues, predict the {=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1}. <jsxgraph width="300" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });

    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){

    dataArr[i]={m}*(i+1);
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'line',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The chart shows the data for the {=yTextAlc[randY]} for the past {=maxX} {=XTextUnit[randX]}s. If the trend continues, predict the {=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1}.</p><p dir="ltr" style="text-align: left;">Each&nbsp;{=XTextUnit[randX]} the {=yTextAlc[randY]} increases by approximately {=floor(m)}</p><div class="editor-indent" style="margin-left: 30px;"><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr" style="text-align: left;">{=XTextUnit[randX]} 1:&nbsp;&nbsp;{=yTextAlc[randY]} = {=floor(m)}</p></div><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr" style="text-align: left;">{=XTextUnit[randX]} 2:&nbsp;&nbsp;{=yTextAlc[randY]} = {=floor(2*m)}</p></div><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr" style="text-align: left;">&nbsp;{=XTextUnit[randX]}&nbsp;{=maxX}:&nbsp;&nbsp;{=yTextAlc[randY]} = {=floor((maxX-1)*m)}</p></div></div><p dir="ltr" style="text-align: left;">Add&nbsp;{=floor(m)} +&nbsp;{=floor((maxX-1)*m)}</p><p dir="ltr" style="text-align: left;">The&nbsp;{=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1} = {=round(maxValue+m,0)}</p><p dir="ltr" style="text-align: left;">A reasonable answer is {=round(maxValue+(.5*m),0)} -&nbsp;{=round(maxValue+(1.5*m),0)}</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>highVal={.8:.9:.05};

maxY={100:1000:1};
maxX={4:8:1};
randY={0,1};
randX={0,1}</text>
</varsrandom>
<varsglobal><text><![CDATA[height=maxY*1.1;
minY=0;
yTextA=["Number of Students","Number of Customers"];
yTextAlc=["number of students","number of customers"];
xTextA=["Year Number","Month Number"];
XTextUnit=["year","month"];
yText=yTextA[randY];
xText=xTextA[randX];
maxValue=highVal*maxY;
m=maxValue/maxX;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>round(maxValue+m,0)</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[_err < .5*m]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">The {=yTextAlc[randY]} in {=XTextUnit[randX]} {=maxX+1}: {_0}<br></p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360096  -->
  <question type="formulas">
    <name>
      <text>L41- line Graph- read data (specific score) (copy)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[The chart represents the final grades for the {numStudents} students in Algebra 1. Use the chart to answer the questions.<jsxgraph width="600" height="300">
    var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){

    dataArr[i]=data[i]*{factor};
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'line',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[The chart represents the final grades for the {count} students in Algebra 1 that scored a {=factor*score}% on the test.&nbsp; &nbsp;<jsxgraph width="400" height="200">var board=JXG.JSXGraph.initBoard(BOARDID,{
    boundingbox:[-.2*{maxX},{height},1.25*{maxX},-.1*{height}],
    axis:true,
    grid:false,
    showCopyright:false,
    showNavigation:false,
    });
    data=[{D1},{D2},{D3},{D4},{D5},{D6},{D7},{D8},{D9},{D10},{D11},{D12},{D13},{D14},{D15},{D16},{D17},{D18},{D19},{D20}];
    let dataArr=[];
    for (let i=0; JXG.Math.leq(i,{maxX}-1); i++){
    if (data[i]==={score}){
    dataArr[i]=data[i]*{factor};
    } else{
    dataArr[i]=0;
    }
    }

    var Ty=board.create('text',[-0.2*{maxX},{height}/2,"{yText}"],{display:'internal',rotate:90,fixed:true,anchorX:'middle',anchorY:'top'});
    var Tx=board.create('text',[{maxX}/2,-.05*{height},"{xText}"],{display:'internal',fixed:true,anchorX:'middle',anchorY:'top'});

    function lineChart() {
    board.suspendUpdate();
    var a = board.create('chart', dataArr,
    {chartStyle:'bar',
    strokeWidth:4,
    strokeColor:'#0000ff'});
    board.unsuspendUpdate();
    };
    lineChart();
</jsxgraph>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>D1={1:11:1};
D2={1:11:1};
D3={1:11:1};
D4={1:11:1};
D5={1:11:1};
D6={1:11:1};
D7={1:11:1};
D8={1:11:1};
D9={1:11:1};
D10={1:11:1};
D11={1:11:1};
D12={1:11:1};
D13={1:11:1};
D14={1:11:1};
D15={1:11:1};
D16={1:11:1};
D17={1:11:1};
D18={1:11:1};
D19={1:11:1};
D20={1:11:1};

randStudent=shuffle([1,2,3,4,5,6,7,8,9,10,11]);
maxX={12:21:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[numStudents=maxX;
factor=10;
maxY=105;
height=maxY;
yText="Grade";
xText="Student Number";
grades=[0,D1,D2,D3,D4,D5,D6,D7,D8,D9,D10,D11,D12,D13,D14,D15,D16,D17,D18,D19,D20];
score=grades[randStudent[0]];
count=0;
for (i:[0:20]){
count=((grades[i]==score)&&(i<maxX))?count+1:count;
}]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[(grades[_0] == score) || ((count==0) && (_0 ==0))]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">What student received a {=factor*score}%? (if more than one student received a {=factor*score}, then choose one student.)&nbsp;&nbsp;</p><p dir="ltr" style="text-align: left;">student # {_0} received a {=factor*score}%</p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L45 - Problem Solving- Draw a Graphs-Diagram</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360099  -->
  <question type="formulas">
    <name>
      <text>Animal Pen</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Farmer {farmer} is modifying a {animal} pen.&nbsp; The pen is a rectangle with length={length} {units} and width={width} {units}.&nbsp; The area is too small for the {animal}s. He decided to {=factorW[factor]} the length.&nbsp;</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"><img src="@@PLUGINFILE@@/AnimalPen.png" alt="" width="200" height="181" role="presentation" class="img-fluid atto_image_button_text-bottom"><br></p>]]></text>
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    </generalfeedback>
    <defaultgrade>3.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[length={2:16:1};
width={2:16:1};
factor={2,3};
farmer={"Joe","John","Jose","Jim","James","Joshua","Jo"};
animal={"pig","cow","goat","horse","dog"};
units={"meters","yards"};]]></text>
</varsrandom>
<varsglobal><text><![CDATA[factorW=["","","double","triple"];
A=length*width;
An=(length*factor) *width;
unit=[units,join("",units,"<sup>",2,"</sup>"),join("",units,"<sup>",3,"</sup>")];
boxL=(400/width)*length*factor;
boxW=400;
]]></text>
</varsglobal>
<answernumbering><text>none</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[A,1]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table><tbody><tr><td>What was the area of the <strong>original </strong>{animal} pen? <br>(length={length} and width={width})&nbsp;&nbsp;</td><td> {_0}</td><td>{_1:unit}</td></tr></tbody></table>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">Area = length x width</p><p dir="ltr" style="text-align: left;">Area = ({length})({width})</p><p dir="ltr" style="text-align: left;">Area = {A} {=unit[1]}</p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[length*factor,0]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td>What is the new length? </td>
            <td>{_0}</td>
          <td>{_1:unit}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">He decided to<span class="" style="color: rgb(255, 51, 102);"> {=factorW[factor]} </span>the length.&nbsp;<br></p><p dir="ltr" style="text-align: left;"><span class="" style="color: rgb(51, 102, 255);">The length was {length}.&nbsp;&nbsp;</span></p><p dir="ltr" style="text-align: left;"><span class="" style="color: rgb(255, 51, 102);">{=factorW[factor]} means {factor} times.</span><br></p><p dir="ltr" style="text-align: left;"><span class="" style="color: rgb(51, 102, 255);">{length}</span> x <span class="" style="color: rgb(255, 51, 102);">{factor}</span> = {=length*factor}</p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>2</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[An,1]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table><tbody><tr><td>What is the area of the <strong>larger pen</strong>?&nbsp; &nbsp;</td><td>{_0}</td><td>{_1:unit}</td></tr></tbody></table>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><p dir="ltr">Area of the larger pen = length x width</p><p dir="ltr">Area of the larger pen= ({=length*factor})({width})</p><p dir="ltr">Area of the larger pen= {An} {=unit[1]}</p><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360105  -->
  <question type="formulas">
    <name>
      <text>TL45- Farmer-pen relationship</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The farmer is planning to fence in an area for his garden.&nbsp; &nbsp;The length is {l} and the width is {w}.&nbsp; &nbsp;How will the area of the garden change if he doubles the length and doubles the width?</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">Area = length x width</p>
                <p dir="ltr" style="text-align: left;">A={l} x {w} = {areaP}</p>
                <p dir="ltr" style="text-align: left;">Double the length: 2 x {l} = {=2*l}</p>
                <p dir="ltr" style="text-align: left;">Double the width: 2 x {w} = {=2*w}</p>
                <p dir="ltr" style="text-align: left;">Area of the larger pen = {=2*l} * {=2*w} = {areaLP}</p>
          </td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td>
            <td>{areaP} x 1 = {areaP}<br>{areaP} x 2 = {=2*areaP}<br>{areaP} x 3 = {=3*areaP}<br><strong>{areaP} x 4 = {=4*areaP}</strong><br>{areaP} x 5 = {=5*areaP}<br><br></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>l={3:10:1};
w={2:11:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[areaP=l*w;
areaLP=(2*l)*(2*w);
choices=["There is not enough information", "The area stays the same","The area is twice as big","The area is three times as big","The area is four times as big","The area is five times as big"];]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>4</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{_0:choices:MCE}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360103  -->
  <question type="formulas">
    <name>
      <text>working on L45- Fill in Operations</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"><span style="font-size: 0.9375rem;">Choose the operations to make a true equation.</span><br>The operation choices are : addition(+), subtractions(-), multiplication(x), division(/)<br></p><p dir="ltr" style="text-align: left;"><br></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: right;"><strong><span class="" style="color: rgb(255, 51, 102);">{num1} {=operations[op0]} {num2}</span></strong> {=operations[op1]} {num3} {=operations[op2]} {num4} {=operations[op3]} {num5}={ans}<br></p>
                <p dir="ltr" style="text-align: left;"></p>
            </td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td>
            <td>

                <p dir="ltr"><strong>{=opWord[op0]}:&nbsp; {num1} {=operations[op0]} {num2} = {s1}</strong></p>

            </td>
        </tr>
        <tr>
            <td style="text-align: right;"><span class="" style="color: rgb(51, 102, 255);">&nbsp;</span><strong><span class="" style="color: rgb(51, 102, 255);">{s1} {=operations[op1]} {num3}</span> </strong>{=operations[op2]} {num4} {=operations[op3]} {num5}={ans}</td>
            <td></td>
            <td><strong>{=opWord[op1]}:&nbsp;{s1} {=operations[op1]} {num3}&nbsp;</strong></td>
        </tr>
        <tr>
            <td style="text-align: right;"><span class="" style="color: rgb(152, 202, 62);">&nbsp;</span><strong><span class="" style="color: rgb(152, 202, 62);">{s2}&nbsp;</span></strong><strong><span class="" style="color: rgb(152, 202, 62);">{=operations[op2]} {num4}</span></strong> {=operations[op3]} {num5}={ans}</td>
            <td></td>
            <td><strong>{=opWord[op2]}:&nbsp;</strong>&nbsp;<strong>{s2}&nbsp;</strong><strong>{=operations[op2]} {num4}</strong></td>
        </tr>
        <tr>
            <td style="text-align: right;"><strong><span class="" style="color: rgb(245, 184, 0);">{s3} {=operations[op3]} {num5}</span></strong>={ans}</td>
            <td></td>
            <td><strong>{=opWord[op3]}:{s3} {=operations[op3]} {num5}</strong></td>
        </tr>
        <tr>
            <td style="text-align: right;"><strong>{s4}={ans}</strong></td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>num1={1:10:1};
num2={1:10:1};
num3={1:10:1};
num4={1:10:1};
num5={1:10:1};
#0=add, 1=subt 2=mult  3=divide
op0={0,1};
op1={0,1};
op2={0,1};
op3={0,1};

</text>
</varsrandom>
<varsglobal><text><![CDATA[operations=["+","-","x","/"];
opWord=["add","subtract","multiply","divide"];
s1=pick(op0,num1+num2,num1-num2);
s2=pick(op1,s1+num3,s1-num3);
s3=pick(op2,s2+num4,s2-num4);
s4=pick(op3,s3+num5,s3-num5);
ans=s4;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>4</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[op0,op1,op2,op3]</text>
 </answer>
 <vars2>
  <text>e1=pick(_0,num1+num2,num1-num2,num1*num2,num1/num2);
e2=pick(_1,e1+num3,e1-num3,e1*num3,e1/num3);
e3=pick(_2,e2+num4,e2-num4,e2*num4,e2/num4);
e4=pick(_3,e3+num5,e3-num5,e3*num5,e3/num5);
criteria=(e4==ans);</text>
 </vars2>
 <correctness>
  <text>criteria</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{num1} {_0:operations:MCE} {num2} {_1:operations:MCE} {num3} {_2:operations:MCE} {num4} {_3:operations:MCE} {num5}= {ans}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360104  -->
  <question type="formulas">
    <name>
      <text>working on L45- Fill in Operations- add subt mult div</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"><span style="font-size: 0.9375rem;">Choose the operations to make a true equation.</span><br>The operation choices are : addition(+), subtractions(-), multiplication(x), division(/)<br></p><p dir="ltr" style="text-align: left;"><br></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: right;">{num1} {=operations[op0]} (<span class="" style="color: rgb(255, 51, 102);"> {num2} {=operations[op1]} {num3}</span>) {=operations[op2]} {num4}={ans}</p>

            </td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td>
            <td>

                <p dir="ltr">Simplify inside parentheses first:&nbsp; &nbsp;{num2} {=operations[op1]} {num3} = {s1}</p>

            </td>
        </tr>
        <tr>
            <td style="text-align: right;"><span class="" style="color: rgb(51, 102, 255);">{num1} {=operations[op0]} {s1}</span>&nbsp;{=operations[op2]} {num4}={ans}<br></td>
            <td></td>
            <td>Simplify from left to right:&nbsp;&nbsp;{num1} {=operations[op0]} {s1} = {s2}</td>
        </tr>
        <tr>
            <td style="text-align: right;">{s2} {=operations[op2]} {num4}={ans}</td>
            <td></td>
            <td>Simplify&nbsp; {s2} {=operations[op2]} {num4}={ans}</td>
        </tr>
      <tr>
            <td style="text-align: right;">{s3}={ans}</td>
            <td></td>
            <td>The correct signs were used.</td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text># n1 _o0_ (n2 _o1_ n3) _o2_ n4 
num1={1:10:1};
num2={1:10:1};
num3={2:6:1};
num4={1:10:1};


#0=add, 1=subt 2=mult  3=divide
op0={0,1};
op1={0,1,2,3};
op2={0,1};


</text>
</varsrandom>
<varsglobal><text><![CDATA[num2=num2*num3;
operations=["+","-","x","/"];
opWord=["add","subtract","multiply","divide"];
s1= pick(op1,num2+num3,num2-num3,num2*num3,num2/num3);
s2=pick(op0,num1+s1,num1-s1,num1*s1,num1/s1);
s3=pick(op2,s2+num4,s2-num4,s2*num4,s2/num4);
ans=s3;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[op0,op1,op2]</text>
 </answer>
 <vars2>
  <text>e1= pick(_1,num2+num3,num2-num3,num2*num3,num2/num3);
e2=pick(_0,num1+s1,num2-s1,num2*s1,num2/s1);
e3=pick(_2,s2+num4,s2-num4,s2*num4,s2/num4);
criteria=(e3==ans);</text>
 </vars2>
 <correctness>
  <text>criteria</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{num1} {_0:operations:MCE} ({num2} {_1:operations:MCE} {num3}) {_2:operations:MCE} {num4}= {ans}</p><p dir="ltr" style="text-align: left;"><br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L42 - Add// Subtract Fractions Different Denominator</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360110  -->
  <question type="formulas">
    <name>
      <text>L42- (duplicate) random Add-subt two fractions - different denominators</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{fraction0[0]}}{{fraction0[1]}}\) {operation} \(\frac{{fraction1[0]}}{{fraction1[1]}}\) =&nbsp;&nbsp;</p>
<table>
    <tbody>

        <tr>
            <td>
                <p dir="ltr" style="text-align: left;"><strong>Write the answer in simplest form.&nbsp;</strong><br>
                (Change an improper fraction to a mixed number and simplify the fraction.&nbsp;&nbsp;<br>
                Write zero for the whole number if the number is less than 1.&nbsp;&nbsp;<br>
               Write 0 as the numerator if the answer is a whole number.</p><p dir="ltr" style="text-align: left;"><strong>DO NOT put a zero in the denominator.</strong>&nbsp; Use the denominator from the question<span style="font-size: 0.9375rem;">)</span></p>
            </td>
            <td> {#A}</td></tr></tbody></table>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"></p>
<p dir="ltr"></p>
<h5>1.&nbsp; The least common multiple of {number1} and {number2} is&nbsp;<strong>{least}</strong></h5>
<div class="editor-indent" style="margin-left: 30px;">
    <p dir="ltr">The multiples of {number1} are: {multiples1}</p>
    <p dir="ltr">The multiples of {number2} are: {multiples2}</p>
</div>
<h5>2.&nbsp; &nbsp;Use the&nbsp;identity property of multiplication: A number multiplied by one equals the number.&nbsp; (7 • 1 = 7)</h5>
<div class="editor-indent" style="margin-left: 30px;">
    <table>
        <tbody>
            <tr>
                <td>
                    <p>\(\frac{{factor0}}{{factor0}}\) = 1</p>
                    <p>\( \frac{{num0}}{{den0}} \)&nbsp;•&nbsp;\(\frac{{factor0}}{{factor0}}\)&nbsp;=&nbsp;\( \frac{{ansNum0}}{{ansDen0}} \)</p>
              </td><td>&nbsp; &nbsp; &nbsp;</td>
                <td>
                    <p>\(\frac{{factor1}}{{factor1}}\) = 1</p>
                    <p>\( \frac{{num1}}{{den1}} \)&nbsp;•&nbsp;\(\frac{{factor1}}{{factor1}}\)&nbsp;=&nbsp;\( \frac{{ansNum1}}{{ansDen1}} \)</p>
                </td>
            </tr>
        </tbody>
    </table>
    <p></p>
</div>
<h5>3.&nbsp; Calculate the {answer}.</h5>
<div class="editor-indent" style="margin-left: 30px;">
    <p dir="ltr">Add the numerators:&nbsp; {ansNum0}+{ansNum1} = {impN}&nbsp;</p>
    <p dir="ltr">Keep the denominator:&nbsp; {least}</p>
    <p dir="ltr">The sum of the fractions is \(\frac{{impN}}{{least}}\)</p>
</div>
<p dir="ltr"></p><h5>4.&nbsp; Write the answer in simplest form.</h5><div><br>

</div><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr"><span style="font-size: 0.9375rem;">{FB1}</span></p><p dir="ltr">The fractional part is \(\frac{{ansN}}{{ansD}}\)</p><p dir="ltr">Determine the GCF of the numerator and denominator:</p><p dir="ltr">The factors of {ansN}: {=FB[ansN]}</p><p dir="ltr">The factors of {ansD}: {=FB[ansD]}</p><p dir="ltr">The GCF (greatest common factor) of {ansN} and {ansD} is {gcfND}.</p><table>
    <tbody>
        <tr>
            <td style="border-bottom: 1px solid black">{ansN}</td>
            <td rowspan="2">÷<br></td>
            <td style="border-bottom: 1px solid black">{gcfND}</td>
            <td rowspan="2">=</td>
            <td style="border-bottom: 1px solid black">{ansN}÷{gcfND}</td>
            <td rowspan="2">=</td>
            <td style="border-bottom: 1px solid black">{=ansN/gcfND}</td>
        </tr>
        <tr>
            <td>{ansD}</td>
            <td>{gcfND}</td>
            <td>{ansD}÷{gcfND}</td>
            <td>{=ansD/gcfND}</td>
        </tr>
    </tbody>
</table></div>





<br>{ansW}\(\frac{{ansN}}{{ansD}}\) =&nbsp; {ansW}\(\frac{{redN}}{{redD}}\)&nbsp;<br>
<p></p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>Tfraction0={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
Tfraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
numbers=shuffle([2:11]);
#random operation - 0 is subtract    and 1 is addition
randOp={0,1};</text>
</varsrandom>
<varsglobal><text><![CDATA[frac0=Tfraction0[0]/Tfraction0[1];
frac1=Tfraction1[0]/Tfraction1[1];
fraction0=pick(frac0 >frac1,Tfraction1,Tfraction0);
fraction1=pick(frac0 >frac1,Tfraction0,Tfraction1);
numbers=[fraction0[1],fraction1[1]];
number1=numbers[0];
number2=numbers[1];
operation=pick(randOp,"-","+");
answer=pick(randOp,"difference","sum");
least=lcm(number1,number2);

multiples1=pick(number1==least,join("",number1),join("","<b>",number1,"</b>"));
multiples2=pick(number2==least,join("",number2),join("","<b>",number2,"</b>"));
for(i:[2:11]){
multiples1=pick(number1*i == least,join("",multiples1,", ",number1*i),join("",multiples1,", <b>",number1*i,"</b>"));

multiples2=pick(number2*i == least,join("",multiples2,", ",number2*i),join("",multiples2,", <b>",number2*i,"</b>"));
}

num0=fraction0[0];
den0=fraction0[1];
ansNum0=num0*(least/den0);
ansDen0=least;
factor0=least/den0;

num1=fraction1[0];
den1=fraction1[1];
ansNum1=num1*(least/den1);
ansDen1=least;
factor1=least/den1;

ansN=pick(randOp,ansNum0-ansNum1,ansNum0+ansNum1);
impN=ansN;
ansD=least;
ansW=floor(ansN/ansD);
ansN=ansN-(ansW*ansD);

FB1=pick(impN>ansN,"The numerator is less than the denominator.  The whole number is 0.",join("","The numerator is larger than the denominator.<br> Determine how many times the denominator can divide into the numerator.<br>",impN,"/",least," = ",ansW," with ",ansN," left over. <br>Put the left over amount in the numerator and keep the same denominator."));
gcfND=gcd(ansN,ansD);
redN=ansN/gcfND;
redD=ansD/gcfND;
FB=["0","1","1 2","1 3","1 2 4","1 5","1 2 3 6","1 7","1 2 4 8","1 3 9","1 2 5 10","1 11","1 2 3 4 6 12","1 13","1 2 7 14","1 3 5 15","1 2 4 8 16","1 17","1 2 3 6 9 18","1 19","1 2 4 5 10 20","1 3 7 21","1 2 11 22","1 23","1 2 3 4 6 8 12 24","1 5 25","1 2 13 26","1 3 9 27","1 2 4 7 14 28","1 29","1 2 3 5 6 10 15 30","1 31","1 2 4 8 16 32","1 3 11 33","1 2 17 34","1 5 7 35","1 2 3 4 6 9 12 18 36","1 37","1 2 19 38","1 3 13 39","1 2 4 5 8 10 20 40","1 41","1 2 3 6 7 14 21 42","1 43","1 2 4 11 22 44","1 3 5 9 15 45","1 2 23 46","1 47","1 2 3 4 6 8 12 16 24 48","1 7 49","1 2 5 10 25 50","1 3 17 51","1 2 4 13 26 52","1 53","1 2 3 6 9 18 27 54","1 5 11 55","1 2 4 7 8 14 28 56","1 3 19 57","1 2 29 58","1 59","1 2 3 4 5 6 10 12 15 20 30 60","1 61","1 2 31 62","1 3 7 9 21 63","1 2 4 8 16 32 64","1 5 13 65","1 2 3 6 11 22 33 66","1 67","1 2 4 17 34 68","1 3 23 69","1 2 5 7 10 14 35 70","1 71","1 2 3 4 6 8 9 12 18 24 36 72","1 73","1 2 37 74","1 3 5 15 25 75","1 2 4 19 38 76","1 7 11 77","1 2 3 6 13 26 39 78","1 79","1 2 4 5 8 10 16 20 40 80","1 3 9 27 81","1 2 41 82","1 83","1 2 3 4 6 7 12 14 21 28 42 84","1 5 17 85","1 2 43 86","1 3 29 87","1 2 4 8 11 22 44 88","1 89","1 2 3 5 6 9 10 15 18 30 45 90","1 7 13 91","1 2 4 23 46 92","1 3 31 93","1 2 47 94","1 5 19 95","1 2 3 4 6 8 12 16 24 32 48 96","1 97","1 2 7 14 49 98","1 3 9 11 33 99","1 2 4 5 10 20 25 50 100"];]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text>#A</text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansW,ansN,ansD]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((gcd(_1,_2)==1) *.5) + ((_1/_2 == ansN/ansD)*.4) + ((ansW == _0)*.1)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td rowspan="2" style="text-align: center;">{_0}

            </td>
            <td style="text-align: center; border-bottom: 1px solid black;">{_1}</td>
        </tr>
        <tr>
            <td style="text-align: center;">{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360108  -->
  <question type="formulas">
    <name>
      <text>L42- LCM (two fractions) (copy)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">What is the LCM of the denominators of the fractions&nbsp; \(\frac{{num1}}{{number1}}\) and \(\frac{{num2}}{{number2}}\)?</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>fraction0={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};</text>
</varsrandom>
<varsglobal><text><![CDATA[num1=fraction0[0];
number1=fraction0[1];
num2=fraction1[0];
number2=fraction1[1];
least=lcm(number1,number2);

multiples1=pick(number1==least,join("",number1),join("","<b>",number1,"</b>"));
multiples2=pick(number2==least,join("",number2),join("","<b>",number2,"</b>"));
for(i:[2:11]){
multiples1=pick(number1*i == least,join("",multiples1,", ",number1*i),join("",multiples1,", <b>",number1*i,"</b>"));

multiples2=pick(number2*i == least,join("",multiples2,", ",number2*i),join("",multiples2,", <b>",number2*i,"</b>"));

}]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>least</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">The least common multiple of {number1} and {number2} is <strong>{least}</strong></p><p dir="ltr" style="text-align: left;">The multiples of {number1} are: {multiples1}</p><p dir="ltr" style="text-align: left;">The multiples of {number2} are: {multiples2}</p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360109  -->
  <question type="formulas">
    <name>
      <text>L42- random Add-subt two fractions - different denominators</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{fraction0[0]}}{{fraction0[1]}}\) {operation} \(\frac{{fraction1[0]}}{{fraction1[1]}}\) =&nbsp;&nbsp;</p>
<table>
    <tbody>

        <tr>
            <td>
                <p dir="ltr" style="text-align: left;"><strong>Write the answer in simplest form.&nbsp;</strong><br>
                (Change an improper fraction to a mixed number and simplify the fraction.&nbsp;&nbsp;<br>
                Write zero for the whole number if the number is less than 1.&nbsp;&nbsp;<br>
               Write 0 as the numerator if the answer is a whole number.</p><p dir="ltr" style="text-align: left;"><strong>DO NOT put a zero in the denominator.</strong>&nbsp; Use the denominator from the question<span style="font-size: 0.9375rem;">)</span></p>
            </td>
            <td> {#A}</td></tr></tbody></table>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"></p>
<p dir="ltr"></p>
<h5>1.&nbsp; The least common multiple of {number1} and {number2} is&nbsp;<strong>{least}</strong></h5>
<div class="editor-indent" style="margin-left: 30px;">
    <p dir="ltr">The multiples of {number1} are: {multiples1}</p>
    <p dir="ltr">The multiples of {number2} are: {multiples2}</p>
</div>
<h5>2.&nbsp; &nbsp;Use the&nbsp;identity property of multiplication: A number multiplied by one equals the number.&nbsp; (7 • 1 = 7)</h5>
<div class="editor-indent" style="margin-left: 30px;">
    <table>
        <tbody>
            <tr>
                <td>
                    <p>\(\frac{{factor0}}{{factor0}}\) = 1</p>
                    <p>\( \frac{{num0}}{{den0}} \)&nbsp;•&nbsp;\(\frac{{factor0}}{{factor0}}\)&nbsp;=&nbsp;\( \frac{{ansNum0}}{{ansDen0}} \)</p>
              </td><td>&nbsp; &nbsp; &nbsp;</td>
                <td>
                    <p>\(\frac{{factor1}}{{factor1}}\) = 1</p>
                    <p>\( \frac{{num1}}{{den1}} \)&nbsp;•&nbsp;\(\frac{{factor1}}{{factor1}}\)&nbsp;=&nbsp;\( \frac{{ansNum1}}{{ansDen1}} \)</p>
                </td>
            </tr>
        </tbody>
    </table>
    <p></p>
</div>
<h5>3.&nbsp; Calculate the {answer}.</h5>
<div class="editor-indent" style="margin-left: 30px;">
    <p dir="ltr">Add the numerators:&nbsp; {ansNum0}+{ansNum1} = {impN}&nbsp;</p>
    <p dir="ltr">Keep the denominator:&nbsp; {least}</p>
    <p dir="ltr">The sum of the fractions is \(\frac{{impN}}{{least}}\)</p>
</div>
<p dir="ltr"></p><h5>4.&nbsp; Write the answer in simplest form.</h5><div><br>

</div><div class="editor-indent" style="margin-left: 30px;"><p dir="ltr"><span style="font-size: 0.9375rem;">{FB1}</span></p><p dir="ltr">The fractional part is \(\frac{{ansN}}{{ansD}}\)</p><p dir="ltr">Determine the GCF of the numerator and denominator:</p><p dir="ltr">The factors of {ansN}: {=FB[ansN]}</p><p dir="ltr">The factors of {ansD}: {=FB[ansD]}</p><p dir="ltr">The GCF (greatest common factor) of {ansN} and {ansD} is {gcfND}.</p><table>
    <tbody>
        <tr>
            <td style="border-bottom: 1px solid black">{ansN}</td>
            <td rowspan="2">÷<br></td>
            <td style="border-bottom: 1px solid black">{gcfND}</td>
            <td rowspan="2">=</td>
            <td style="border-bottom: 1px solid black">{ansN}÷{gcfND}</td>
            <td rowspan="2">=</td>
            <td style="border-bottom: 1px solid black">{=ansN/gcfND}</td>
        </tr>
        <tr>
            <td>{ansD}</td>
            <td>{gcfND}</td>
            <td>{ansD}÷{gcfND}</td>
            <td>{=ansD/gcfND}</td>
        </tr>
    </tbody>
</table></div>





<br>{ansW}\(\frac{{ansN}}{{ansD}}\) =&nbsp; {ansW}\(\frac{{redN}}{{redD}}\)&nbsp;<br>
<p></p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>Tfraction0={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
Tfraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
numbers=shuffle([2:11]);
#random operation - 0 is subtract    and 1 is addition
randOp={0,1};</text>
</varsrandom>
<varsglobal><text><![CDATA[frac0=Tfraction0[0]/Tfraction0[1];
frac1=Tfraction1[0]/Tfraction1[1];
fraction0=pick(frac0 >frac1,Tfraction1,Tfraction0);
fraction1=pick(frac0 >frac1,Tfraction0,Tfraction1);
numbers=[fraction0[1],fraction1[1]];
number1=numbers[0];
number2=numbers[1];
operation=pick(randOp,"-","+");
answer=pick(randOp,"difference","sum");
least=lcm(number1,number2);

multiples1=pick(number1==least,join("",number1),join("","<b>",number1,"</b>"));
multiples2=pick(number2==least,join("",number2),join("","<b>",number2,"</b>"));
for(i:[2:11]){
multiples1=pick(number1*i == least,join("",multiples1,", ",number1*i),join("",multiples1,", <b>",number1*i,"</b>"));

multiples2=pick(number2*i == least,join("",multiples2,", ",number2*i),join("",multiples2,", <b>",number2*i,"</b>"));
}

num0=fraction0[0];
den0=fraction0[1];
ansNum0=num0*(least/den0);
ansDen0=least;
factor0=least/den0;

num1=fraction1[0];
den1=fraction1[1];
ansNum1=num1*(least/den1);
ansDen1=least;
factor1=least/den1;

ansN=pick(randOp,ansNum0-ansNum1,ansNum0+ansNum1);
impN=ansN;
ansD=least;
ansW=floor(ansN/ansD);
ansN=ansN-(ansW*ansD);

FB1=pick(impN>ansN,"The numerator is less than the denominator.  The whole number is 0.",join("","The numerator is larger than the denominator.<br> Determine how many times the denominator can divide into the numerator.<br>",impN,"/",least," = ",ansW," with ",ansN," left over. <br>Put the left over amount in the numerator and keep the same denominator."));
gcfND=gcd(ansN,ansD);
redN=ansN/gcfND;
redD=ansD/gcfND;
FB=["0","1","1 2","1 3","1 2 4","1 5","1 2 3 6","1 7","1 2 4 8","1 3 9","1 2 5 10","1 11","1 2 3 4 6 12","1 13","1 2 7 14","1 3 5 15","1 2 4 8 16","1 17","1 2 3 6 9 18","1 19","1 2 4 5 10 20","1 3 7 21","1 2 11 22","1 23","1 2 3 4 6 8 12 24","1 5 25","1 2 13 26","1 3 9 27","1 2 4 7 14 28","1 29","1 2 3 5 6 10 15 30","1 31","1 2 4 8 16 32","1 3 11 33","1 2 17 34","1 5 7 35","1 2 3 4 6 9 12 18 36","1 37","1 2 19 38","1 3 13 39","1 2 4 5 8 10 20 40","1 41","1 2 3 6 7 14 21 42","1 43","1 2 4 11 22 44","1 3 5 9 15 45","1 2 23 46","1 47","1 2 3 4 6 8 12 16 24 48","1 7 49","1 2 5 10 25 50","1 3 17 51","1 2 4 13 26 52","1 53","1 2 3 6 9 18 27 54","1 5 11 55","1 2 4 7 8 14 28 56","1 3 19 57","1 2 29 58","1 59","1 2 3 4 5 6 10 12 15 20 30 60","1 61","1 2 31 62","1 3 7 9 21 63","1 2 4 8 16 32 64","1 5 13 65","1 2 3 6 11 22 33 66","1 67","1 2 4 17 34 68","1 3 23 69","1 2 5 7 10 14 35 70","1 71","1 2 3 4 6 8 9 12 18 24 36 72","1 73","1 2 37 74","1 3 5 15 25 75","1 2 4 19 38 76","1 7 11 77","1 2 3 6 13 26 39 78","1 79","1 2 4 5 8 10 16 20 40 80","1 3 9 27 81","1 2 41 82","1 83","1 2 3 4 6 7 12 14 21 28 42 84","1 5 17 85","1 2 43 86","1 3 29 87","1 2 4 8 11 22 44 88","1 89","1 2 3 5 6 9 10 15 18 30 45 90","1 7 13 91","1 2 4 23 46 92","1 3 31 93","1 2 47 94","1 5 19 95","1 2 3 4 6 8 12 16 24 32 48 96","1 97","1 2 7 14 49 98","1 3 9 11 33 99","1 2 4 5 10 20 25 50 100"];]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text>#A</text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansW,ansN,ansD]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((gcd(_1,_2)==1) *.5) + ((_1/_2 == ansN/ansD)*.4) + ((ansW == _0)*.1)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td rowspan="2" style="text-align: center;">{_0}

            </td>
            <td style="text-align: center; border-bottom: 1px solid black;">{_1}</td>
        </tr>
        <tr>
            <td style="text-align: center;">{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L44- Conversions Decimals to Fractions</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360121  -->
  <question type="formulas">
    <name>
      <text>L44- hundredths as a fraction in reduced form</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Write {whole}.{tenths}{hundredths} as a fraction in simplest form.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The whole number is {whole}</p><p dir="ltr" style="text-align: left;">The decimal part is read &nbsp;{=wordA[tenths]}-{=word[hundredths]} hundredths.&nbsp; &nbsp;</p><p dir="ltr" style="text-align: left;">Write the decimal part as a fraction \(\frac{{decNum}}{100}\).</p><p dir="ltr" style="text-align: left;">Simplify the fraction by dividing the numerator and denominator by the GCF:</p><p dir="ltr" style="text-align: left;">&nbsp;\(\frac{{tenths}{hundredths}÷{GCF}}{{place}÷{GCF}}\) = \(\frac{{num}}{{den}}\)</p><p dir="ltr" style="text-align: left;"><br></p><p dir="ltr" style="text-align: left;">The answer is {whole}.{tenths}{hundredths} = \(\frac{{num}}{{den}}\)</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>whole={1:11:1};
tenths={2:10:1};
hundredths={1:10:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[whole=0;
place=100;
decNum=(tenths*10) + (hundredths);
GCF=gcd(place,decNum);
num=decNum/GCF;
den=place/GCF;
wordA=["","","twenty","thirty","forty","fifty","sixty","seventy","eighty","ninety"];
word=["zero","one","two","three","four","five","six","seven","eight","nine"];]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[whole,num,den]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[((_0==whole)*.25) + (((_1==num) && (_2==den))*.75)+(((_1/_2) == (num/den))*.25)]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
          <td rowspan="2">{whole}.{tenths}{hundredths} ={_0}</td>
            <td style="border-bottom:1px solid black">{_1}</td>
        </tr>
        <tr>
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360120  -->
  <question type="formulas">
    <name>
      <text>L44- tenths as a fraction in reduced form</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Write {whole}.{tenths} as a fraction in simplest form.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The whole number is {whole}</p><p dir="ltr" style="text-align: left;">The decimal part is read {=word[tenths]} tenths.&nbsp; &nbsp;</p><p dir="ltr" style="text-align: left;">Write the decimal part as a fraction \(\frac{{tenths}}{10}\).</p><p dir="ltr" style="text-align: left;">Simplify the fraction by dividing the numerator and denominator by the GCF:</p><p dir="ltr" style="text-align: left;">&nbsp;\(\frac{{tenths}÷{GCF}}{10÷{GCF}}\) = \(\frac{{num}}{{den}}\)</p><p dir="ltr" style="text-align: left;"><br></p><p dir="ltr" style="text-align: left;">The answer is {whole}.{tenths} = \(\frac{{num}}{{den}}\)</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>whole={1:11:1};
tenths={1:10:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[whole=0;
GCF=gcd(10,tenths);
num=tenths/GCF;
den=10/GCF;
word=["zero","one","two","three","four","five","six","seven","eight","nine"];]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[whole,num,den]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[((_0==whole)*.25) + (((_1==num) && (_2==den))*.75)+(((_1/_2) == (num/den))*.25)]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
          <td rowspan="2">{whole}.{tenths} ={_0}</td>
            <td style="border-bottom:1px solid black">{_1}</td>
        </tr>
        <tr>
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360122  -->
  <question type="formulas">
    <name>
      <text>L44- whole.hundredths as a fraction in reduced form</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Write {whole}.{tenths}{hundredths} as a fraction in simplest form.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The whole number is {whole}</p><p dir="ltr" style="text-align: left;">The decimal part is read &nbsp;{=wordA[tenths]}-{=word[hundredths]} hundredths.&nbsp; &nbsp;</p><p dir="ltr" style="text-align: left;">Write the decimal part as a fraction \(\frac{{decNum}}{100}\).</p><p dir="ltr" style="text-align: left;">Simplify the fraction by dividing the numerator and denominator by the GCF:</p><p dir="ltr" style="text-align: left;">&nbsp;\(\frac{{tenths}{hundredths}÷{GCF}}{{place}÷{GCF}}\) = \(\frac{{num}}{{den}}\)</p><p dir="ltr" style="text-align: left;"><br></p><p dir="ltr" style="text-align: left;">The answer is {whole}.{tenths}{hundredths} = \(\frac{{num}}{{den}}\)</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>whole={1:11:1};
tenths={2:10:1};
hundredths={1:10:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[place=100;
decNum=(tenths*10) + (hundredths);
GCF=gcd(place,decNum);
num=decNum/GCF;
den=place/GCF;
wordA=["","","twenty","thirty","forty","fifty","sixty","seventy","eighty","ninety"];
word=["zero","one","two","three","four","five","six","seven","eight","nine"];]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[whole,num,den]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[((_0==whole)*.25) + (((_1==num) && (_2==den))*.75)+(((_1/_2) == (num/den))*.25)]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
          <td rowspan="2">{whole}.{tenths}{hundredths} ={_0}</td>
            <td style="border-bottom:1px solid black">{_1}</td>
        </tr>
        <tr>
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360123  -->
  <question type="formulas">
    <name>
      <text>L44- whole.thousandths as a fraction in reduced form</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Write {whole}.{tenths}{hundredths}{thousandths} as a fraction in simplest form.</p>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 60;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The whole number is {whole}</p><p dir="ltr" style="text-align: left;">The decimal part is read &nbsp;{=wordA[tenths]} hundred {=word[hundredths]}-{=word[thousandths]} thousandths.&nbsp; &nbsp;</p><p dir="ltr" style="text-align: left;">Write the decimal part as a fraction \(\frac{{decNum}}{1000}\).</p><p dir="ltr" style="text-align: left;">Simplify the fraction by dividing the numerator and denominator by the GCF:</p><p dir="ltr" style="text-align: left;">&nbsp;\(\frac{{tenths}{hundredths}{thousandths}÷{GCF}}{{place}÷{GCF}}\) = \(\frac{{num}}{{den}}\)</p><p dir="ltr" style="text-align: left;"><br></p><p dir="ltr" style="text-align: left;">The answer is {whole}.{tenths}{hundredths}{thousandths} = \(\frac{{num}}{{den}}\)</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>whole={1:11:1};
tenths={2:10:1};
hundredths={1:10:1};
thousandths={1:10:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[place=1000;
decNum=(tenths*100) + (hundredths*10)+(thousandths);
GCF=gcd(place,decNum);
num=decNum/GCF;
den=place/GCF;
wordA=["","","twenty","thirty","forty","fifty","sixty","seventy","eighty","ninety"];
word=["zero","one","two","three","four","five","six","seven","eight","nine"];]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>0.75</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[whole,decNum,place]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[1.&nbsp; Enter the Mixed Number Before reducing:<br><table>
    <tbody>
        <tr>
          <td rowspan="2">{whole}.{tenths}{hundredths}{thousandths} ={_0}</td>
            <td style="border-bottom:1px solid black">{_1}</td>
        </tr>
        <tr>
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>0.25</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[whole,num,den]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[((_0==whole)*.25) + (((_1==num) && (_2==den))*.75)+(((_1/_2) == (num/den))*.25)]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[2.&nbsp; Enter the mixed number in simplest form.<br>
<table>
    <tbody>
        <tr>
            <td rowspan="2">{whole}.{tenths}{hundredths}{thousandths} ={_0}</td>
            <td style="border-bottom:1px solid black">{_1}</td>
        </tr>
        <tr>
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360119  -->
  <question type="formulas">
    <name>
      <text>L44- write a number to tenths as a fraction in reduced form</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Write {whole}.{tenths} as a fraction in simplest form.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">The whole number is {whole}</p><p dir="ltr" style="text-align: left;">The decimal part is read {=word[tenths]} tenths.&nbsp; &nbsp;</p><p dir="ltr" style="text-align: left;">Write the decimal part as a fraction \(\frac{{tenths}}{10}\).</p><p dir="ltr" style="text-align: left;">Simplify the fraction by dividing the numerator and denominator by the GCF:</p><p dir="ltr" style="text-align: left;">&nbsp;\(\frac{{tenths}÷{GCF}}{10÷{GCF}}\) = \(\frac{{num}}{{den}}\)</p><p dir="ltr" style="text-align: left;"><br></p><p dir="ltr" style="text-align: left;">The answer is {whole}.{tenths} = {whole}\(\frac{{num}}{{den}}\)</p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>whole={1:11:1};
tenths={1:10:1};</text>
</varsrandom>
<varsglobal><text><![CDATA[GCF=gcd(10,tenths);
num=tenths/GCF;
den=10/GCF;
word=["zero","one","two","three","four","five","six","seven","eight","nine"];]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[whole,num,den]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[((_0==whole)*.25) + (((_1==num) && (_2==den))*.75)+(((_1/_2) == (num/den))*.25)]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
          <td rowspan="2">{whole}.{tenths} ={_0}</td>
            <td style="border-bottom:1px solid black">{_1}</td>
        </tr>
        <tr>
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L46 - Graphing Lines on the coordinate Plane</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360134  -->
  <question type="formulas">
    <name>
      <text>L46 - graph equation</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<table>
    <tbody>
      <tr><td colspan="2">Graph the equation \(y={s} \)</td></tr>
        <tr>
            <td>{#B}</td><td>{#A}</td></tr></tbody></table>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>n={-3,-2,-1,3};
m={-3:0,1:4};
bn={1:99999};
xVals=shuffle([-3,-2,-1,0,1,2,3]);</text>
</varsrandom>
<varsglobal><text><![CDATA[MB=join("","MyBoxH1",bn);
s=poly("x",[m,n]);
mPn=m+n;
xVal=[xVals[0],xVals[1],xVals[2],xVals[3]];
xVal=sort(xVal);
x1=xVal[0];
y1=m*x1+n;
p1=join("",m,"(",x1,")",pick(n<0,join(""," + ",n),join("",n)));
p1S1=join("",m*x1,pick(n<0,join(""," + ",n),join("",n)));
p1S1FB=join("","Multiply ",m," and ",x1);
p1S2=join("",m*x1+n);
p1S2FB=join("",p1S1," = ",p1S2);

x2=xVal[1];
y2=m*x2+n;
p2=join("",m,"(",x2,")",pick(n<0,join(""," + ",n),join("",n)));
p2S1=join("",m*x2,pick(n<0,join(""," + ",n),join("",n)));
p2S1FB=join("","Multiply ",m," and ",x2);
p2S2=join("",m*x2+n);
p2S2FB=join("",p2S1," = ",p2S2);

x3=xVal[2];
y3=m*x3+n;
p3=join("",m,"(",x3,")",pick(n<0,join(""," + ",n),join("",n)));
p3S1=join("",m*x3,pick(n<0,join(""," + ",n),join("",n)));
p3S1FB=join("","Multiply ",m," and ",x3);
p3S2=join("",m*x3+n);
p3S2FB=join("",p3S1," = ",p3S2);

x4=xVal[3];
y4=m*x4+n;
p4=join("",m,"(",x4,")",pick(n<0,join(""," + ",n),join("",n)));
p4S1=join("",m*x4,pick(n<0,join(""," + ",n),join("",n)));
p4S1FB=join("","Multiply ",m," and ",x4);
p4S2=join("",m*x4+n);
p4S2FB=join("",p4S1," = ",p4S2);]]></text>
</varsglobal>
<answernumbering><text>none</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text>#B</text>
 </placeholder>
 <answermark>
  <text>0.5</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>4</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[y1,y2,y3,y4]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((_0==y1)*.25)+((_1==y2)*.25)+((_2==y3)*.25)+((_3==y4)*.25)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><strong>x</strong></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><strong>{s}</strong></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><strong>y</strong></span></span></h5>
            </td>
        </tr>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{x1}</strong></span></h5></td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><span><strong>{p1}</strong></span></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{_0}</strong></span></h5></td>
        </tr>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{x2}</strong></span></h5></td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><h5><span><span><span><strong>{p2}</strong></span></span></span></h5></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{_1}</strong></span></h5></td>
        </tr>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{x3}</strong></span></h5></td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><h5><span><span><span><strong>{p3}</strong></span></span></span></h5></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{_2}</strong></span></h5></td>
        </tr>
        <tr>
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{x4}</strong></span></h5></td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><h5><span><span><span><strong>{p4}</strong></span></span></span></h5></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{_3}</strong></span></h5></td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<table>
    <tbody>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><strong>x</strong></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><strong>{s}</strong></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><strong>y</strong></span></span></h5>
            </td>
            <td style="text-align: center;">(x,y)</td>
        </tr>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{x1}</strong></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">

                <table>
                    <tbody>
                        <tr>
                            <td>{p1}</td>
                            <td> </td>
                            <td>Given</td>
                        </tr>
                        <tr>
                            <td>{p1S1}</td>
                            <td> </td>
                            <td>{p1S1FB}</td>
                        </tr>
                        <tr>
                            <td>{p1S2}</td>
                            <td> </td>
                            <td>{p1S2FB}</td>
                        </tr>
                    </tbody>
                </table>

            </td>


            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{y1}</strong></span></h5>
            </td>
            <td style="text-align: center;">&nbsp; &nbsp; ({x1},{y1})</td>
        </tr>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{x2}</strong></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <table>
                    <tbody>
                        <tr>
                            <td>{p2}</td>
                            <td> </td>
                            <td>Given</td>
                        </tr>
                        <tr>
                            <td>{p2S1}</td>
                            <td> </td>
                            <td>{p2S1FB}</td>
                        </tr>
                        <tr>
                            <td>{p2S2}</td>
                            <td> </td>
                            <td>{p2S2FB}</td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{y2}</strong></span></h5>
            </td><td style="text-align: center;">({x2},{y2})</td>
        </tr>
        <tr>
            
        </tr>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{x3}</strong></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <table>
                    <tbody>
                        <tr>
                            <td>{p3}</td>
                            <td> </td>
                            <td>Given</td>
                        </tr>
                        <tr>
                            <td>{p3S1}</td>
                            <td> </td>
                            <td>{p3S1FB}</td>
                        </tr>
                        <tr>
                            <td>{p3S2}</td>
                            <td> </td>
                            <td>{p3S2FB}</td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{y3}</strong></span></h5>
            </td>
            <td style="text-align: center;">({x3},{y3})</td>
        </tr>
        <tr>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{x4}</strong></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <table>
                    <tbody>
                        <tr>
                            <td>{p4}</td>
                            <td> </td>
                            <td>Given</td>
                        </tr>
                        <tr>
                            <td>{p4S1}</td>
                            <td> </td>
                            <td>{p4S1FB}</td>
                        </tr>
                        <tr>
                            <td>{p4S2}</td>
                            <td> </td>
                            <td>{p4S2FB}</td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{y4}</strong></span></h5>
            </td>
            <td style="text-align: center;">({x4},{y4})</td>
        </tr>
    </tbody>
</table>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text>#A</text>
 </placeholder>
 <answermark>
  <text>0.5</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>4</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[0,n,1,m+n]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((_1==n+m*_0)*.5) + ((_3==n+m*_2)*.5)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<script type="text/javascript" src="https://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
<script type="text/javascript" src="https://code.jquery.com/jquery-3.1.0.min.js"></script>
<script type="text/javascript" src="https://moodle.itemspro.eu/moodle/aaimg/ajsx/jsxquestion.js">
</script>

<div id="{MB}" class="jxgbox" style="width:350px; height:350px;margin-left:1px; ;"></div>
<script type="text/javascript">
    $(function() {
        var jsxCode = function(main) {
            main.brd = JXG.JSXGraph.initBoard(main.elm.id, {
                boundingbox: [-11, 11, 11, -11],
                showNavigation: false,
                showCopyright: false,
                grid: true,
                axis: true,
                zoom: {
                    enabled: false,
                    wheel: false
                },
                pan: {
                    enabled: false,
                    needTwoFingers: false
                }
            });
            var brd = main.brd;
            brd.options.point.showInfobox = false;

            var t0x = main.get(0);
            if (t0x === null) {
                t0x = 4;
            }
            var t0y = main.get(1);
            if (t0y === null) {
                t0y = 0;
            }
            var t1x = main.get(2);
            if (t1x === null) {
                t1x = -4;
            }
            var t1y = main.get(3);
            if (t1y === null) {
                t1y = 0;
            }

            var p0 = brd.create('point', [t0x, t0y], {
                snapToGrid: true,
                color: 'blue',
                name: '',
                fixed: main.solved
            });
            var p1 = brd.create('point', [t1x, t1y], {
                snapToGrid: true,
                color: 'blue',
                name: '',
                fixed: main.solved
            });
            brd.create('line', [p0, p1], {});
            brd.create('line', [[0, {n}],[1, {m} + {n}]
            ], {
                dash: 1,
                color: 'red',
                visible: main.solved
            });

            var check = function() {
                main.set(0, p0.X());
                main.set(1, p0.Y());
                main.set(2, p1.X());
                main.set(3, p1.Y());
            }
            check();
            brd.on('update', function() {
                check();
            });
        };
        new JSXQuestion("{MB}", jsxCode, false);
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"><span class="" style="color: rgb(0, 61, 245);"><strong>A line can be made from two points, then graph a third point to check the answer.&nbsp;</strong></span></p>
<p dir="ltr" style="text-align: left;"><strong>The first point can be at x= {x2}.</strong><br>When x= {x2} y={y2}<br>The first point can be&nbsp;({x2},{y2})<br>
</p>
<p dir="ltr" style="text-align: left;"><br><strong> The second point can be at x= {x3}</strong><br>When x= {x3} y={y3}<br>The second point can be&nbsp;({x3},{y3})</p><p dir="ltr" style="text-align: left;"><span style="font-size: 0.9375rem; color: rgb(0, 61, 245);" class=""><strong>Use one of the other two point to check the answer.</strong></span><br></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360133  -->
  <question type="formulas">
    <name>
      <text>L46 - Graph Equation Given'Formula'</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td colspan="2">Graph the equation \(y={s} \)</td>
        </tr>
        <tr>
            <td>{#B}</td><td>{#A}</td></tr></tbody></table>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>n={-2,-1,3};
m={-3:0,1:4};
bn={1:99999};
xVals=shuffle([-5,-4,-3,-2,-1,0,1,2,3,4,5]);</text>
</varsrandom>
<varsglobal><text><![CDATA[MB=join("","MyBoxH1",bn);
s=poly("x",[m,n]);
mPn=m+n;
xVal=[xVals[0],xVals[1],xVals[2],xVals[3]];
xVal=sort(xVal);
x1=xVal[0];
y1=m*x1+n;
p1=join("",m,"(",x1,")",pick(n<0,join(""," + ",n),join("",n)));
p1S1=join("",m*x1,pick(n<0,join(""," + ",n),join("",n)));
p1S1FB=join("","Multiply ",m," and ",x1);
p1S2=join("",m*x1+n);
p1S2FB=join("",p1S1," = ",p1S2);

x2=xVal[1];
y2=m*x2+n;
p2=join("",m,"(",x2,")",pick(n<0,join(""," + ",n),join("",n)));
p2S1=join("",m*x2,pick(n<0,join(""," + ",n),join("",n)));
p2S1FB=join("","Multiply ",m," and ",x2);
p2S2=join("",m*x2+n);
p2S2FB=join("",p2S1," = ",p2S2);

x3=xVal[2];
y3=m*x3+n;
p3=join("",m,"(",x3,")",pick(n<0,join(""," + ",n),join("",n)));
p3S1=join("",m*x3,pick(n<0,join(""," + ",n),join("",n)));
p3S1FB=join("","Multiply ",m," and ",x3);
p3S2=join("",m*x3+n);
p3S2FB=join("",p3S1," = ",p3S2);

x4=xVal[3];
y4=m*x4+n;
p4=join("",m,"(",x4,")",pick(n<0,join(""," + ",n),join("",n)));
p4S1=join("",m*x4,pick(n<0,join(""," + ",n),join("",n)));
p4S1FB=join("","Multiply ",m," and ",x4);
p4S2=join("",m*x4+n);
p4S2FB=join("",p4S1," = ",p4S2);]]></text>
</varsglobal>
<answernumbering><text>none</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text>#B</text>
 </placeholder>
 <answermark>
  <text>0.5</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>4</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[y1,y2,y3,y4]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((_0==y1)*.25)+((_1==y2)*.25)+((_2==y3)*.25)+((_3==y4)*.25)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><strong>x</strong></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><strong>{s}</strong></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><strong>y</strong></span></span></h5>
            </td>
        </tr>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{x1}</strong></span></h5></td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><span><strong>{p1}</strong></span></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{_0}</strong></span></h5></td>
        </tr>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{x2}</strong></span></h5></td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><h5><span><span><span><strong>{p2}</strong></span></span></span></h5></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{_1}</strong></span></h5></td>
        </tr>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{x3}</strong></span></h5></td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><h5><span><span><span><strong>{p3}</strong></span></span></span></h5></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{_2}</strong></span></h5></td>
        </tr>
        <tr>
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{x4}</strong></span></h5></td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><h5><span><span><span><strong>{p4}</strong></span></span></span></h5></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;"><h5><span><strong>{_3}</strong></span></h5></td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<table>
    <tbody>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><strong>x</strong></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><strong>{s}</strong></span></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><span><strong>y</strong></span></span></h5>
            </td>
            <td style="text-align: center;">(x,y)</td>
        </tr>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{x1}</strong></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">

                <table>
                    <tbody>
                        <tr>
                            <td>{p1}</td>
                            <td> </td>
                            <td>Given</td>
                        </tr>
                        <tr>
                            <td>{p1S1}</td>
                            <td> </td>
                            <td>{p1S1FB}</td>
                        </tr>
                        <tr>
                            <td>{p1S2}</td>
                            <td> </td>
                            <td>{p1S2FB}</td>
                        </tr>
                    </tbody>
                </table>

            </td>


            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{y1}</strong></span></h5>
            </td>
            <td style="text-align: center;">&nbsp; &nbsp; ({x1},{y1})</td>
        </tr>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{x2}</strong></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <table>
                    <tbody>
                        <tr>
                            <td>{p2}</td>
                            <td> </td>
                            <td>Given</td>
                        </tr>
                        <tr>
                            <td>{p2S1}</td>
                            <td> </td>
                            <td>{p2S1FB}</td>
                        </tr>
                        <tr>
                            <td>{p2S2}</td>
                            <td> </td>
                            <td>{p2S2FB}</td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{y2}</strong></span></h5>
            </td><td style="text-align: center;">({x2},{y2})</td>
        </tr>
        <tr>
            
        </tr>
        <tr style="border-bottom:1px solid black">
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{x3}</strong></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <table>
                    <tbody>
                        <tr>
                            <td>{p3}</td>
                            <td> </td>
                            <td>Given</td>
                        </tr>
                        <tr>
                            <td>{p3S1}</td>
                            <td> </td>
                            <td>{p3S1FB}</td>
                        </tr>
                        <tr>
                            <td>{p3S2}</td>
                            <td> </td>
                            <td>{p3S2FB}</td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{y3}</strong></span></h5>
            </td>
            <td style="text-align: center;">({x3},{y3})</td>
        </tr>
        <tr>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{x4}</strong></span></h5>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <table>
                    <tbody>
                        <tr>
                            <td>{p4}</td>
                            <td> </td>
                            <td>Given</td>
                        </tr>
                        <tr>
                            <td>{p4S1}</td>
                            <td> </td>
                            <td>{p4S1FB}</td>
                        </tr>
                        <tr>
                            <td>{p4S2}</td>
                            <td> </td>
                            <td>{p4S2FB}</td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td style="text-align: center; border-right: 1px solid black;">
                <h5><span><strong>{y4}</strong></span></h5>
            </td>
            <td style="text-align: center;">({x4},{y4})</td>
        </tr>
    </tbody>
</table>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text>#A</text>
 </placeholder>
 <answermark>
  <text>0.5</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>4</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[0,n,1,m+n]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((_1==n+m*_0)*.5) + ((_3==n+m*_2)*.5)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<script type="text/javascript" src="https://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
<script type="text/javascript" src="https://code.jquery.com/jquery-3.1.0.min.js"></script>
<script type="text/javascript" src="https://moodle.itemspro.eu/moodle/aaimg/ajsx/jsxquestion.js">
</script>

<div id="{MB}" class="jxgbox" style="width:350px; height:350px;margin-left:1px; ;"></div>
<script type="text/javascript">
    $(function() {
        var jsxCode = function(main) {
            main.brd = JXG.JSXGraph.initBoard(main.elm.id, {
                boundingbox: [-11, 11, 11, -11],
                showNavigation: false,
                showCopyright: false,
                grid: true,
                axis: true,
                zoom: {
                    enabled: false,
                    wheel: false
                },
                pan: {
                    enabled: false,
                    needTwoFingers: false
                }
            });
            var brd = main.brd;
            brd.options.point.showInfobox = false;

            var t0x = main.get(0);
            if (t0x === null) {
                t0x = 4;
            }
            var t0y = main.get(1);
            if (t0y === null) {
                t0y = 0;
            }
            var t1x = main.get(2);
            if (t1x === null) {
                t1x = -4;
            }
            var t1y = main.get(3);
            if (t1y === null) {
                t1y = 0;
            }

            var p0 = brd.create('point', [t0x, t0y], {
                snapToGrid: true,
                color: 'blue',
                name: '',
                fixed: main.solved
            });
            var p1 = brd.create('point', [t1x, t1y], {
                snapToGrid: true,
                color: 'blue',
                name: '',
                fixed: main.solved
            });
            brd.create('line', [p0, p1], {});
            brd.create('line', [[0, {n}],[1, {m} + {n}]
            ], {
                dash: 1,
                color: 'red',
                visible: main.solved
            });

            var check = function() {
                main.set(0, p0.X());
                main.set(1, p0.Y());
                main.set(2, p1.X());
                main.set(3, p1.Y());
            }
            check();
            brd.on('update', function() {
                check();
            });
        };
        new JSXQuestion("{MB}", jsxCode, false);
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"><span class="" style="color: rgb(0, 61, 245);"><strong>A line can be made from two points, then graph a third point to check the answer.&nbsp;</strong></span></p>
<p dir="ltr" style="text-align: left;"><strong>The first point can be at x= {x2}.</strong><br>When x= {x2} y={y2}<br>The first point can be&nbsp;({x2},{y2})<br>
</p>
<p dir="ltr" style="text-align: left;"><br><strong> The second point can be at x= {x3}</strong><br>When x= {x3} y={y3}<br>The second point can be&nbsp;({x3},{y3})</p><p dir="ltr" style="text-align: left;"><span style="font-size: 0.9375rem; color: rgb(0, 61, 245);" class=""><strong>Use one of the other two point to check the answer.</strong></span><br></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L47 - Area and Perimeter of a parallelogram</text>
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      <text>L47- Area and Perimeter of a Parallelogram</text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td colspan="3">The area or a parallelogram= base times height</td></tr><tr><td>A = bh</td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td><td>&nbsp;Formulas are usually written with the abbreviations&nbsp; A is area = b means base and h means height</td></tr><tr><td>A = ({base})({width})</td><td></td><td>&nbsp;&nbsp; Use parentheses to show multiplication</td></tr><tr><td>A = {area} square feet</td><td></td><td>Use square units for area.&nbsp; You are finding the number of square units inside of the polygon.</td></tr></tbody></table><p dir="ltr"><br></p><br><br><p></p>]]></text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;"></p>
<table>
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        <tr>
            <td colspan="3">The perimeter of a parallelogram is the sum of the distance of each side</td>
        </tr>
        <tr>
            <td>P = side + side + base + base<br><span>P=s+s+b+b</span><br><span>P = 2s + 2b</span></td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td>
            <td>&nbsp;<span>Formulas are usually written with the abbreviations&nbsp; A is area = s means side, b means base and h means height<br><span>side + side is the same as 2s (2 times the side) and base + base is the same as 2b (2 times the base)</span></span></td>
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            <td>P = 2({side})+2({base})</td>
            <td></td>
            <td>&nbsp;&nbsp; Use parentheses to show multiplication</td>
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            <td>P =&nbsp;<span>{=2*side}</span>+<span>{=2*base}</span></td>
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<!-- question: 360155  -->
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    <name>
      <text>L47- Perimeter and Area of a Parallelogram</text>
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      <text><![CDATA[<p>The figure is not drawn to scale</p>
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<text><![CDATA[<p dir="ltr" style="text-align: left;"></p>
<table>
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            <td colspan="3">The perimeter of a parallelogram is the sum of the distance of each side</td>
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            <td>P = side + side + base + base<br><span>P=s+s+b+b</span><br><span>P = 2s + 2b</span></td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td>
            <td>&nbsp;<span>Formulas are usually written with the abbreviations&nbsp; A is area = s means side, b means base and h means height<br><span>side + side is the same as 2s (2 times the side) and base + base is the same as 2b (2 times the base)</span></span></td>
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        <tr>
            <td>P = 2({side})+2({base})</td>
            <td></td>
            <td>&nbsp;&nbsp; Use parentheses to show multiplication</td>
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            <td>P =&nbsp;<span>{=2*side}</span>+<span>{=2*base}</span></td>
            <td></td>
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            <td>P = {perimeter}&nbsp; {unit}</td>
            <td></td>
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<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td colspan="3">The area or a parallelogram= base times height</td></tr><tr><td>A = bh</td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td><td>&nbsp;Formulas are usually written with the abbreviations&nbsp; A is area = b means base and h means height</td></tr><tr><td>A = ({base})({width})</td><td></td><td>&nbsp;&nbsp; Use parentheses to show multiplication</td></tr><tr><td>A = {area} square feet</td><td></td><td>Use square units for area.&nbsp; You are finding the number of square units inside of the polygon.</td></tr></tbody></table><p dir="ltr"><br></p><br><br><p></p>]]></text>
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      <text>$course$/top/Default for MSII/Test #6/L48 - Multiplying Fractions</text>
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<!-- question: 360168  -->
  <question type="formulas">
    <name>
      <text>L48 - area of a Triangle</text>
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      <text><![CDATA[<p dir="ltr" style="text-align: left;">Area of a Triangle = \(\frac{1}{2}\)base x height</p>
<p dir="ltr" style="text-align: left;">A=\(\frac{1}{2}\)({length} x {width})</p>
<p dir="ltr" style="text-align: left;">A=<span style="font-size: 0.9375rem;">\(\frac{1}{2}\)(\(\frac{{=length*width}}{1}\))</span></p>
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<p dir="ltr" style="text-align: left;">Area of a Triangle = base x height&nbsp;÷ 2</p>
<p dir="ltr" style="text-align: left;">A = {length} x {width} ÷ 2</p>
<p dir="ltr" style="text-align: left;">A = {=length*width}&nbsp;&nbsp;÷ 2</p>
<p dir="ltr" style="text-align: left;">A = {area} {=units[1]}</p>
<p dir="ltr" style="text-align: left;">The division can be written with the fraction bar.</p>
<p dir="ltr">A = \(\frac{({length})({width})}{2}\)&nbsp; &nbsp;</p>
<p dir="ltr">A = \(\frac{({=length*width})}{2}\)&nbsp;</p>
<p dir="ltr">A={area}&nbsp;{=units[1]}<br></p>
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 </vars1>
 <answer>
  <text>[area,1]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text><![CDATA[((abs(area-_0)<0.01)*.9) + ((_1==1)*.1)]]></text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
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 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">Area = {_0} {_1:units:MCE}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360176  -->
  <question type="formulas">
    <name>
      <text>L48 - Fifths Fract of - 1/frac through frac/frac</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Simplify</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>5.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>factor={2:10};</text>
</varsrandom>
<varsglobal><text>den=5;
num1=1;
num2=2;
num3=3;
num4=4;
num5=5;
number=den*factor;
ans1=num1/den * number;
ans2=num2/den * number;
ans3=num3/den * number;
ans4=num4/den * number;
ans5=num5/den*number;

</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>ans1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num1}}{{den}}\) of {number} = {_0}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<table><tbody><tr><td><p>\(\frac{{num1}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr>
<tr><td><p>\(\frac{{num1}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr>
  <tr><td><p>\(\frac{{num1}}{{den}}\) of {number} = {ans1}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br><br></td></tr>
  <tr><td><p><br></p></td><td></td><td></td></tr></tbody></table>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text></text>
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 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
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 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>ans2</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
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 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num2}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num2}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num2}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num2}}{{den}}\) x {number} = {ans2}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num2} groups.<br>{num2} x {ans1} = {ans2}<br>The answer is {ans2}.<br><br></td></tr><tr><td><p><br></p></td><td></td>

</tr></tbody></table><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>2</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
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 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
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 <answer>
  <text>ans3</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num3}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num3}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num3}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num3}}{{den}}\) of {number} = {ans3}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num3} groups.<br>{num3} x {ans1} = {ans3}<br>The answer is {ans3}.<br><br></td></tr><tr><td><p><br></p></td><td></td></tr></tbody></table><br><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>3</text>
 </partindex>
 <placeholder>
  <text></text>
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 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
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  <text>1</text>
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  <text></text>
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 <answer>
  <text>ans4</text>
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  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num4}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num4}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num4}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num4}}{{den}}\) of {number} = {ans4}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num4} groups.<br>{num4} x {ans1} = {ans4}<br>The answer is {ans4}.<br><br></td></tr><tr><td><p><br></p></td><td></td></tr></tbody></table><br><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>4</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>ans5</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num5}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num5}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num5}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num5}}{{den}}\) of {number} = {ans5}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num5} groups.<br>{num5} x {ans1} = {ans5}<br>The answer is {ans5}.<br><br></td></tr><tr><td><p><br></p></td><td></td></tr></tbody></table><br><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360175  -->
  <question type="formulas">
    <name>
      <text>L48 - Fourths Fract of - 1/frac through frac/frac</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Simplify</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>4.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>factor={2:10};</text>
</varsrandom>
<varsglobal><text>den=4;
num1=1;
num2=2;
num3=3;
num4=4;
number=den*factor;
ans1=num1/den * number;
ans2=num2/den * number;
ans3=num3/den * number;
ans4=num4/den * number;

</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>ans1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num1}}{{den}}\) of {number} = {_0}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<table><tbody><tr><td><p>\(\frac{{num1}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr>
<tr><td><p>\(\frac{{num1}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr>
  <tr><td><p>\(\frac{{num1}}{{den}}\) of {number} = {ans1}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br><br></td></tr>
  <tr><td><p><br></p></td><td></td><td></td></tr></tbody></table>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>ans2</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num2}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num2}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num2}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num2}}{{den}}\) x {number} = {ans2}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num2} groups.<br>{num2} x {ans1} = {ans2}<br>The answer is {ans2}.<br><br></td></tr><tr><td><p><br></p></td><td></td>

</tr></tbody></table><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>2</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>ans3</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num3}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num3}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num3}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num3}}{{den}}\) of {number} = {ans3}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num3} groups.<br>{num3} x {ans1} = {ans3}<br>The answer is {ans3}.<br><br></td></tr><tr><td><p><br></p></td><td></td></tr></tbody></table><br><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>3</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>ans4</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num4}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num4}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num4}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num4}}{{den}}\) of {number} = {ans4}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num4} groups.<br>{num4} x {ans1} = {ans4}<br>The answer is {ans4}.<br><br></td></tr><tr><td><p><br></p></td><td></td></tr></tbody></table><br><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360174  -->
  <question type="formulas">
    <name>
      <text>L48 - Thirds Fract of - 1/frac through frac/frac</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Simplify</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>3.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>factor={2:10};</text>
</varsrandom>
<varsglobal><text>den=3;
num1=1;
num2=2;
num3=3;
number=den*factor;
ans1=num1/den * number;
ans2=num2/den * number;
ans3=num3/den * number;

</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>ans1</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num1}}{{den}}\) of {number} = {_0}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<table><tbody><tr><td><p>\(\frac{{num1}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr>
<tr><td><p>\(\frac{{num1}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr>
  <tr><td><p>\(\frac{{num1}}{{den}}\) of {number} = {ans1}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br><br></td></tr>
  <tr><td><p><br></p></td><td></td><td></td></tr></tbody></table>]]></text>
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<text></text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num2}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num2}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num2}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num2}}{{den}}\) x {number} = {ans2}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num2} groups.<br>{num2} x {ans1} = {ans2}<br>The answer is {ans2}.<br><br></td></tr><tr><td><p><br></p></td><td></td>

</tr></tbody></table><br><p></p>]]></text>
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 <correctfeedback format="html">
<text></text>
 </correctfeedback>
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<text></text>
 </partiallycorrectfeedback>
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<text></text>
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<answers>
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  <text>2</text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num3}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num3}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num3}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num3}}{{den}}\) of {number} = {ans2}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num3} groups.<br>{num3} x {ans1} = {ans3}<br>The answer is {ans3}.<br><br></td></tr><tr><td><p><br></p></td><td></td></tr></tbody></table><br><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
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<text></text>
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<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360169  -->
  <question type="formulas">
    <name>
      <text>L48- area of a Right Triangle (L)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<jsxgraph width="300" height="300">
    var board = JXG.JSXGraph.initBoard(BOARDID,{ axis:false,grid:false, boundingbox: [-3,10,10,-1], showCopyright: false, showNavigation: false });
    var p1=board.create('point',[0,0],{size:0,name:''});
    var plen=board.create('point',[{length},0],{size:0,name:''});
    var pWid=board.create('point',[0,{width}],{size:0,name:''});
    var plenWid=board.create('point',[{length},{width}],{size:0,name:''});
    var rect=board.create('polygon',[p1,plen,pWid]);
    var tLen=board.create('text',[{length}/2,-.15,"{length} {unit}"],{anchorX:'center',anchorY:'top',fontSize:15});
    var tWid=board.create('text',[0,{width}/2,"{width} {unit}"],{anchorX:'right',anchorY:'middle',fontSize:15});

</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"></p><p dir="ltr">Area of a Triangle = base x height&nbsp;÷ 2</p><p dir="ltr">A = {length} x {width} ÷ 2</p><p dir="ltr">A = {=length*width}&nbsp;&nbsp;÷ 2</p><p dir="ltr">A = {area} {=units[1]}</p><p dir="ltr">The division can be written with the fraction bar.</p><p dir="ltr">A = \(\frac{({length})({width})}{2}\)&nbsp; &nbsp;</p><p dir="ltr">A = \(\frac{({=length*width})}{2}\)&nbsp;</p><p dir="ltr">A={area} {=units[1]}<br></p><p dir="ltr"><br>

</p><br><p></p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
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    <shownumcorrect/>
<varsrandom><text><![CDATA[length={3:10:1};
width={2:10:1};
unit={"ft","yards","inches","mm","meters","cm","km"};
colors=shuffle(["red","green","yellow","blue","purple","orange"]);]]></text>
</varsrandom>
<varsglobal><text><![CDATA[area = length*width/2;

units=[unit,join("","square ",unit),join("","cubic ",unit)];
color1=colors[0];
color2=colors[1];]]></text>
</varsglobal>
<answernumbering><text>abc</text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">Area = {_0} {_1:units:MCE}</p>]]></text>
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<text></text>
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<text></text>
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</answers>
  </question>

<!-- question: 360170  -->
  <question type="formulas">
    <name>
      <text>L48- Mult-frac times mixed- ans mixed</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply \(\frac{{num1}}{{den1}}\) and&nbsp;{whole1}\(\frac{{num2}}{{den2}}\)</p><p dir="ltr" style="text-align: left;">(Leave the answer as an improper fraction.)</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table style="text-align: center;">
    <tbody>
        <tr>
            <td>\(\frac{{num1}}{{den1}}\) and&nbsp;{whole1}\(\frac{{num2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Given<br><br></td>
        </tr>
        <tr></tr>
        <tr>
            <td>\(\frac{{num1}}{{den1}}\) and&nbsp;\(\frac{{impNum2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Change the mixed number to an improper fraction<br><br></td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{num1}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{impNum2}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{prodNum}</span></td>
                        </tr>
                        <tr>
                            <td><span class="" style="color: rgb(152, 202, 62);">{den1}</span></td>

                            <td><span class="" style="color: rgb(152, 202, 62);">{den2}</span></td>
                            <td><span class="" style="color: rgb(152, 202, 62);">{prodDen}</span></td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td></td>
            <td><br>To multiply fractions:<br>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(255, 51, 102);">1: multiply the numerators</span><br><span class="" style="color: rgb(152, 202, 62);">2: multiply the denominators</span></div>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(152, 202, 62);"><br></span></div>
            </td>
        </tr>
        <tr>
            <td colspan="4"><strong>Simplify the answer</strong></td>

        </tr>
        <tr>
            <td>{ansWh}\(\frac{{redNum}}{{prodDen}}\)</td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;</td>
            <td><br>{FB}<br>{prodDen} can divide into {prodNum}, {ansWh} times with {redNum} left over.<br><br></td>
        </tr>
        
        <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{prodDen}÷{GCF}}\)</td>
            <td></td>
            <td><br>The GCF (greatest Common Factor) of {redNum} and {prodDen} is {GCF}.&nbsp; &nbsp;Divide the numerator and denominator by {GCF}&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><strong>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)</strong></td>
            <td></td>
            <td><br>Simplify<br><br></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
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    <shownumcorrect/>
<varsrandom><text>whole1={2:11:1};
fraction0={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};</text>
</varsrandom>
<varsglobal><text><![CDATA[num1=fraction0[0];
den1=fraction0[1];

num2=fraction1[0];
den2=fraction1[1];
impNum2=den2*whole1+num2;

prodNum=impNum2*num1;
prodDen=den1*den2;
FB=pick(prodNum>prodDen,"The fraction is a proper fraction, therefore write one for the whole number.  (The fraction is less than 1.)","The product is an improper fraction.   Write the answer as a mixed number.");
ansWh=(prodNum>prodDen)?floor(prodNum/prodDen):0;
redNum=prodNum-(ansWh*prodDen);

GCF=gcd(redNum,prodDen);
ansNum=redNum/GCF;
ansDen=prodDen/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
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  <text>3</text>
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  <text>[ansWh,ansNum,ansDen]</text>
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  <text></text>
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  <text>((_0==ansWh)*.1)+ (((_1/_2)==(ansNum/ansDen))*.6)  + ((gcd(_1,_2)==1)*.3)</text>
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<text><![CDATA[<table>
    <tbody>
        <tr>
            <td rowspan="2"><br></td>
            <td style="border-bottom:1px solid black">{num1}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;x {whole1}</td>
            <td style="border-bottom:1px solid black">{num2}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
            <td rowspan="2" style="text-align: right;">{_0}
            </td>
            <td style="border-bottom:1px solid black">{_1}</td>
        </tr>
        <tr>
            <td>{den1}</td>

            <td>{den2}</td>
            <td>{_2}</td>
        </tr>
    </tbody>
</table>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
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                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
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                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
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        var txt = $(".formulas_number").val();
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<text></text>
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<text></text>
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<text></text>
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</answers>
  </question>

<!-- question: 360171  -->
  <question type="formulas">
    <name>
      <text>L48- Mult-Mix-Fraction-Ans Mixed</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply {whole1}\(\frac{{num1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)</p><p dir="ltr" style="text-align: left;">(Leave the answer as an improper fraction.)</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table style="text-align: center;">
    <tbody>
        <tr>
            <td>{whole1}\(\frac{{num1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Given<br><br></td>
        </tr>
        <tr></tr>
        <tr>
            <td>\(\frac{{impNum1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Change the mixed number to an improper fraction<br><br></td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{impNum1}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{num2}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{prodNum}</span></td>
                        </tr>
                        <tr>
                            <td><span class="" style="color: rgb(152, 202, 62);">{den1}</span></td>

                            <td><span class="" style="color: rgb(152, 202, 62);">{den2}</span></td>
                            <td><span class="" style="color: rgb(152, 202, 62);">{prodDen}</span></td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td></td>
            <td><br>To multiply fractions:<br>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(255, 51, 102);">1: multiply the numerators</span><br><span class="" style="color: rgb(152, 202, 62);">2: multiply the denominators</span></div>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(152, 202, 62);"><br></span></div>
            </td>
        </tr>
        <tr>
            <td colspan="4"><strong>Simplify the answer</strong></td>

        </tr>
        <tr>
            <td>{ansWh}\(\frac{{redNum}}{{prodDen}}\)</td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;</td>
            <td><br>{FB}<br>{prodDen} can divide into {prodNum}, {ansWh} times with {redNum} left over.<br><br></td>
        </tr>
        
        <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{prodDen}÷{GCF}}\)</td>
            <td></td>
            <td><br>The GCF (greatest Common Factor) of {redNum} and {prodDen} is {GCF}.&nbsp; &nbsp;Divide the numerator and denominator by {GCF}&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><strong>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)</strong></td>
            <td></td>
            <td><br>Simplify<br><br></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
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    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>whole1={2:11:1};
fraction0={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};</text>
</varsrandom>
<varsglobal><text><![CDATA[num1=fraction0[0];

den1=fraction0[1];
impNum1=den1*whole1+num1;
num2=fraction1[0];
den2=fraction1[1];
prodNum=impNum1*num2;
prodDen=den1*den2;
FB=pick(prodNum>prodDen,"The fraction is a proper fraction, therefore write one for the whole number.  (The fraction is less than 1.)","The product is an improper fraction.   Write the answer as a mixed number.");
ansWh=(prodNum>prodDen)?floor(prodNum/prodDen):0;
redNum=prodNum-(ansWh*prodDen);

GCF=gcd(redNum,prodDen);
ansNum=redNum/GCF;
ansDen=prodDen/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((_0==ansWh)*.1)+ (((_1/_2)==(ansNum/ansDen))*.6)  + ((gcd(_1,_2)==1)*.3)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td rowspan="2">{whole1}</td>
            <td style="border-bottom:1px solid black">{num1}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
            <td style="border-bottom:1px solid black">{num2}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
            <td rowspan="2" style="text-align: right;">{_0}
            </td>
            <td style="border-bottom:1px solid black">{_1}</td>
        </tr>
        <tr>
            <td>{den1}</td>

            <td>{den2}</td>
            <td>{_2}</td>
        </tr>
    </tbody>
</table>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360172  -->
  <question type="formulas">
    <name>
      <text>L48- Mult-mixed times mixed- ans mixed</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply {whole0}\(\frac{{num1}}{{den1}}\) and&nbsp;{whole1}\(\frac{{num2}}{{den2}}\)</p><p dir="ltr" style="text-align: left;">(Leave the answer as an improper fraction.)</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table style="text-align: center;">
    <tbody>
        <tr>
            <td>\(\frac{{num1}}{{den1}}\) and&nbsp;{whole1}\(\frac{{num2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Given<br><br></td>
        </tr>
        <tr></tr>
        <tr>
            <td>\(\frac{{impNum1}}{{den1}}\) and&nbsp;\(\frac{{impNum2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Change the mixed numbers to improper fractions<br><br></td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{impNum1}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{impNum2}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{prodNum}</span></td>
                        </tr>
                        <tr>
                            <td><span class="" style="color: rgb(152, 202, 62);">{den1}</span></td>

                            <td><span class="" style="color: rgb(152, 202, 62);">{den2}</span></td>
                            <td><span class="" style="color: rgb(152, 202, 62);">{prodDen}</span></td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td></td>
            <td><br>To multiply fractions:<br>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(255, 51, 102);">1: multiply the numerators</span><br><span class="" style="color: rgb(152, 202, 62);">2: multiply the denominators</span></div>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(152, 202, 62);"><br></span></div>
            </td>
        </tr>
        <tr>
            <td colspan="4"><strong>Simplify the answer</strong></td>

        </tr>
        <tr>
            <td>{ansWh}\(\frac{{redNum}}{{prodDen}}\)</td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;</td>
            <td><br>{FB}<br>{prodDen} can divide into {prodNum}, {ansWh} times with {redNum} left over.<br><br></td>
        </tr>
        
        <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{prodDen}÷{GCF}}\)</td>
            <td></td>
            <td><br>The GCF (greatest Common Factor) of {redNum} and {prodDen} is {GCF}.&nbsp; &nbsp;Divide the numerator and denominator by {GCF}&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><strong>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)</strong></td>
            <td></td>
            <td><br>Simplify<br><br></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>whole0={1:4:1};
whole1={1:4:1};
fraction0={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};</text>
</varsrandom>
<varsglobal><text><![CDATA[num1=fraction0[0];
den1=fraction0[1];
impNum1=den1*whole0+num1;
num2=fraction1[0];
den2=fraction1[1];
impNum2=den2*whole1+num2;

prodNum=impNum2*impNum1;
prodDen=den1*den2;
FB=pick(prodNum>prodDen,"The fraction is a proper fraction, therefore write one for the whole number.  (The fraction is less than 1.)","The product is an improper fraction.   Write the answer as a mixed number.");
ansWh=(prodNum>prodDen)?floor(prodNum/prodDen):0;
redNum=prodNum-(ansWh*prodDen);

GCF=gcd(redNum,prodDen);
ansNum=redNum/GCF;
ansDen=prodDen/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((_0==ansWh)*.1)+ (((_1/_2)==(ansNum/ansDen))*.6)  + ((gcd(_1,_2)==1)*.3)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td rowspan="2">{whole0}</td>
            <td style="border-bottom:1px solid black">{num1}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;x {whole1}</td>
            <td style="border-bottom:1px solid black">{num2}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
            <td rowspan="2" style="text-align: right;">{_0}
            </td>
            <td style="border-bottom:1px solid black">{_1}</td>
        </tr>
        <tr>
            <td>{den1}</td>

            <td>{den2}</td>
            <td>{_2}</td>
        </tr>
    </tbody>
</table>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360181  -->
  <question type="formulas">
    <name>
      <text>L48- Multiply frac times Mixed</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply:&nbsp; (\(\frac{{num}}{{den}}\))({whole1}\(\frac{{num1}}{{den1}}\))</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>&nbsp;(\(\frac{{num}}{{den}}\))({whole1}\(\frac{{num1}}{{den1}}\)) =&nbsp;</td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr>
            <td>
                (\(\frac{{impNum}}{{den}}\))&nbsp;(\(\frac{{impNum1}}{{den1}}\))</td>
            <td></td><td><div class="editor-indent" style="margin-left: 30px;">&nbsp;</div><div class="editor-indent" style="margin-left: 30px;"><br></div>Write {whole1}\(\frac{{num1}}{{den1}}\) as a fraction.<br>To write a mixed number as a fraction:<br><div>{den1} times {whole1} + {num1} is the numerator<br>keep the same denominator, {den}</div><div>{whole1}\(\frac{{num1}}{{den1}}\) = (\(\frac{{impNum1}}{{den1}}\))&nbsp;</div><br>
            </td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}}{{prodDen}}\)&nbsp;<br></td>
            <td></td>
            <td><br>Multiply the numerators, Multiply the denominators.<br>\(\frac{{impNum}x{impNum1}}{{den}x {den1}}\)&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><br>{ansWh}\(\frac{{redNum}}{{prodDen}}\)&nbsp;</td>
            <td></td>
            <td><br>Simplify the Fraction<br>{prodDen} goes into {prodNum}, {ansWh} times.<br>{redNum} are left over.&nbsp; Write {redNum} in the numerator.<br>keep the same denominator ({prodDen}).<br><br></td>
        </tr>
        <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{prodDen}÷{GCF}}\)&nbsp;</td>
            <td></td>
            <td><br>The GCF of the numerator and denominator is {GCF}.<br>Divide the numerator and denominator both by {GCF}.<br><br></td>
        </tr>
        <tr>
            <td>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)&nbsp;</td>
            <td></td>
            <td>Simplify</td>
        </tr>
        <tr>
            <td></td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table><br>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>fraction={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole={1:5:1};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole1={1:5:1};
</text>
</varsrandom>
<varsglobal><text><![CDATA[whole=0; #first number is currently just a fraction

#fraction 0
whole=whole;
num=fraction[0];
den=fraction[1];
impNum=den*whole+num;

#fraction1
whole1=whole1;
num1=fraction1[0];
den1=fraction1[1];
impNum1=den1*whole1+num1;

prodNum=impNum*impNum1;
prodDen=den*den1;
ansWh=(prodNum>prodDen)?floor(prodNum/prodDen):0;
redNum=prodNum-(ansWh*prodDen);
GCF=gcd(redNum,prodDen);
ansNum=redNum/GCF;
ansDen=prodDen/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((((ansWh*ansDen+ansNum)/ansDen)==((_0*_2+_1))/_2)*.8) + ((gcd(_1,_2)==1)*.15)+ ((_0 == ansWh)*.05)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">&nbsp;(\(\frac{{num}}{{den}}\))({whole1}\(\frac{{num1}}{{den1}}\))=&nbsp;</p>
            </td>
          <td rowspan="2" style="text-align: right;">{_0}</td>  
          <td style="border-bottom: 1px solid black">{_1}</td>
           
        </tr>
        <tr>
            <td></td>
            
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360177  -->
  <question type="formulas">
    <name>
      <text>L48- Multiply frac times whole</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply:&nbsp; (\(\frac{{num}}{{den}}\))({whole})</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>(\(\frac{{num}}{{den}}\))({whole}) =&nbsp;</td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr>
            <td>
                (\(\frac{{num}}{{den}}\))(\(\frac{{whole}}{1}\))&nbsp;
            </td>
            <td></td>
            <td><br>Write {whole} as a fraction.<br>To write a whole number as a fraction, put a 1 in the denominator.<br>(\(\frac{{whole}}{1}\))&nbsp;<br><br></td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}}{{den}}\)&nbsp;<br></td>
            <td></td>
            <td>\(\frac{{num}x{whole}}{{den}x 1}\)&nbsp;<br>Simplify</td>
        </tr>
        <tr>
            <td><br>{ansWh}\(\frac{{redNum}}{{den}}\)&nbsp;</td>
            <td></td>
            <td><br>Simplify the Fraction<br>{den} goes into {prodNum}, {ansWh} times.<br>{redNum} are left over.&nbsp; Write {redNum} in the numerator.<br>keep the same denominator.<br><br></td>
        </tr> <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{den}÷{GCF}}\)&nbsp;</td>
            <td></td>
            <td><br>The GCF of the numerator and denominator is {GCF}.<br>Divide the numerator and denominator both by {GCF}.<br><br></td>
        </tr> <tr>
            <td>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)&nbsp;</td>
            <td></td>
            <td>Simplify</td>
        </tr> <tr>
            <td></td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table><br>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>fraction={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole={2:21:1};
</text>
</varsrandom>
<varsglobal><text><![CDATA[num=fraction[0];
den=fraction[1];
prodNum=num*whole;
ansWh=(prodNum>den)?floor(prodNum/den):0;
redNum=prodNum-(ansWh*den);
GCF=gcd(redNum,den);
ansNum=redNum/GCF;
ansDen=den/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((((ansWh*ansDen+ansNum)/ansDen)==((_0*_2+_1))/_2)*.8) + ((gcd(_1,_2)==1)*.15)+ ((_0 == ansWh)*.05)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">(\(\frac{{num}}{{den}}\))({whole}) =&nbsp;</p>
            </td>
          <td rowspan="2" style="text-align: right;">{_0}</td>  
          <td style="border-bottom: 1px solid black">{_1}</td>
           
        </tr>
        <tr>
            <td></td>
            
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360165  -->
  <question type="formulas">
    <name>
      <text>L48- Multiply Fractions</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply \(\frac{{num1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>&nbsp;\(\frac{{num1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Given<br><br></td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{num1}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{num2}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{prodNum}</span></td>
                        </tr>
                        <tr>
                            <td><span class="" style="color: rgb(152, 202, 62);">{den1}</span></td>

                            <td><span class="" style="color: rgb(152, 202, 62);">{den2}</span></td>
                            <td><span class="" style="color: rgb(152, 202, 62);">{prodDen}</span></td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td></td>
            <td><br>To multiply fractions:<br>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(255, 51, 102);">1: multiply the numerators</span><br><span class="" style="color: rgb(152, 202, 62);">2: multiply the denominators</span></div><div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(152, 202, 62);"><br></span></div>
            </td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}}{{prodDen}}\)</td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;</td>
            <td><br>Simplify the fraction<br><br></td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}÷{GCF}}{{prodDen}÷{GCF}}\)</td>
            <td></td>
            <td><br>The GCF (greatest Common Factor) of {prodNum} and {prodDen} is {GCF}.&nbsp; &nbsp;Divide the numerator and denominator by {GCF}&nbsp;<br><br></td>
        </tr><tr>
            <td><strong>\(\frac{{ansNum}}{{ansDen}}\)</strong></td>
            <td></td>
            <td><br>Simplify<br><br></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>fraction0={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};</text>
</varsrandom>
<varsglobal><text>num1=fraction0[0];
den1=fraction0[1];
num2=fraction1[0];
den2=fraction1[1];
prodNum=num1*num2;
prodDen=den1*den2;
GCF=gcd(prodNum,prodDen);
ansNum=prodNum/GCF;
ansDen=prodDen/GCF;</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>(((_0/_1)==(prodNum/prodDen))*.6)  + ((gcd(_0,_1)==1)*.4)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td style="border-bottom:1px solid black">{num1}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
            <td style="border-bottom:1px solid black">{num2}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
          <td style="border-bottom:1px solid black">{_0}</td>
        </tr>
        <tr>
            <td>{den1}</td>

            <td>{den2}</td>
            <td>{_1}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360179  -->
  <question type="formulas">
    <name>
      <text>L48- Multiply mix times frac</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply:&nbsp; ({whole}\(\frac{{num}}{{den}}\))(\(\frac{{num1}}{{den1}}\))</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>&nbsp;({whole}\(\frac{{num}}{{den}}\))(\(\frac{{num1}}{{den1}}\)) =&nbsp;</td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr>
            <td>
                (\(\frac{{impNum}}{{den}}\))&nbsp;(\(\frac{{impNum1}}{{den1}}\))</td>
            <td></td>
            <td><br>Write {whole}\(\frac{{num}}{{den}}\) as a fraction.<br>To write a mixed number as a fraction:<br>
                <div class="editor-indent" style="margin-left: 30px;">{den} times {whole} + {num} is the numerator<br>keep the same denominator, {den}</div><div class="editor-indent" style="margin-left: 30px;">{whole}\(\frac{{num}}{{den}}\) = (\(\frac{{impNum}}{{den}}\))&nbsp;</div><br>
            </td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}}{{prodDen}}\)&nbsp;<br></td>
            <td></td>
            <td><br>Multiply the numerators, Multiply the denominators.<br>\(\frac{{impNum}x{impNum1}}{{den}x {den1}}\)&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><br>{ansWh}\(\frac{{redNum}}{{prodDen}}\)&nbsp;</td>
            <td></td>
            <td><br>Simplify the Fraction<br>{prodDen} goes into {prodNum}, {ansWh} times.<br>{redNum} are left over.&nbsp; Write {redNum} in the numerator.<br>keep the same denominator ({prodDen}).<br><br></td>
        </tr>
        <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{prodDen}÷{GCF}}\)&nbsp;</td>
            <td></td>
            <td><br>The GCF of the numerator and denominator is {GCF}.<br>Divide the numerator and denominator both by {GCF}.<br><br></td>
        </tr>
        <tr>
            <td>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)&nbsp;</td>
            <td></td>
            <td>Simplify</td>
        </tr>
        <tr>
            <td></td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table><br>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>fraction={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole={2:10:1};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole1={2:21:1};
</text>
</varsrandom>
<varsglobal><text><![CDATA[whole1=0; #second number is currently just a fraction

#fraction 0
whole=whole;
num=fraction[0];
den=fraction[1];
impNum=den*whole+num;

#fraction1
whole1=whole1;
num1=fraction1[0];
den1=fraction1[1];
impNum1=den1*whole1+num1;

prodNum=impNum*impNum1;
prodDen=den*den1;
ansWh=(prodNum>prodDen)?floor(prodNum/prodDen):0;
redNum=prodNum-(ansWh*prodDen);
GCF=gcd(redNum,prodDen);
ansNum=redNum/GCF;
ansDen=prodDen/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((((ansWh*ansDen+ansNum)/ansDen)==((_0*_2+_1))/_2)*.8) + ((gcd(_1,_2)==1)*.15)+ ((_0 == ansWh)*.05)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">&nbsp;({whole}\(\frac{{num}}{{den}}\))(\(\frac{{num1}}{{den1}}\))=&nbsp;</p>
            </td>
          <td rowspan="2" style="text-align: right;">{_0}</td>  
          <td style="border-bottom: 1px solid black">{_1}</td>
           
        </tr>
        <tr>
            <td></td>
            
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360180  -->
  <question type="formulas">
    <name>
      <text>L48- Multiply mix times Mixed</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply:&nbsp; ({whole}\(\frac{{num}}{{den}}\))({whole1}\(\frac{{num1}}{{den1}}\))</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>&nbsp;({whole}\(\frac{{num}}{{den}}\))({whole1}\(\frac{{num1}}{{den1}}\)) =&nbsp;</td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr>
            <td>
                (\(\frac{{impNum}}{{den}}\))&nbsp;(\(\frac{{impNum1}}{{den1}}\))</td>
            <td></td>
            <td><br>Write {whole}\(\frac{{num}}{{den}}\) as a fraction.<br>To write a mixed number as a fraction:<br>
                <div class="editor-indent" style="margin-left: 30px;">{den} times {whole} + {num} is the numerator<br>keep the same denominator, {den}</div><div class="editor-indent" style="margin-left: 30px;">{whole}\(\frac{{num}}{{den}}\) = (\(\frac{{impNum}}{{den}}\))&nbsp;</div><div class="editor-indent" style="margin-left: 30px;"><br></div>Write {whole1}\(\frac{{num1}}{{den1}}\) as a fraction.<br>To write a mixed number as a fraction:<br><div>{den1} times {whole1} + {num1} is the numerator<br>keep the same denominator, {den}</div><div>{whole1}\(\frac{{num1}}{{den1}}\) = (\(\frac{{impNum1}}{{den1}}\))&nbsp;</div><br>
            </td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}}{{prodDen}}\)&nbsp;<br></td>
            <td></td>
            <td><br>Multiply the numerators, Multiply the denominators.<br>\(\frac{{impNum}x{impNum1}}{{den}x {den1}}\)&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><br>{ansWh}\(\frac{{redNum}}{{prodDen}}\)&nbsp;</td>
            <td></td>
            <td><br>Simplify the Fraction<br>{prodDen} goes into {prodNum}, {ansWh} times.<br>{redNum} are left over.&nbsp; Write {redNum} in the numerator.<br>keep the same denominator ({prodDen}).<br><br></td>
        </tr>
        <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{prodDen}÷{GCF}}\)&nbsp;</td>
            <td></td>
            <td><br>The GCF of the numerator and denominator is {GCF}.<br>Divide the numerator and denominator both by {GCF}.<br><br></td>
        </tr>
        <tr>
            <td>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)&nbsp;</td>
            <td></td>
            <td>Simplify</td>
        </tr>
        <tr>
            <td></td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table><br>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>fraction={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole={1:5:1};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole1={1:5:1};
</text>
</varsrandom>
<varsglobal><text><![CDATA[#whole1=0; #second number is currently just a fraction

#fraction 0
whole=whole;
num=fraction[0];
den=fraction[1];
impNum=den*whole+num;

#fraction1
whole1=whole1;
num1=fraction1[0];
den1=fraction1[1];
impNum1=den1*whole1+num1;

prodNum=impNum*impNum1;
prodDen=den*den1;
ansWh=(prodNum>prodDen)?floor(prodNum/prodDen):0;
redNum=prodNum-(ansWh*prodDen);
GCF=gcd(redNum,prodDen);
ansNum=redNum/GCF;
ansDen=prodDen/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((((ansWh*ansDen+ansNum)/ansDen)==((_0*_2+_1))/_2)*.8) + ((gcd(_1,_2)==1)*.15)+ ((_0 == ansWh)*.05)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">&nbsp;({whole}\(\frac{{num}}{{den}}\))({whole1}\(\frac{{num1}}{{den1}}\))=&nbsp;</p>
            </td>
          <td rowspan="2" style="text-align: right;">{_0}</td>  
          <td style="border-bottom: 1px solid black">{_1}</td>
           
        </tr>
        <tr>
            <td></td>
            
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360173  -->
  <question type="formulas">
    <name>
      <text>L48- Multiply Mixed Number Times Fraction</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply {whole1}\(\frac{{num1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)</p><p dir="ltr" style="text-align: left;">(Leave the answer as an improper fraction.)</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>{whole1}\(\frac{{num1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Given<br><br></td>
        </tr>
        <tr></tr><tr>
            <td>\(\frac{{impNum1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Change the mixed number to an improper fraction<br><br></td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{impNum1}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{num2}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{prodNum}</span></td>
                        </tr>
                        <tr>
                            <td><span class="" style="color: rgb(152, 202, 62);">{den1}</span></td>

                            <td><span class="" style="color: rgb(152, 202, 62);">{den2}</span></td>
                            <td><span class="" style="color: rgb(152, 202, 62);">{prodDen}</span></td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td></td>
            <td><br>To multiply fractions:<br>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(255, 51, 102);">1: multiply the numerators</span><br><span class="" style="color: rgb(152, 202, 62);">2: multiply the denominators</span></div>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(152, 202, 62);"><br></span></div>
            </td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}}{{prodDen}}\)</td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;</td>
            <td><br>Simplify the fraction<br><br></td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}÷{GCF}}{{prodDen}÷{GCF}}\)</td>
            <td></td>
            <td><br>The GCF (greatest Common Factor) of {prodNum} and {prodDen} is {GCF}.&nbsp; &nbsp;Divide the numerator and denominator by {GCF}&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><strong>\(\frac{{ansNum}}{{ansDen}}\)</strong></td>
            <td></td>
            <td><br>Simplify<br><br></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>whole1={2:11:1};
fraction0={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};</text>
</varsrandom>
<varsglobal><text>num1=fraction0[0];

den1=fraction0[1];
impNum1=den1*whole1+num1;
num2=fraction1[0];
den2=fraction1[1];
prodNum=impNum1*num2;
prodDen=den1*den2;
GCF=gcd(prodNum,prodDen);
ansNum=prodNum/GCF;
ansDen=prodDen/GCF;</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>(((_0/_1)==(prodNum/prodDen))*.6)  + ((gcd(_0,_1)==1)*.4)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
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  <text></text>
 </postunit>
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  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td rowspan="2">{whole1}</td>
            <td style="border-bottom:1px solid black">{num1}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
            <td style="border-bottom:1px solid black">{num2}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
            <td style="border-bottom:1px solid black">{_0}</td>
        </tr>
        <tr>
            <td>{den1}</td>

            <td>{den2}</td>
            <td>{_1}</td>
        </tr>
    </tbody>
</table>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
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                                  defaultWidth   default width of the box
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                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
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                                  family            family of the font, eg. "Times New Roman", Times, serif
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    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
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        $(".formulas_number").keyup(function() {
            newWidth();
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</script>]]></text>
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<text></text>
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<text></text>
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<text></text>
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<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360178  -->
  <question type="formulas">
    <name>
      <text>L48- Multiply whole times frac</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply:&nbsp; ({whole})(\(\frac{{num}}{{den}}\))</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>({whole})(\(\frac{{num}}{{den}}\)) =&nbsp;</td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr>
            <td>
                (\(\frac{{whole}}{1}\))&nbsp;(\(\frac{{num}}{{den}}\))</td>
            <td></td>
            <td><br>Write {whole} as a fraction.<br>To write a whole number as a fraction, put a 1 in the denominator.<br>(\(\frac{{whole}}{1}\))&nbsp;<br><br></td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}}{{den}}\)&nbsp;<br></td>
            <td></td>
            <td>\(\frac{{num}x{whole}}{{den}x 1}\)&nbsp;<br>Simplify</td>
        </tr>
        <tr>
            <td><br>{ansWh}\(\frac{{redNum}}{{den}}\)&nbsp;</td>
            <td></td>
            <td><br>Simplify the Fraction<br>{den} goes into {prodNum}, {ansWh} times.<br>{redNum} are left over.&nbsp; Write {redNum} in the numerator.<br>keep the same denominator.<br><br></td>
        </tr> <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{den}÷{GCF}}\)&nbsp;</td>
            <td></td>
            <td><br>The GCF of the numerator and denominator is {GCF}.<br>Divide the numerator and denominator both by {GCF}.<br><br></td>
        </tr> <tr>
            <td>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)&nbsp;</td>
            <td></td>
            <td>Simplify</td>
        </tr> <tr>
            <td></td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table><br>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>fraction={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole={2:21:1};
</text>
</varsrandom>
<varsglobal><text><![CDATA[num=fraction[0];
den=fraction[1];
prodNum=num*whole;
ansWh=(prodNum>den)?floor(prodNum/den):0;
redNum=prodNum-(ansWh*den);
GCF=gcd(redNum,den);
ansNum=redNum/GCF;
ansDen=den/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
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  <text></text>
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 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
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  <text></text>
 </vars2>
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  <text>((((ansWh*ansDen+ansNum)/ansDen)==((_0*_2+_1))/_2)*.8) + ((gcd(_1,_2)==1)*.15)+ ((_0 == ansWh)*.05)</text>
 </correctness>
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  <text>1</text>
 </unitpenalty>
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  <text></text>
 </postunit>
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  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">({whole})(\(\frac{{num}}{{den}}\))=&nbsp;</p>
            </td>
          <td rowspan="2" style="text-align: right;">{_0}</td>  
          <td style="border-bottom: 1px solid black">{_1}</td>
           
        </tr>
        <tr>
            <td></td>
            
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
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<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L43- Ratio and Rate</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360235  -->
  <question type="formulas">
    <name>
      <text>L43- part whole question</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">A {=location[scenario]} has {total} {=whole[scenario]}.&nbsp; How many {=part1[scenario]} are in the {=location[scenario]} if there are {p2Num} {=part2[scenario]}?</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>factor={2:11:1};
ratio={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
scenario={0,1};</text>
</varsrandom>
<varsglobal><text><![CDATA[location=["class","class"];
whole=["students","students"];
part1=["girls","boys"];
part2=["boys","girls"];
p1Num=ratio[0]*factor;
p2Num=ratio[1]*factor;
total=p1Num+p2Num;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
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  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>p1Num</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text></text>
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<text></text>
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<text></text>
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<text></text>
 </partiallycorrectfeedback>
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<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360231  -->
  <question type="formulas">
    <name>
      <text>L43- Ratio and Rate Simplest Form</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Express {first} {units[0]} to {second} {units[1]} as a ratio or rate in simplest form.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">{first} {units[0]} : {second} {units[1]}</p>
            </td>
            <td></td>
            <td>Given</td>
        </tr><tr>
            <td>
                <p dir="ltr" style="text-align: left;">\(\frac{{first}}{{GCF}}\) : \(\frac{{second}}{{GCF}}\)</p>
            </td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td>
            <td>Divide both numbers by the GCF&nbsp;<br>The GCF of {first} and {second} is {GCF}</td>
        </tr><tr>
            <td>
                <p dir="ltr" style="text-align: left;">{a} {units[0]} : {den} {units[1]}</p>
            </td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table>]]></text>
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    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
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      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[a={1:11:1};
b={2:11:1};
den={2:11:1};
units={["wins","games"],["wins","loses"],["blue cars","grey cars"],["men","woman"],["youth tickets","adult tickets"],["child tickets","adult tickets"],["feet","yards"],["feet","cm"],["yards","meters"],["mm","m"],["km","cm"],["m","cm"],["mm","cm"],["cups","pints"],["girls","boys"],["dollars","days"],["cups sugar","cups water"]};]]></text>
</varsrandom>
<varsglobal><text>first=a*b;
second=b*den;
GCF=gcd(first,second);
a=first/GCF;
den=second/GCF;</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
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  <text>0</text>
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  <text>1</text>
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  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[a,den]</text>
 </answer>
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  <text></text>
 </vars2>
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  <text>_err == 0</text>
 </correctness>
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  <text>1</text>
 </unitpenalty>
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  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{_0} {units[0]} : {_1} {units[1]}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360232  -->
  <question type="formulas">
    <name>
      <text>L43- Ratio and Rate Simplest Form (Fraction)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Express {first} {units[0]} to {second} {units[1]} as a ratio or rate in simplest form.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <table style="text-align: center;">
                    <tbody>
                        <tr>
                            <td style="border-bottom: 1px solid black">{first} {units[0]}</td>
                        </tr>
                        <tr>
                            <td>{second} {units[1]}</td>
                        </tr>
                    </tbody>
                </table><br>
            </td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td>
            <td>Given</td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom: 1px solid black">{first}&nbsp;÷ {GCF}</td>
                        </tr>
                        <tr>
                            <td>{second}&nbsp;&nbsp;÷ {GCF}</td>
                        </tr>
                    </tbody>
                </table><br>
            </td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td>
            <td>Divide both numbers by the GCF&nbsp;<br>The GCF of {first} and {second} is {GCF}</td>
        </tr>
        <tr>
            <td>
                <table style="text-align: center;">
                    <tbody>
                        <tr>
                            <td style="border-bottom: 1px solid black">{a} {units[0]}</td>
                        </tr>
                        <tr>
                            <td>{den} {units[1]}</td>
                        </tr>
                    </tbody>
                </table><br>
            </td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[a={1:11:1};
b={2:11:1};
den={2:11:1};
units={["wins","games"],["wins","loses"],["blue cars","grey cars"],["men","woman"],["youth tickets","adult tickets"],["child tickets","adult tickets"],["feet","minutes"],["feet","hours"],["yards","hours"],["hours","m"],["km","hours"],["m","hours"],["mm","hours"],["cups","pints"],["girls","boys"],["dollars","days"],["cups sugar","cups water"]};]]></text>
</varsrandom>
<varsglobal><text>first=a*b;
second=b*den;
GCF=gcd(first,second);
a=first/GCF;
den=second/GCF;</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
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  <text>0</text>
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 <placeholder>
  <text></text>
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  <text>1</text>
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 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[a,den]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table><tbody><tr><td style="border-bottom: 1px solid black">{_0} {units[0]}</td></tr><tr><td>{_1} {units[1]}</td></tr></tbody></table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360237  -->
  <question type="formulas">
    <name>
      <text>L43- Ratio and Rate Total-Simplest Form (colon)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Express {units[0]} to {units[2]} as a ratio or rate in simplest form when the ratio of {units[0]} to {units[1]} is&nbsp;{first} to&nbsp;{second}.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">{first} {units[0]} : {second} {units[1]}</p>
            </td>
            <td></td>
            <td>Given</td></tr><tr><td><p dir="ltr" style="text-align: left;">{units[2]} = {=first+second}</p>
            </td>
            <td></td>
            <td>{first} + {second} = {=first+second}</td>
        </tr><tr>
            <td>
                <p dir="ltr" style="text-align: left;">{first} {units[0]} : {=first+second} {units[2]}</p>
            </td>
            <td></td>
            <td>Write the ratio for&nbsp;{units[0]} to {units[2]}</td>
        </tr>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">\(\frac{{first}}{{GCFb}}\) : \(\frac{{=first+second}}{{GCFb}}\)</p>
            </td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td>
            <td>Divide both numbers by the GCF&nbsp;<br>The GCF of {first} and {=first+second} is {GCFb}</td>
        </tr>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">{b} {units[0]} : {totb} {units[2]}</p>
            </td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[a={1:11:1};
b={2:11:1};
den={2:11:1};
units={["wins","loses","total games"],["loses","wins","total games"],["blue cars","grey cars","total cars"],["men","woman","people"],["youth tickets","adult tickets","total tickets"],["child tickets","adult tickets","total tickets"],["girls","boys","total students"],["cups sugar","cups water","total cups"]};]]></text>
</varsrandom>
<varsglobal><text>first=a*b;
second=b*den;
GCF=gcd(first,second);
a=first/GCF;
den=second/GCF;

b=first;
totb=first+second;
GCFb=gcd(b,totb);
b=first/GCFb;
totb=totb/GCFb;</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[b,totb]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((_0/_1 == b/totb) *.5)+ ((gcd(_0,_1) ==1) *.5)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{_0} {units[0]} : {_1} {units[2]}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360239  -->
  <question type="formulas">
    <name>
      <text>L43- Ratio and Rate Total-Simplest Form (fraction)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Express {units[0]} to {units[2]} as a ratio or rate in simplest form when the ratio of {units[0]} to {units[1]} is&nbsp;{first} to&nbsp;{second}.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">{first} {units[0]} : {second} {units[1]}</p>
            </td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">{units[2]} = {=first+second}</p>
            </td>
            <td></td>
            <td>{first} + {second} = {=first+second}</td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black">{first} {units[0]}</td>
                        </tr>
                        <tr>
                            <td>{=first+second} {units[2]}</td>
                        </tr>
                    </tbody>
                </table><br>
            </td>
            <td></td>
            <td>Write the ratio for&nbsp;{units[0]} to {units[2]}</td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black">{first}÷{GCFb}</td>
                        </tr>
                        <tr>
                            <td>{=first+second}÷{GCFb}</td>
                        </tr>
                    </tbody>
                </table><br>
            </td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td>
            <td>Divide both numbers by the GCF&nbsp;<br>The GCF of {first} and {=first+second} is {GCFb}</td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black">{b} {units[0]}&nbsp;</td>
                        </tr>
                        <tr>
                            <td>{totb} {units[2]}</td>
                        </tr>
                    </tbody>
                </table><br>
            </td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[a={1:11:1};
b={2:11:1};
den={2:11:1};
units={["wins","loses","total games"],["loses","wins","total games"],["blue cars","grey cars","total cars"],["men","woman","people"],["youth tickets","adult tickets","total tickets"],["child tickets","adult tickets","total tickets"],["girls","boys","total students"],["cups sugar","cups water","total cups"]};]]></text>
</varsrandom>
<varsglobal><text>first=a*b;
second=b*den;
GCF=gcd(first,second);
a=first/GCF;
den=second/GCF;

b=first;
totb=first+second;
GCFb=gcd(b,totb);
b=first/GCFb;
totb=totb/GCFb;</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[b,totb]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((_0/_1 == b/totb) *.75)+ ((gcd(_0,_1) ==1) *.25)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table><tbody><tr><td style="border-bottom:1px solid black">{_0} {units[0]}</td></tr><tr><td>{_1} {units[2]}</td></tr></tbody></table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360238  -->
  <question type="formulas">
    <name>
      <text>L43- Ratio and Rate Total-Simplest Form (to)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Express {units[0]} to {units[2]} as a ratio or rate in simplest form when the ratio of {units[0]} to {units[1]} is&nbsp;{first} to&nbsp;{second}.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">{first} {units[0]} to {second} {units[1]}</p>
            </td>
            <td></td>
            <td>Given</td></tr><tr><td><p dir="ltr" style="text-align: left;">{units[2]} = {=first+second}</p>
            </td>
            <td></td>
            <td>{first} + {second} = {=first+second}</td>
        </tr><tr>
            <td>
                <p dir="ltr" style="text-align: left;">{first} {units[0]} to {=first+second} {units[2]}</p>
            </td>
            <td></td>
            <td>Write the ratio for&nbsp;{units[0]} to {units[2]}</td>
        </tr>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">\(\frac{{first}}{{GCFb}}\) to \(\frac{{=first+second}}{{GCFb}}\)</p>
            </td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td>
            <td>Divide both numbers by the GCF&nbsp;<br>The GCF of {first} and {=first+second} is {GCFb}</td>
        </tr>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">{b} {units[0]} to {totb} {units[2]}</p>
            </td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[a={1:11:1};
b={2:11:1};
den={2:11:1};
units={["wins","loses","total games"],["loses","wins","total games"],["blue cars","grey cars","total cars"],["men","woman","people"],["youth tickets","adult tickets","total tickets"],["child tickets","adult tickets","total tickets"],["girls","boys","total students"],["cups sugar","cups water","total cups"]};]]></text>
</varsrandom>
<varsglobal><text>first=a*b;
second=b*den;
GCF=gcd(first,second);
a=first/GCF;
den=second/GCF;

b=first;
totb=first+second;
GCFb=gcd(b,totb);
b=first/GCFb;
totb=totb/GCFb;</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[b,totb]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((_0/_1 == b/totb) *.5)+ ((gcd(_0,_1) ==1) *.5)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{_0} {units[0]} to {_1} {units[2]}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360236  -->
  <question type="formulas">
    <name>
      <text>L43- Ratio Reduced Form(Three forms)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Express the relationship {=numWord[ratio0]} {=scenario[0]} to {=numWord[ratio1]} {scenario[1]} as a ratio in reduced form. (Ratios should be left as an improper fraction)</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[ratio={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
scenario={["boys","girls"],["girls","boys"],["wins","loses"],["loses","wins"],["red marbles","green marbles"],["little fish","big fish"],["red fish","blue fish"],["pounds","weeks"],["inches","hours"],["km","hours"],["beats","minutes"],["miles","hours"]};]]></text>
</varsrandom>
<varsglobal><text><![CDATA[ratio0=ratio[0];
ratio1=ratio[1];
total=ratio0+ratio1;
numWord=["zero","one","two","three","four","five","six","seven","eight","nine","ten"];
GCF=gcd(ratio0,ratio1);
num1=ratio0/GCF;
num2=ratio1/GCF;
FB=pick(GCF>1,"The ratio is already reduced.  Dividing by 1 will not change the ratio.",join("","The GCF of ",ratio0," and ",ratio1," is ",GCF,". Divide both of numbers by the GCF to reduce the ratio."));]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>0.33</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ratio0,ratio1]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((gcd(_0,_1)==1)*.5) + ((_0/_1 == ratio0/ratio1)*.5)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table><tbody><tr><td style="text-align: center; border-bottom: 1px solid black;">{_0}</td></tr><tr><td style="text-align: center;">{_1}</td></tr></tbody></table>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{=numWord[ratio0]} {=scenario[0]} to {=numWord[ratio1]} {scenario[1]}<br></p>
<p dir="ltr" style="text-align: left;">The order of the relationship is important.&nbsp; &nbsp;Write {=scenario[0]} on the top and&nbsp;{=scenario[1]} on the bottom, or under the fraction bar.</p>
<p dir="ltr" style="text-align: left;">\(\frac{{ratio0} {=scenario[0]}}{{ratio1} {=scenario[1]}}\)<br>
</p><p></p>
<p dir="ltr" style="text-align: left;">{FB}</p>
<p dir="ltr" style="text-align: left;">\(\frac{{ratio0} ÷ {GCF}}{{ratio1} ÷ {GCF}}\)<br></p>
<p dir="ltr" style="text-align: left;">\(\frac{{num1}}{{num2}}\)</p>
<p dir="ltr" style="text-align: left;"><br></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>0.33</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ratio0,ratio1]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((gcd(_0,_1)==1)*.5) + ((_0/_1 == ratio0/ratio1)*.5)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{_0} : {_1}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{=numWord[ratio0]} {=scenario[0]} to {=numWord[ratio1]} {scenario[1]}<br></p><p dir="ltr" style="text-align: left;">The order of the relationship is important.&nbsp; &nbsp;Write {=scenario[0]} on the left and&nbsp;{=scenario[1]} on the right of the colon.</p><p dir="ltr" style="text-align: left;">{ratio0} {=scenario[0]} : {ratio1} {=scenario[1]}<br></p><p dir="ltr" style="text-align: left;">{FB}</p><p dir="ltr" style="text-align: left;">{ratio0} ÷ {GCF}&nbsp; : {ratio1} ÷ {GCF}<br></p><p dir="ltr" style="text-align: left;">{num1} : {num2}</p><p dir="ltr" style="text-align: left;"><br></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>2</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>0.34</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ratio0,ratio1]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((gcd(_0,_1)==1)*.5) + ((_0/_1 == ratio0/ratio1)*.5)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{_0} to {_1}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">{=numWord[ratio0]} {=scenario[0]} to {=numWord[ratio1]} {scenario[1]}<br></p><p dir="ltr" style="text-align: left;">The order of the relationship is important.&nbsp; &nbsp;Write {=scenario[0]} on the left and&nbsp;{=scenario[1]} on the right of the word "to".</p><p dir="ltr" style="text-align: left;">{ratio0} {=scenario[0]} to {ratio1} {=scenario[1]}<br></p><p dir="ltr" style="text-align: left;">{FB}</p><p dir="ltr" style="text-align: left;">{ratio0} ÷ {GCF}&nbsp; to {ratio1} ÷ {GCF}<br></p><p dir="ltr" style="text-align: left;">{num1} to {num2}</p><p dir="ltr" style="text-align: left;"><br></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360233  -->
  <question type="formulas">
    <name>
      <text>L43- Simplify to Unit Rate</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Express {first} {units[0]} {units[1]}&nbsp; {second} {units[2]}&nbsp;as a unit rate.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">{first} {units[0]} {units[1]}&nbsp; {second} {units[2]}</p>
            </td>
            <td></td>
            <td>Given</td>
        </tr><tr>
            <td>
                <p dir="ltr" style="text-align: left;">\(\frac{{first}}{{GCF}}\) : \(\frac{{second}}{{GCF}}\)</p>
            </td>
            <td></td>
            <td>Divide both numbers by {second} to make the denominator equal 1&nbsp;<br><br></td>
        </tr><tr>
            <td>
                <p dir="ltr" style="text-align: left;">{a} {units[0]} : {den} {units[2]}</p>
            </td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[a={1:11:1};
b={2:11:1};

units={["pounds","in","weeks"],["inches","in","hours"],["dollars","for","hours"],["dollars","in","days"],["km","in","hours"],["beats","in","minutes"],["miles","in","hours"],["cups","in","pound"],["mm","in","second"],["cycles","in","minutes"],["revolutions","in","years"]};]]></text>
</varsrandom>
<varsglobal><text>den=1;
first=a*b;
second=b*den;
GCF=gcd(first,second);
a=first/GCF;
den=second/GCF;</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
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  <text></text>
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  <text>1</text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">{_0} {units[0]} : {_1} {units[2]}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360234  -->
  <question type="formulas">
    <name>
      <text>L43- Simplify to Unit Rate (fraction)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Express {first} {units[0]} {units[1]}&nbsp; {second} {units[2]}&nbsp;as a unit rate.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;"></p>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black">{first} {units[0]}</td>
                        </tr>
                        <tr>
                            <td>{second} {units[2]}</td>
                        </tr>
                    </tbody>
                </table><br>
                <p></p>
            </td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td>
            <td>Given</td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black">{first} ÷ {GCF}</td>
                        </tr>
                        <tr>
                            <td>{second} ÷&nbsp;{GCF}</td>
                        </tr>
                    </tbody>
                </table><br>
            </td>
            <td></td>
            <td>Divide both numbers by {second} to make the denominator equal 1&nbsp;<br><br></td>
        </tr>
        <tr>
            <td>
               <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black">{a} {units[0]}</td>
                        </tr>
                        <tr>
                            <td>{den} {units[2]}</td>
                        </tr>
                    </tbody>
                </table><br>
            </td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[a={1:11:1};
b={2:11:1};

units={["pounds","in","weeks"],["inches","in","hours"],["dollars","for","hours"],["dollars","in","days"],["km","in","hours"],["beats","in","minutes"],["miles","in","hours"],["cups","in","pound"],["mm","in","second"],["cycles","in","minutes"],["revolutions","in","years"],["students","in","weeks"],["dollars","per","ride"],["dollars","per","dozen"],["meters","in","seconds"]};]]></text>
</varsrandom>
<varsglobal><text>den=1;
first=a*b;
second=b*den;
GCF=gcd(first,second);
a=first/GCF;
den=second/GCF;</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
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  <text>1</text>
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<text><![CDATA[<table><tbody><tr><td style="border-bottom:1px solid black">{_0} {units[0]}</td></tr><tr><td>{_1} {units[2]}</td></tr></tbody></table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L45 - Problem Solving- Draw a Graphs-Diagram/L45- Missing Values - Symbols</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360343  -->
  <question type="formulas">
    <name>
      <text>L45- Missing Values - Symbols</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Given the following equations, solve for the unknown amounts.</p>
<table><tbody><tr><td>Ω = {a}</td><td>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td><td>Ω - θ = {=a-b}</td></tr>
  <tr><td>θ +&nbsp;α = {=d}</td><td></td><td>&nbsp;α +&nbsp;α = {=c+c}</td></tr></tbody></table>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr style="border-bottom: 1px solid grey">
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td>Ω = {a}</td>
                            <td>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td>
                            <td>Ω - θ = {=a-b}</td>
                        </tr>
                        <tr>
                            <td>θ +&nbsp;α = {d}</td>
                            <td></td>
                            <td>&nbsp;α +&nbsp;α = {=c+c}</td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr style="border-bottom: 1px solid grey">
            <td>Ω = {a}</td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr style="border-bottom: 1px solid grey">
            <td>Ω - θ = {=a-b}<br>&nbsp;{a} - θ = {=a-b}<br><u>-{a}</u>&nbsp; &nbsp; &nbsp; &nbsp; <u>-{a}</u><br>&nbsp;<span class="" style="color: rgb(255, 204, 51);"> (-1)</span>(-θ) = <span class="" style="color: rgb(255, 204, 51);">(-1)</span>({=-1*b})<br>&nbsp;θ = {b}<br></td>
            <td></td>
            <td>Substitute&nbsp;Ω = {a}<br>Subtract {a} from both sides<br><span class="" style="color: rgb(255, 204, 51);">Multiply both sides by -1</span></td>
        </tr>
        <tr style="border-bottom: 1px solid grey">
            <td>&nbsp;α +&nbsp;α = {=c+c}<br>&nbsp; &nbsp; &nbsp; α = {c}<br></td>
            <td></td>
            <td>Since α added to itself is {=c+c}, <br>α must be half of {=c+c}, or {c}</td>
        </tr>
        <tr style="border-bottom: 1px solid grey">
            <td>Check the answer with the fourth equation:<br>
                θ +&nbsp;α = {d}
                <br>{b} + {c} ?= {d}<br>{=b+c} = {d}
            </td>
            <td></td>
            <td>Substitute θ ={b}, and α={c}</td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
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    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>a={6,7,8,9,10};
b={1,2,3,4,5};
c={1,2,3,4,5,6,7};</text>
</varsrandom>
<varsglobal><text>d=b+c;</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
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  <text></text>
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  <text>[a,b,c]</text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><p dir="ltr">Ω = {_0}</p><p dir="ltr">θ = {_1}<br></p><p dir="ltr">α&nbsp; = {_2}</p><br><p></p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360344  -->
  <question type="formulas">
    <name>
      <text>L45- Random Operations numbers Symbols</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td>{bfac}Ω = θ</td><td>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td><td>Ω + θ = {=a+b}</td></tr><tr><td>{k1} +&nbsp;α = {=k1+c}</td><td></td><td>&nbsp;Ω&nbsp; +&nbsp;α = {=a+c}</td></tr></tbody></table><br><p></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td>{bfac}Ω = θ</td>
                            <td>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td>
                            <td>Ω + θ = {=a+b}</td>
                        </tr>
                        <tr>
                            <td>{k1} +&nbsp;α = {=k1+c}</td>
                            <td></td>
                            <td>&nbsp;Ω&nbsp; +&nbsp;α = {=a+c}</td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr>
        </tr>
        <tr style="border-bottom:1px solid grey">
            <td>&nbsp; {k1} +&nbsp;α = {=k1+c}<br><span><u>-{k1}&nbsp; &nbsp; &nbsp; &nbsp; -{k1}</u><br>&nbsp; &nbsp; &nbsp; +&nbsp;α = {c}<br></span></td>
            <td></td>
            <td><br>The equation only has 1 variable.&nbsp; &nbsp;solve for&nbsp;α<br>Subtract {k1} from both sides<br>&nbsp;α = {c}<br><br></td>
        </tr>
        <tr>
        </tr>
        <tr style="border-bottom:1px solid grey">
            <td><br>Ω&nbsp; +&nbsp;α = {=a+c}<br>Ω&nbsp; +&nbsp;{c} = {=a+c}<br><u>&nbsp; &nbsp; &nbsp;- {c}&nbsp; &nbsp; &nbsp;- {c}</u><br>Ω&nbsp; &nbsp; &nbsp; &nbsp;= {=a}<br><br></td>
            <td></td>
            <td>Since&nbsp;α = {c}, Substitute the value of&nbsp;α, <br>then solve for&nbsp;Ω&nbsp;&nbsp;<br><span>&nbsp;Subtract {c} form both sides<br></span>Ω&nbsp; &nbsp; &nbsp; &nbsp;= {=a}<br></td>
        </tr>
        <tr>
        </tr>
        <tr style="border-bottom:1px solid grey">
            <td><br><span><span style="">{bfac}Ω</span> =</span><span><span><span> θ</span></span><br>{bfac}({a}) =&nbsp;&nbsp;θ<br>{b} =&nbsp;&nbsp;&nbsp;θ<br><br></span></td>
            <td></td>
            <td>Since&nbsp;Ω = {=a}, Substitute the value of&nbsp;Ω in <br>parentheses to show multiplication, then solve for&nbsp;θ<br>{bfac} times {a} = {b}<br><br></td>
        </tr>
        <tr>
        </tr>
        <tr style="border-bottom:1px solid grey">
            <td>Ω + θ = {=a+b}<br>{a} + {b} = {=a+b}<br>{=a+b} = {=a+b}</td>
            <td></td>
            <td>Substitute θ = {b} and&nbsp;Ω = {a} to check the answers.</td>
        </tr>
        <tr>
        </tr>
        <tr>
            <td></td>
            <td></td>
            <td><br></td>
        </tr>
        <tr></tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>a={1,2,3,4,5,6,7,8,9,10};
bfac={2,3,4,5,6};
c={2,3,4,5,6,7,8,9,10};
#constants
k1={1:10:1};
k2={1:10:1};</text>
</varsrandom>
<varsglobal><text>b=a*bfac;</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
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<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><p dir="ltr">Ω = {_0}</p><p dir="ltr">θ = {_1}<br></p><p dir="ltr">α&nbsp; = {_2}</p><br><br><p></p>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L47 - Area and Perimeter of a parallelogram/L47- Area of a Parallelogram</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360375  -->
  <question type="formulas">
    <name>
      <text>L47 - Area of a Parallelogram</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>The figure is not drawn to scale</p>
<jsxgraph width="300" height="300">
    var board = JXG.JSXGraph.initBoard(BOARDID,{
    axis:false,
    grid:false,
    boundingbox: [-2,10,10,-2],
    showCopyright: false,
    showNavigation: false,
    keepaspectratio:true});
    var p1=board.create('point',[0+{lenOS},0],{size:0,name:''});
    var plen=board.create('point',[{length},0],{size:0,name:''});
    var pWid=board.create('point',[0,{width}],{size:0,name:''});
    var plenWid=board.create('point',[{length}-{lenOS},{width}],{size:0,name:''});
    var plw=board.create('point',[{length},{width}],{size:0,name:''});
    var lHeight =board.create('line',[plen,plw],{straightFirst:false,straightLast:false,strokeColor:'#000000',dash:2});
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    var rect=board.create('polygon',[p1,plen,plenWid,pWid],{fillColor:'{color}'});
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    var tSide=board.create('text',[{length}+.15,{width}/2,"{width} {unit}"],{anchorX:'left',anchorY:'middle',fontSize:15});
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td colspan="3">The area or a parallelogram= base times height</td></tr><tr><td>A = bh</td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td><td>&nbsp;Formulas are usually written with the abbreviations&nbsp; A is area = b means base and h means height</td></tr><tr><td>A = ({base})({width})</td><td></td><td>&nbsp;&nbsp; Use parentheses to show multiplication</td></tr><tr><td>A = {area} square {unit}</td><td></td><td>Use square units for area.&nbsp; You are finding the number of square units inside of the polygon.</td></tr></tbody></table><p dir="ltr"><br></p><br><br><p></p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[color={"red","blue","orange","purple","pink","brown","aqua"};
length={5:8:1};
lenOS={.10:.90:.05};
width={2:10:1};
unit={"feet","inches","cm","meters","km","mm","yards"};]]></text>
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<varsglobal><text><![CDATA[units=[unit,join("","square ",unit),join("","cubic ",unit)];
lenOS=(length*lenOS);
side=round(pow(length*length+width*width,.5),1);
base=round(length-lenOS,0);
area = base*width;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
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<script>
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                                  defaultWidth   default width of the box
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                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
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                                  family            family of the font, eg. "Times New Roman", Times, serif
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        } else {
            $(".formulas_number").width(defaultWidth);
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    $(document).ready(function() {
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<text></text>
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<text></text>
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</answers>
  </question>

<!-- question: 360380  -->
  <question type="formulas">
    <name>
      <text>L47 - Area of a Parallelogram</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>The figure is not drawn to scale</p>
<jsxgraph width="300" height="300">
    var board = JXG.JSXGraph.initBoard(BOARDID,{
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    grid:false,
    boundingbox: [-2,10,10,-2],
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</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td colspan="3">The area or a parallelogram= base times height</td></tr><tr><td>A = bh</td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td><td>&nbsp;Formulas are usually written with the abbreviations&nbsp; A is area = b means base and h means height</td></tr><tr><td>A = ({base})({width})</td><td></td><td>&nbsp;&nbsp; Use parentheses to show multiplication</td></tr><tr><td>A = {area} square feet</td><td></td><td>Use square units for area.&nbsp; You are finding the number of square units inside of the polygon.</td></tr></tbody></table><p dir="ltr"><br></p><br><br><p></p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
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      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[color={"red","blue","orange","purple","pink","brown","aqua"};
length={5:8:1};
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<text><![CDATA[<p dir="ltr" style="text-align: left;">Area = {_0} {_1:units:MCE}</p><script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
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                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
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    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
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        var size = $(".formulas_number").css('font-size');
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        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
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        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
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    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
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<text></text>
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<text></text>
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<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360376  -->
  <question type="formulas">
    <name>
      <text>L47 - Area of a Parallelogram (height on left)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>The figure is not drawn to scale<br>The base={base} and the height={width}.</p>
<jsxgraph width="300" height="300">
    var board = JXG.JSXGraph.initBoard(BOARDID,{
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    grid:false,
    boundingbox: [-2,10,10,-2],
    showCopyright: false,
    showNavigation: false,
    keepaspectratio:true});
    var p1=board.create('point',[0+{lenOS},0],{size:0,name:''});
    var plen=board.create('point',[{length},0],{size:0,name:''});
    var pWid=board.create('point',[0,{width}],{size:0,name:''});
    var plenWid=board.create('point',[{length}-{lenOS},{width}],{size:0,name:''});
    var plw=board.create('point',[{length},{width}],{size:0,name:''});
    var lHeight =board.create('line',[[0,0],pWid],{straightFirst:false,straightLast:false,strokeColor:'#000000',dash:2});
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    var rect=board.create('polygon',[p1,plen,plenWid,pWid],{fillColor:'{color}'});
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</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td colspan="3">The area or a parallelogram= base times height</td></tr><tr><td>A = bh</td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td><td>&nbsp;Formulas are usually written with the abbreviations&nbsp; A is area = b means base and h means height</td></tr><tr><td>A = ({length})({width})</td><td></td><td>&nbsp;&nbsp; Use parentheses to show multiplication</td></tr><tr><td>A = {area} square {unit}</td><td></td><td>Use square units for area.&nbsp; You are finding the number of square units inside of the polygon.</td></tr></tbody></table><p dir="ltr"><br></p><br><br><p></p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[length={3:10:1};
lenOS={.10:.90:.05};
width={2:10:1};
color={"red","blue","orange","purple","pink","brown","aqua"};
unit={"feet","inches","cm","meters","km","mm","yards"};]]></text>
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base=round(length-lenOS,0);
area = base*width;]]></text>
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<answernumbering><text>abc</text>
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  <text></text>
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 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">Area = {_0} {_1:units:MCE}</p><script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360377  -->
  <question type="formulas">
    <name>
      <text>L47 - Area of a Parallelogram (move top left and bottom right) (copy) (copy)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>The figure is not drawn to scale</p>
<jsxgraph width="300" height="300">
    var board = JXG.JSXGraph.initBoard(BOARDID,{
    axis:false,
    grid:false,
    boundingbox: [-1,10,10,-1],
    showCopyright: false,
    showNavigation: false,
    keepaspectratio:true});
    var p1=board.create('point',[0,0],{size:0,name:'',fixed:true,showInfobox:false});
    var plen=board.create('point',[{length}-{lenOS},0],{size:0,name:'',fixed:true,showInfobox:false});
    var pWid=board.create('point',[{lenOS},{width}],{size:0,name:'',fixed:true,showInfobox:false});
    var plenWid=board.create('point',[{length},{width}],{size:0,name:'',fixed:true,showInfobox:false});
    var plw=board.create('point',[{length},{width}],{size:0,name:'',fixed:true,showInfobox:false});
    var lHeight =board.create('line',[[{length},0],plw],{straightFirst:false,straightLast:false,strokeColor:'#000000',dash:2});
    var lupper =board.create('line',[[{length}-{lenOS},0],[{length},0]],{straightFirst:false,straightLast:false,strokeColor:'#000000',dash:2});


    var rect=board.create('polygon',[p1,plen,plenWid,pWid],{fillColor:'{color}',strokeColor:'#000000'});
    var tLen=board.create('text',[({length}-{lenOS})/2,-.15,"{base} {unit}"],{anchorX:'left',anchorY:'top',fontSize:15,strokeColor:'#0000ff'});
    var tWid=board.create('text',[0,{width}/2,"{side} {unit}"],{anchorX:'left',anchorY:'middle',fontSize:15,strokeColor:'#0000ff'});

    var tSide=board.create('text',[{length}+.15,{width}/2,"{width} {unit}"],{anchorX:'left',anchorY:'middle',fontSize:15});
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td colspan="3">The area or a parallelogram= base times height</td></tr><tr><td>A = bh</td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td><td>&nbsp;Formulas are usually written with the abbreviations&nbsp; A is area = b means base and h means height</td></tr><tr><td>A = ({base})({width})</td><td></td><td>&nbsp;&nbsp; Use parentheses to show multiplication</td></tr><tr><td>A = {area} square feet</td><td></td><td>Use square units for area.&nbsp; You are finding the number of square units inside of the polygon.</td></tr></tbody></table><p dir="ltr"><br>

</p><br><p></p>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[length={3:8:.1};
lenOS={.10:.90:.05};
width={2:10:.1};
color={"red","blue","orange","purple","pink","brown","aqua"};
unit={"feet","inches","cm","meters","km","mm","yards"};]]></text>
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base=round(length-lenOS,1);


area = base*width;
units=[unit,join("","square ",unit),join("","cubic ",unit)];

side=round(pow(length*length+width*width,.5),1);]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
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  <text>0</text>
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  <text>1</text>
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  <text>0</text>
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 <numbox>
  <text>2</text>
 </numbox>
 <vars1>
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 </vars1>
 <answer>
  <text>[area,1]</text>
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  <text></text>
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  <text><![CDATA[((abs(area-_0)<0.01)*.9) + ((_1==1)*.1)]]></text>
 </correctness>
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 <otherrule>
  <text></text>
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 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">Area = {_0} {_1:units:MCE}</p><script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
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    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
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</script>]]></text>
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 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360378  -->
  <question type="formulas">
    <name>
      <text>L47 - Area of a Parallelogram(move bottom only)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>The figure is not drawn to scale</p>
<jsxgraph width="300" height="300">
    var board = JXG.JSXGraph.initBoard(BOARDID,{
    axis:false,
    grid:false,
    boundingbox: [-1,10,10,-1],
    showCopyright: false,
    showNavigation: false,
    keepaspectratio:true});
    var p1=board.create('point',[0+{lenOS},0],{size:0,name:'',fixed:true});
    var plen=board.create('point',[{length}+{lenOS},0],{size:0,name:'',fixed:true});
    var pWid=board.create('point',[0,{width}],{size:0,name:'',fixed:true});
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    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td colspan="3">The area or a parallelogram= base times height</td></tr><tr><td>A = bh</td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td><td>&nbsp;Formulas are usually written with the abbreviations&nbsp; A is area = b means base and h means height</td></tr><tr><td>A = ({length})({width})</td><td></td><td>&nbsp;&nbsp; Use parentheses to show multiplication</td></tr><tr><td>A = {area} square feet</td><td></td><td>Use square units for area.&nbsp; You are finding the number of square units inside of the polygon.</td></tr></tbody></table><p dir="ltr"><br></p><br><br><p></p>]]></text>
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<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L47 - Area and Perimeter of a parallelogram/L47- Perimeter of a Parallelogram</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360382  -->
  <question type="formulas">
    <name>
      <text>TL47 -Perimeter of a Parallelogram (move bottom left and top right) (copy) (copy) (copy)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>The figure is not drawn to scale</p>
<p>The side of the parallelogram = {side} {unit}, the base = {base} {unit}, and the height = {width} {unit}</p>
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</jsxgraph>]]></text>
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    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"></p>
<table>
    <tbody>
        <tr>
            <td colspan="3">The perimeter of a parallelogram is the sum of the distance of each side</td>
        </tr>
        <tr>
            <td>P = side + side + base + base<br><span class="" style="color: rgb(255, 51, 102);">P=s+s+b+b</span><br><span class="" style="color: rgb(51, 102, 255);">P = 2s + 2b</span></td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td>
            <td>&nbsp;<span class="" style="color: rgb(255, 51, 102);">Formulas are usually written with the abbreviations&nbsp; A is area = s means side, b means base and h means height<br><span class="" style="color: rgb(51, 102, 255);">side + side is the same as 2s (2 times the side) and base + base is the same as 2b (2 times the base)</span></span></td>
        </tr>
        <tr>
            <td>P = 2({side})+2({base})</td>
            <td></td>
            <td>&nbsp;&nbsp; Use parentheses to show multiplication</td>
        </tr><tr>
            <td>P = <span class="" style="color: rgb(184, 138, 0);">{=2*side}</span>+<span class="" style="color: rgb(152, 202, 62);">{=2*base}</span></td>
            <td></td>
            <td><span class="" style="color: rgb(184, 138, 0);">&nbsp;2({side}) =&nbsp;{=2*side}</span>&nbsp; &nbsp;and&nbsp;<span class="" style="color: rgb(152, 202, 62);">2({base}) =&nbsp;{=2*base}</span></td>
        </tr>
        <tr>
            <td>P = {perimeter}&nbsp; {unit}</td>
            <td></td>
            <td>Perimeter is the distance around a figure.&nbsp; Since a ruler is used to measure distance, use {unit}.</td>
        </tr>
    </tbody>
</table>
<p dir="ltr"><br>

</p><br>
<p></p>]]></text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">Perimeter= {_0} {_1:units:MCE}</p><script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
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                                  actualWidth    width of the input
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                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
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 <incorrectfeedback format="html">
<text></text>
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  </question>

<!-- question: 360381  -->
  <question type="formulas">
    <name>
      <text>TL47 Perimeter of a Parallelogram (move top left and bottom right) (copy) (copy) (copy) (copy) (copy)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>The figure is not drawn to scale</p><p>The side of the parallelogram = {side} {unit}, the base = {base} {unit}, and the height = {width} {unit}</p>
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    boundingbox: [-1,10,10,-1],
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    var pWid=board.create('point',[{lenOS},{width}],{size:0,name:'',fixed:true,showInfobox:false});
    var plenWid=board.create('point',[{length},{width}],{size:0,name:'',fixed:true,showInfobox:false});
    var plw=board.create('point',[{length},{width}],{size:0,name:'',fixed:true,showInfobox:false});
    var lHeight =board.create('line',[[{length},0],plw],{straightFirst:false,straightLast:false,strokeColor:'#00ff00',dash:2});
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    var rect=board.create('polygon',[p1,plen,plenWid,pWid],{fillColor:'#F7CFD1',strokeColor:'#ff1616'});
    var tLen=board.create('text',[({length}-{lenOS})/2,-.15,"{base} {unit}"],{anchorX:'left',anchorY:'top',fontSize:15,strokeColor:'#0000ff'});
    var tWid=board.create('text',[0,{width}/2,"{side} {unit}"],{anchorX:'left',anchorY:'middle',fontSize:15,strokeColor:'#0000ff'});

    var tSide=board.create('text',[{length}+.15,{width}/2,"{width} {unit}"],{anchorX:'left',anchorY:'middle',fontSize:15});
</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"></p>
<table>
    <tbody>
        <tr>
            <td colspan="3">The perimeter of a parallelogram is the sum of the distance of each side</td>
        </tr>
        <tr>
            <td>P = side + side + base + base<br><span class="" style="color: rgb(255, 51, 102);">P=s+s+b+b</span><br><span class="" style="color: rgb(51, 102, 255);">P = 2s + 2b</span></td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</td>
            <td>&nbsp;<span class="" style="color: rgb(255, 51, 102);">Formulas are usually written with the abbreviations&nbsp; A is area = s means side, b means base and h means height<br><span class="" style="color: rgb(51, 102, 255);">side + side is the same as 2s (2 times the side) and base + base is the same as 2b (2 times the base)</span></span></td>
        </tr>
        <tr>
            <td>P = 2({side})+2({base})</td>
            <td></td>
            <td>&nbsp;&nbsp; Use parentheses to show multiplication</td>
        </tr><tr>
            <td>P = <span class="" style="color: rgb(184, 138, 0);">{=2*side}</span>+<span class="" style="color: rgb(152, 202, 62);">{=2*base}</span></td>
            <td></td>
            <td><span class="" style="color: rgb(184, 138, 0);">&nbsp;2({side}) =&nbsp;{=2*side}</span>&nbsp; &nbsp;and&nbsp;<span class="" style="color: rgb(152, 202, 62);">2({base}) =&nbsp;{=2*base}</span></td>
        </tr>
        <tr>
            <td>P = {perimeter}&nbsp; {unit}</td>
            <td></td>
            <td>Perimeter is the distance around a figure.&nbsp; Since a ruler is used to measure distance, use {unit}.</td>
        </tr>
    </tbody>
</table>
<p dir="ltr"><br>

</p><br>
<p></p>]]></text>
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base=round(length-lenOS,1);
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side=round(pow(length*length+width*width,.5),1);
perimeter=2*side+2*base;]]></text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">Perimeter= {_0} {_1:units:MCE}</p><script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
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                                                       note that the size of the font can be defined in any units,
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  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L48 - Multiplying Fractions/L48- frac time Mixed</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360438  -->
  <question type="formulas">
    <name>
      <text>L48- Mult-frac times mixed- ans mixed</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply \(\frac{{num1}}{{den1}}\) and&nbsp;{whole1}\(\frac{{num2}}{{den2}}\)</p><p dir="ltr" style="text-align: left;">(Leave the answer as an improper fraction.)</p>]]></text>
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    <generalfeedback format="html">
      <text><![CDATA[<table style="text-align: center;">
    <tbody>
        <tr>
            <td>\(\frac{{num1}}{{den1}}\) and&nbsp;{whole1}\(\frac{{num2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Given<br><br></td>
        </tr>
        <tr></tr>
        <tr>
            <td>\(\frac{{num1}}{{den1}}\) and&nbsp;\(\frac{{impNum2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Change the mixed number to an improper fraction<br><br></td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{num1}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{impNum2}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{prodNum}</span></td>
                        </tr>
                        <tr>
                            <td><span class="" style="color: rgb(152, 202, 62);">{den1}</span></td>

                            <td><span class="" style="color: rgb(152, 202, 62);">{den2}</span></td>
                            <td><span class="" style="color: rgb(152, 202, 62);">{prodDen}</span></td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td></td>
            <td><br>To multiply fractions:<br>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(255, 51, 102);">1: multiply the numerators</span><br><span class="" style="color: rgb(152, 202, 62);">2: multiply the denominators</span></div>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(152, 202, 62);"><br></span></div>
            </td>
        </tr>
        <tr>
            <td colspan="4"><strong>Simplify the answer</strong></td>

        </tr>
        <tr>
            <td>{ansWh}\(\frac{{redNum}}{{prodDen}}\)</td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;</td>
            <td><br>{FB}<br>{prodDen} can divide into {prodNum}, {ansWh} times with {redNum} left over.<br><br></td>
        </tr>
        
        <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{prodDen}÷{GCF}}\)</td>
            <td></td>
            <td><br>The GCF (greatest Common Factor) of {redNum} and {prodDen} is {GCF}.&nbsp; &nbsp;Divide the numerator and denominator by {GCF}&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><strong>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)</strong></td>
            <td></td>
            <td><br>Simplify<br><br></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>whole1={2:11:1};
fraction0={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};</text>
</varsrandom>
<varsglobal><text><![CDATA[num1=fraction0[0];
den1=fraction0[1];

num2=fraction1[0];
den2=fraction1[1];
impNum2=den2*whole1+num2;

prodNum=impNum2*num1;
prodDen=den1*den2;
FB=pick(prodNum>prodDen,"The fraction is a proper fraction, therefore write one for the whole number.  (The fraction is less than 1.)","The product is an improper fraction.   Write the answer as a mixed number.");
ansWh=(prodNum>prodDen)?floor(prodNum/prodDen):0;
redNum=prodNum-(ansWh*prodDen);

GCF=gcd(redNum,prodDen);
ansNum=redNum/GCF;
ansDen=prodDen/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((_0==ansWh)*.1)+ (((_1/_2)==(ansNum/ansDen))*.6)  + ((gcd(_1,_2)==1)*.3)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td rowspan="2"><br></td>
            <td style="border-bottom:1px solid black">{num1}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;x {whole1}</td>
            <td style="border-bottom:1px solid black">{num2}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
            <td rowspan="2" style="text-align: right;">{_0}
            </td>
            <td style="border-bottom:1px solid black">{_1}</td>
        </tr>
        <tr>
            <td>{den1}</td>

            <td>{den2}</td>
            <td>{_2}</td>
        </tr>
    </tbody>
</table>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360439  -->
  <question type="formulas">
    <name>
      <text>L48- Mult-Mix-Fraction-Ans Mixed</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply {whole1}\(\frac{{num1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)</p><p dir="ltr" style="text-align: left;">(Leave the answer as an improper fraction.)</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table style="text-align: center;">
    <tbody>
        <tr>
            <td>{whole1}\(\frac{{num1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Given<br><br></td>
        </tr>
        <tr></tr>
        <tr>
            <td>\(\frac{{impNum1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Change the mixed number to an improper fraction<br><br></td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{impNum1}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{num2}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{prodNum}</span></td>
                        </tr>
                        <tr>
                            <td><span class="" style="color: rgb(152, 202, 62);">{den1}</span></td>

                            <td><span class="" style="color: rgb(152, 202, 62);">{den2}</span></td>
                            <td><span class="" style="color: rgb(152, 202, 62);">{prodDen}</span></td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td></td>
            <td><br>To multiply fractions:<br>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(255, 51, 102);">1: multiply the numerators</span><br><span class="" style="color: rgb(152, 202, 62);">2: multiply the denominators</span></div>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(152, 202, 62);"><br></span></div>
            </td>
        </tr>
        <tr>
            <td colspan="4"><strong>Simplify the answer</strong></td>

        </tr>
        <tr>
            <td>{ansWh}\(\frac{{redNum}}{{prodDen}}\)</td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;</td>
            <td><br>{FB}<br>{prodDen} can divide into {prodNum}, {ansWh} times with {redNum} left over.<br><br></td>
        </tr>
        
        <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{prodDen}÷{GCF}}\)</td>
            <td></td>
            <td><br>The GCF (greatest Common Factor) of {redNum} and {prodDen} is {GCF}.&nbsp; &nbsp;Divide the numerator and denominator by {GCF}&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><strong>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)</strong></td>
            <td></td>
            <td><br>Simplify<br><br></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>whole1={2:11:1};
fraction0={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};</text>
</varsrandom>
<varsglobal><text><![CDATA[num1=fraction0[0];

den1=fraction0[1];
impNum1=den1*whole1+num1;
num2=fraction1[0];
den2=fraction1[1];
prodNum=impNum1*num2;
prodDen=den1*den2;
FB=pick(prodNum>prodDen,"The fraction is a proper fraction, therefore write one for the whole number.  (The fraction is less than 1.)","The product is an improper fraction.   Write the answer as a mixed number.");
ansWh=(prodNum>prodDen)?floor(prodNum/prodDen):0;
redNum=prodNum-(ansWh*prodDen);

GCF=gcd(redNum,prodDen);
ansNum=redNum/GCF;
ansDen=prodDen/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((_0==ansWh)*.1)+ (((_1/_2)==(ansNum/ansDen))*.6)  + ((gcd(_1,_2)==1)*.3)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td rowspan="2">{whole1}</td>
            <td style="border-bottom:1px solid black">{num1}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
            <td style="border-bottom:1px solid black">{num2}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
            <td rowspan="2" style="text-align: right;">{_0}
            </td>
            <td style="border-bottom:1px solid black">{_1}</td>
        </tr>
        <tr>
            <td>{den1}</td>

            <td>{den2}</td>
            <td>{_2}</td>
        </tr>
    </tbody>
</table>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
    /*
                                  actualWidth    width of the input
                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
                                  c, ctx             see https://www.w3schools.com/tags/canvas_measuretext.asp
                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
        var family = $(".formulas_number").css('font-family');
        var c = document.getElementById("canvas_1");
        var ctx = c.getContext("2d");
        ctx.font = size + " " + family;
        var actualWidth = ctx.measureText(txt).width;
        var checkWidth = defaultWidth - sizeN;
        if (actualWidth >= checkWidth) {
            $(".formulas_number").width(actualWidth + sizeN);
        } else {
            $(".formulas_number").width(defaultWidth);
        }
    }
    $(document).ready(function() {
        $(".formulas_number").css("padding-left", "10px");
        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
        });
    });
</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360440  -->
  <question type="formulas">
    <name>
      <text>L48- Mult-mixed times mixed- ans mixed</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply {whole0}\(\frac{{num1}}{{den1}}\) and&nbsp;{whole1}\(\frac{{num2}}{{den2}}\)</p><p dir="ltr" style="text-align: left;">(Leave the answer as an improper fraction.)</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table style="text-align: center;">
    <tbody>
        <tr>
            <td>\(\frac{{num1}}{{den1}}\) and&nbsp;{whole1}\(\frac{{num2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Given<br><br></td>
        </tr>
        <tr></tr>
        <tr>
            <td>\(\frac{{impNum1}}{{den1}}\) and&nbsp;\(\frac{{impNum2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Change the mixed numbers to improper fractions<br><br></td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{impNum1}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{impNum2}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{prodNum}</span></td>
                        </tr>
                        <tr>
                            <td><span class="" style="color: rgb(152, 202, 62);">{den1}</span></td>

                            <td><span class="" style="color: rgb(152, 202, 62);">{den2}</span></td>
                            <td><span class="" style="color: rgb(152, 202, 62);">{prodDen}</span></td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td></td>
            <td><br>To multiply fractions:<br>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(255, 51, 102);">1: multiply the numerators</span><br><span class="" style="color: rgb(152, 202, 62);">2: multiply the denominators</span></div>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(152, 202, 62);"><br></span></div>
            </td>
        </tr>
        <tr>
            <td colspan="4"><strong>Simplify the answer</strong></td>

        </tr>
        <tr>
            <td>{ansWh}\(\frac{{redNum}}{{prodDen}}\)</td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;</td>
            <td><br>{FB}<br>{prodDen} can divide into {prodNum}, {ansWh} times with {redNum} left over.<br><br></td>
        </tr>
        
        <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{prodDen}÷{GCF}}\)</td>
            <td></td>
            <td><br>The GCF (greatest Common Factor) of {redNum} and {prodDen} is {GCF}.&nbsp; &nbsp;Divide the numerator and denominator by {GCF}&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><strong>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)</strong></td>
            <td></td>
            <td><br>Simplify<br><br></td>
        </tr>
    </tbody>
</table>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>whole0={1:4:1};
whole1={1:4:1};
fraction0={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};</text>
</varsrandom>
<varsglobal><text><![CDATA[num1=fraction0[0];
den1=fraction0[1];
impNum1=den1*whole0+num1;
num2=fraction1[0];
den2=fraction1[1];
impNum2=den2*whole1+num2;

prodNum=impNum2*impNum1;
prodDen=den1*den2;
FB=pick(prodNum>prodDen,"The fraction is a proper fraction, therefore write one for the whole number.  (The fraction is less than 1.)","The product is an improper fraction.   Write the answer as a mixed number.");
ansWh=(prodNum>prodDen)?floor(prodNum/prodDen):0;
redNum=prodNum-(ansWh*prodDen);

GCF=gcd(redNum,prodDen);
ansNum=redNum/GCF;
ansDen=prodDen/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((_0==ansWh)*.1)+ (((_1/_2)==(ansNum/ansDen))*.6)  + ((gcd(_1,_2)==1)*.3)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td rowspan="2">{whole0}</td>
            <td style="border-bottom:1px solid black">{num1}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;x {whole1}</td>
            <td style="border-bottom:1px solid black">{num2}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
            <td rowspan="2" style="text-align: right;">{_0}
            </td>
            <td style="border-bottom:1px solid black">{_1}</td>
        </tr>
        <tr>
            <td>{den1}</td>

            <td>{den2}</td>
            <td>{_2}</td>
        </tr>
    </tbody>
</table>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script>
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                                  checkWidth     width at which the box becomes wider
                                  defaultWidth   default width of the box
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                                  size               size of the font w/ px, e.g. '14 px'
                                                       note that the size of the font can be defined in any units,
                                                      e.g. small, medium, xx-large, 150%, 1.25cm, 22px
                                                      since it is always transformed into px units
                                  sizeN              size of the font w/o px, e.g. '14'
                                  family            family of the font, eg. "Times New Roman", Times, serif
                                  txt                 text of the input, e.g. '123456'
                */
    var defaultWidth = 30;
    document.write('<canvas id="canvas_1" style="display: none;"></canvas>');

    function newWidth() {
        var txt = $(".formulas_number").val();
        var size = $(".formulas_number").css('font-size');
        var sizeN = Number(size.substring(0, size.length - 2));
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        newWidth();
        $(".formulas_number").keyup(function() {
            newWidth();
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</script>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
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<text></text>
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<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360444  -->
  <question type="formulas">
    <name>
      <text>L48- Multiply frac times Mixed</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply:&nbsp; (\(\frac{{num}}{{den}}\))({whole1}\(\frac{{num1}}{{den1}}\))</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>&nbsp;(\(\frac{{num}}{{den}}\))({whole1}\(\frac{{num1}}{{den1}}\)) =&nbsp;</td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr>
            <td>
                (\(\frac{{impNum}}{{den}}\))&nbsp;(\(\frac{{impNum1}}{{den1}}\))</td>
            <td></td><td><div class="editor-indent" style="margin-left: 30px;">&nbsp;</div><div class="editor-indent" style="margin-left: 30px;"><br></div>Write {whole1}\(\frac{{num1}}{{den1}}\) as a fraction.<br>To write a mixed number as a fraction:<br><div>{den1} times {whole1} + {num1} is the numerator<br>keep the same denominator, {den}</div><div>{whole1}\(\frac{{num1}}{{den1}}\) = (\(\frac{{impNum1}}{{den1}}\))&nbsp;</div><br>
            </td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}}{{prodDen}}\)&nbsp;<br></td>
            <td></td>
            <td><br>Multiply the numerators, Multiply the denominators.<br>\(\frac{{impNum}x{impNum1}}{{den}x {den1}}\)&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><br>{ansWh}\(\frac{{redNum}}{{prodDen}}\)&nbsp;</td>
            <td></td>
            <td><br>Simplify the Fraction<br>{prodDen} goes into {prodNum}, {ansWh} times.<br>{redNum} are left over.&nbsp; Write {redNum} in the numerator.<br>keep the same denominator ({prodDen}).<br><br></td>
        </tr>
        <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{prodDen}÷{GCF}}\)&nbsp;</td>
            <td></td>
            <td><br>The GCF of the numerator and denominator is {GCF}.<br>Divide the numerator and denominator both by {GCF}.<br><br></td>
        </tr>
        <tr>
            <td>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)&nbsp;</td>
            <td></td>
            <td>Simplify</td>
        </tr>
        <tr>
            <td></td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table><br>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>fraction={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole={1:5:1};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole1={1:5:1};
</text>
</varsrandom>
<varsglobal><text><![CDATA[whole=0; #first number is currently just a fraction

#fraction 0
whole=whole;
num=fraction[0];
den=fraction[1];
impNum=den*whole+num;

#fraction1
whole1=whole1;
num1=fraction1[0];
den1=fraction1[1];
impNum1=den1*whole1+num1;

prodNum=impNum*impNum1;
prodDen=den*den1;
ansWh=(prodNum>prodDen)?floor(prodNum/prodDen):0;
redNum=prodNum-(ansWh*prodDen);
GCF=gcd(redNum,prodDen);
ansNum=redNum/GCF;
ansDen=prodDen/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((((ansWh*ansDen+ansNum)/ansDen)==((_0*_2+_1))/_2)*.8) + ((gcd(_1,_2)==1)*.15)+ ((_0 == ansWh)*.05)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">&nbsp;(\(\frac{{num}}{{den}}\))({whole1}\(\frac{{num1}}{{den1}}\))=&nbsp;</p>
            </td>
          <td rowspan="2" style="text-align: right;">{_0}</td>  
          <td style="border-bottom: 1px solid black">{_1}</td>
           
        </tr>
        <tr>
            <td></td>
            
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360442  -->
  <question type="formulas">
    <name>
      <text>L48- Multiply mix times frac</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply:&nbsp; ({whole}\(\frac{{num}}{{den}}\))(\(\frac{{num1}}{{den1}}\))</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>&nbsp;({whole}\(\frac{{num}}{{den}}\))(\(\frac{{num1}}{{den1}}\)) =&nbsp;</td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr>
            <td>
                (\(\frac{{impNum}}{{den}}\))&nbsp;(\(\frac{{impNum1}}{{den1}}\))</td>
            <td></td>
            <td><br>Write {whole}\(\frac{{num}}{{den}}\) as a fraction.<br>To write a mixed number as a fraction:<br>
                <div class="editor-indent" style="margin-left: 30px;">{den} times {whole} + {num} is the numerator<br>keep the same denominator, {den}</div><div class="editor-indent" style="margin-left: 30px;">{whole}\(\frac{{num}}{{den}}\) = (\(\frac{{impNum}}{{den}}\))&nbsp;</div><br>
            </td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}}{{prodDen}}\)&nbsp;<br></td>
            <td></td>
            <td><br>Multiply the numerators, Multiply the denominators.<br>\(\frac{{impNum}x{impNum1}}{{den}x {den1}}\)&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><br>{ansWh}\(\frac{{redNum}}{{prodDen}}\)&nbsp;</td>
            <td></td>
            <td><br>Simplify the Fraction<br>{prodDen} goes into {prodNum}, {ansWh} times.<br>{redNum} are left over.&nbsp; Write {redNum} in the numerator.<br>keep the same denominator ({prodDen}).<br><br></td>
        </tr>
        <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{prodDen}÷{GCF}}\)&nbsp;</td>
            <td></td>
            <td><br>The GCF of the numerator and denominator is {GCF}.<br>Divide the numerator and denominator both by {GCF}.<br><br></td>
        </tr>
        <tr>
            <td>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)&nbsp;</td>
            <td></td>
            <td>Simplify</td>
        </tr>
        <tr>
            <td></td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table><br>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>fraction={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole={2:10:1};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole1={2:21:1};
</text>
</varsrandom>
<varsglobal><text><![CDATA[whole1=0; #second number is currently just a fraction

#fraction 0
whole=whole;
num=fraction[0];
den=fraction[1];
impNum=den*whole+num;

#fraction1
whole1=whole1;
num1=fraction1[0];
den1=fraction1[1];
impNum1=den1*whole1+num1;

prodNum=impNum*impNum1;
prodDen=den*den1;
ansWh=(prodNum>prodDen)?floor(prodNum/prodDen):0;
redNum=prodNum-(ansWh*prodDen);
GCF=gcd(redNum,prodDen);
ansNum=redNum/GCF;
ansDen=prodDen/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((((ansWh*ansDen+ansNum)/ansDen)==((_0*_2+_1))/_2)*.8) + ((gcd(_1,_2)==1)*.15)+ ((_0 == ansWh)*.05)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">&nbsp;({whole}\(\frac{{num}}{{den}}\))(\(\frac{{num1}}{{den1}}\))=&nbsp;</p>
            </td>
          <td rowspan="2" style="text-align: right;">{_0}</td>  
          <td style="border-bottom: 1px solid black">{_1}</td>
           
        </tr>
        <tr>
            <td></td>
            
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360443  -->
  <question type="formulas">
    <name>
      <text>L48- Multiply mix times Mixed</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply:&nbsp; ({whole}\(\frac{{num}}{{den}}\))({whole1}\(\frac{{num1}}{{den1}}\))</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>&nbsp;({whole}\(\frac{{num}}{{den}}\))({whole1}\(\frac{{num1}}{{den1}}\)) =&nbsp;</td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr>
            <td>
                (\(\frac{{impNum}}{{den}}\))&nbsp;(\(\frac{{impNum1}}{{den1}}\))</td>
            <td></td>
            <td><br>Write {whole}\(\frac{{num}}{{den}}\) as a fraction.<br>To write a mixed number as a fraction:<br>
                <div class="editor-indent" style="margin-left: 30px;">{den} times {whole} + {num} is the numerator<br>keep the same denominator, {den}</div><div class="editor-indent" style="margin-left: 30px;">{whole}\(\frac{{num}}{{den}}\) = (\(\frac{{impNum}}{{den}}\))&nbsp;</div><div class="editor-indent" style="margin-left: 30px;"><br></div>Write {whole1}\(\frac{{num1}}{{den1}}\) as a fraction.<br>To write a mixed number as a fraction:<br><div>{den1} times {whole1} + {num1} is the numerator<br>keep the same denominator, {den}</div><div>{whole1}\(\frac{{num1}}{{den1}}\) = (\(\frac{{impNum1}}{{den1}}\))&nbsp;</div><br>
            </td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}}{{prodDen}}\)&nbsp;<br></td>
            <td></td>
            <td><br>Multiply the numerators, Multiply the denominators.<br>\(\frac{{impNum}x{impNum1}}{{den}x {den1}}\)&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><br>{ansWh}\(\frac{{redNum}}{{prodDen}}\)&nbsp;</td>
            <td></td>
            <td><br>Simplify the Fraction<br>{prodDen} goes into {prodNum}, {ansWh} times.<br>{redNum} are left over.&nbsp; Write {redNum} in the numerator.<br>keep the same denominator ({prodDen}).<br><br></td>
        </tr>
        <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{prodDen}÷{GCF}}\)&nbsp;</td>
            <td></td>
            <td><br>The GCF of the numerator and denominator is {GCF}.<br>Divide the numerator and denominator both by {GCF}.<br><br></td>
        </tr>
        <tr>
            <td>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)&nbsp;</td>
            <td></td>
            <td>Simplify</td>
        </tr>
        <tr>
            <td></td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table><br>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>fraction={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole={1:5:1};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole1={1:5:1};
</text>
</varsrandom>
<varsglobal><text><![CDATA[#whole1=0; #second number is currently just a fraction

#fraction 0
whole=whole;
num=fraction[0];
den=fraction[1];
impNum=den*whole+num;

#fraction1
whole1=whole1;
num1=fraction1[0];
den1=fraction1[1];
impNum1=den1*whole1+num1;

prodNum=impNum*impNum1;
prodDen=den*den1;
ansWh=(prodNum>prodDen)?floor(prodNum/prodDen):0;
redNum=prodNum-(ansWh*prodDen);
GCF=gcd(redNum,prodDen);
ansNum=redNum/GCF;
ansDen=prodDen/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((((ansWh*ansDen+ansNum)/ansDen)==((_0*_2+_1))/_2)*.8) + ((gcd(_1,_2)==1)*.15)+ ((_0 == ansWh)*.05)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">&nbsp;({whole}\(\frac{{num}}{{den}}\))({whole1}\(\frac{{num1}}{{den1}}\))=&nbsp;</p>
            </td>
          <td rowspan="2" style="text-align: right;">{_0}</td>  
          <td style="border-bottom: 1px solid black">{_1}</td>
           
        </tr>
        <tr>
            <td></td>
            
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360441  -->
  <question type="formulas">
    <name>
      <text>L48- Multiply Mixed Number Times Fraction</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply {whole1}\(\frac{{num1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)</p><p dir="ltr" style="text-align: left;">(Leave the answer as an improper fraction.)</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>{whole1}\(\frac{{num1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Given<br><br></td>
        </tr>
        <tr></tr><tr>
            <td>\(\frac{{impNum1}}{{den1}}\) and&nbsp;\(\frac{{num2}}{{den2}}\)<br><br></td>
            <td></td>
            <td>Change the mixed number to an improper fraction<br><br></td>
        </tr>
        <tr>
            <td>
                <table>
                    <tbody>
                        <tr>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{impNum1}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{num2}</span></td>
                            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
                            <td style="border-bottom:1px solid black"><span class="" style="color: rgb(255, 51, 102);">{prodNum}</span></td>
                        </tr>
                        <tr>
                            <td><span class="" style="color: rgb(152, 202, 62);">{den1}</span></td>

                            <td><span class="" style="color: rgb(152, 202, 62);">{den2}</span></td>
                            <td><span class="" style="color: rgb(152, 202, 62);">{prodDen}</span></td>
                        </tr>
                    </tbody>
                </table>
            </td>
            <td></td>
            <td><br>To multiply fractions:<br>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(255, 51, 102);">1: multiply the numerators</span><br><span class="" style="color: rgb(152, 202, 62);">2: multiply the denominators</span></div>
                <div class="editor-indent" style="margin-left: 30px;"><span class="" style="color: rgb(152, 202, 62);"><br></span></div>
            </td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}}{{prodDen}}\)</td>
            <td>&nbsp; &nbsp; &nbsp; &nbsp;</td>
            <td><br>Simplify the fraction<br><br></td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}÷{GCF}}{{prodDen}÷{GCF}}\)</td>
            <td></td>
            <td><br>The GCF (greatest Common Factor) of {prodNum} and {prodDen} is {GCF}.&nbsp; &nbsp;Divide the numerator and denominator by {GCF}&nbsp;<br><br></td>
        </tr>
        <tr>
            <td><strong>\(\frac{{ansNum}}{{ansDen}}\)</strong></td>
            <td></td>
            <td><br>Simplify<br><br></td>
        </tr>
    </tbody>
</table>]]></text>
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      <text>Your answer is correct.</text>
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      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>whole1={2:11:1};
fraction0={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
fraction1={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};</text>
</varsrandom>
<varsglobal><text>num1=fraction0[0];

den1=fraction0[1];
impNum1=den1*whole1+num1;
num2=fraction1[0];
den2=fraction1[1];
prodNum=impNum1*num2;
prodDen=den1*den2;
GCF=gcd(prodNum,prodDen);
ansNum=prodNum/GCF;
ansDen=prodDen/GCF;</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
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<text><![CDATA[<table>
    <tbody>
        <tr>
            <td rowspan="2">{whole1}</td>
            <td style="border-bottom:1px solid black">{num1}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;x&nbsp;</td>
            <td style="border-bottom:1px solid black">{num2}</td>
            <td rowspan="2" style="text-align: center;">&nbsp;=&nbsp;</td>
            <td style="border-bottom:1px solid black">{_0}</td>
        </tr>
        <tr>
            <td>{den1}</td>

            <td>{den2}</td>
            <td>{_1}</td>
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</table>
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<text></text>
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<text></text>
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<text></text>
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<text></text>
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</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L48 - Multiplying Fractions/L48- Area Triangle</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360448  -->
  <question type="formulas">
    <name>
      <text>L48 - area of a Triangle</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<jsxgraph width="300" height="300">
    var board = JXG.JSXGraph.initBoard(BOARDID,{ axis:false,grid:false, boundingbox: [-1,10,10,-1], showCopyright: false, showNavigation: false });
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    var lHeight=board.create('line',[pV1,[{V1},0]],{strokeColor:'{color2}',dash:2,straightFirst:false,straightLast:false});
    var plenWid=board.create('point',[{length},{width}],{size:0,name:'',showInfobox:false,fixed:true});
    var rect=board.create('polygon',[p1,plen,pV1],{fillColor:'{color1}'});
    var tLen=board.create('text',[{length}/2,-.15,"{length} {unit}"],{anchorX:'center',anchorY:'top',fontSize:15});
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</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Area of a Triangle = \(\frac{1}{2}\)base x height</p>
<p dir="ltr" style="text-align: left;">A=\(\frac{1}{2}\)({length} x {width})</p>
<p dir="ltr" style="text-align: left;">A=<span style="font-size: 0.9375rem;">\(\frac{1}{2}\)(\(\frac{{=length*width}}{1}\))</span></p>
<p dir="ltr">A={=length*width/2} {=units[1]}</p>
<p dir="ltr"><br></p>
<p></p>
<p></p>
<p dir="ltr" style="text-align: left;">Area of a Triangle = base x height&nbsp;÷ 2</p>
<p dir="ltr" style="text-align: left;">A = {length} x {width} ÷ 2</p>
<p dir="ltr" style="text-align: left;">A = {=length*width}&nbsp;&nbsp;÷ 2</p>
<p dir="ltr" style="text-align: left;">A = {area} {=units[1]}</p>
<p dir="ltr" style="text-align: left;">The division can be written with the fraction bar.</p>
<p dir="ltr">A = \(\frac{({length})({width})}{2}\)&nbsp; &nbsp;</p>
<p dir="ltr">A = \(\frac{({=length*width})}{2}\)&nbsp;</p>
<p dir="ltr">A={area}&nbsp;{=units[1]}<br></p>
<p dir="ltr" style="text-align: left;"><br></p>]]></text>
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      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
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    <shownumcorrect/>
<varsrandom><text><![CDATA[length={3:10:1};
width={2:10:1};
V1={.3:.7:.1};
unit={"ft","yards","inches","mm","meters","cm","km"};
colors=shuffle(["red","green","yellow","blue","purple","orange"]);]]></text>
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area = length*width/2;
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color2=colors[1];]]></text>
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<answernumbering><text>abc</text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">Area = {_0} {_1:units:MCE}</p>]]></text>
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<text></text>
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<text></text>
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  </question>

<!-- question: 360449  -->
  <question type="formulas">
    <name>
      <text>L48- area of a Right Triangle (L)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<jsxgraph width="300" height="300">
    var board = JXG.JSXGraph.initBoard(BOARDID,{ axis:false,grid:false, boundingbox: [-3,10,10,-1], showCopyright: false, showNavigation: false });
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    var plen=board.create('point',[{length},0],{size:0,name:''});
    var pWid=board.create('point',[0,{width}],{size:0,name:''});
    var plenWid=board.create('point',[{length},{width}],{size:0,name:''});
    var rect=board.create('polygon',[p1,plen,pWid]);
    var tLen=board.create('text',[{length}/2,-.15,"{length} {unit}"],{anchorX:'center',anchorY:'top',fontSize:15});
    var tWid=board.create('text',[0,{width}/2,"{width} {unit}"],{anchorX:'right',anchorY:'middle',fontSize:15});

</jsxgraph>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;"></p><p dir="ltr">Area of a Triangle = base x height&nbsp;÷ 2</p><p dir="ltr">A = {length} x {width} ÷ 2</p><p dir="ltr">A = {=length*width}&nbsp;&nbsp;÷ 2</p><p dir="ltr">A = {area} {=units[1]}</p><p dir="ltr">The division can be written with the fraction bar.</p><p dir="ltr">A = \(\frac{({length})({width})}{2}\)&nbsp; &nbsp;</p><p dir="ltr">A = \(\frac{({=length*width})}{2}\)&nbsp;</p><p dir="ltr">A={area} {=units[1]}<br></p><p dir="ltr"><br>

</p><br><p></p>]]></text>
    </generalfeedback>
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    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text><![CDATA[length={3:10:1};
width={2:10:1};
unit={"ft","yards","inches","mm","meters","cm","km"};
colors=shuffle(["red","green","yellow","blue","purple","orange"]);]]></text>
</varsrandom>
<varsglobal><text><![CDATA[area = length*width/2;

units=[unit,join("","square ",unit),join("","cubic ",unit)];
color1=colors[0];
color2=colors[1];]]></text>
</varsglobal>
<answernumbering><text>abc</text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">Area = {_0} {_1:units:MCE}</p>]]></text>
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<text></text>
 </feedback>
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<text></text>
 </correctfeedback>
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<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L48 - Multiplying Fractions/L48- Frac and Whole</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360452  -->
  <question type="formulas">
    <name>
      <text>L48- Multiply frac times whole</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply:&nbsp; (\(\frac{{num}}{{den}}\))({whole})</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>(\(\frac{{num}}{{den}}\))({whole}) =&nbsp;</td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr>
            <td>
                (\(\frac{{num}}{{den}}\))(\(\frac{{whole}}{1}\))&nbsp;
            </td>
            <td></td>
            <td><br>Write {whole} as a fraction.<br>To write a whole number as a fraction, put a 1 in the denominator.<br>(\(\frac{{whole}}{1}\))&nbsp;<br><br></td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}}{{den}}\)&nbsp;<br></td>
            <td></td>
            <td>\(\frac{{num}x{whole}}{{den}x 1}\)&nbsp;<br>Simplify</td>
        </tr>
        <tr>
            <td><br>{ansWh}\(\frac{{redNum}}{{den}}\)&nbsp;</td>
            <td></td>
            <td><br>Simplify the Fraction<br>{den} goes into {prodNum}, {ansWh} times.<br>{redNum} are left over.&nbsp; Write {redNum} in the numerator.<br>keep the same denominator.<br><br></td>
        </tr> <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{den}÷{GCF}}\)&nbsp;</td>
            <td></td>
            <td><br>The GCF of the numerator and denominator is {GCF}.<br>Divide the numerator and denominator both by {GCF}.<br><br></td>
        </tr> <tr>
            <td>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)&nbsp;</td>
            <td></td>
            <td>Simplify</td>
        </tr> <tr>
            <td></td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table><br>]]></text>
    </generalfeedback>
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    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>fraction={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole={2:21:1};
</text>
</varsrandom>
<varsglobal><text><![CDATA[num=fraction[0];
den=fraction[1];
prodNum=num*whole;
ansWh=(prodNum>den)?floor(prodNum/den):0;
redNum=prodNum-(ansWh*den);
GCF=gcd(redNum,den);
ansNum=redNum/GCF;
ansDen=den/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
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<text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">(\(\frac{{num}}{{den}}\))({whole}) =&nbsp;</p>
            </td>
          <td rowspan="2" style="text-align: right;">{_0}</td>  
          <td style="border-bottom: 1px solid black">{_1}</td>
           
        </tr>
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            <td></td>
            
            <td>{_2}</td>
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    </tbody>
</table>]]></text>
 </subqtext>
 <feedback format="html">
<text></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360453  -->
  <question type="formulas">
    <name>
      <text>L48- Multiply whole times frac</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Multiply:&nbsp; ({whole})(\(\frac{{num}}{{den}}\))</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<table>
    <tbody>
        <tr>
            <td>({whole})(\(\frac{{num}}{{den}}\)) =&nbsp;</td>
            <td></td>
            <td>Given</td>
        </tr>
        <tr>
            <td>
                (\(\frac{{whole}}{1}\))&nbsp;(\(\frac{{num}}{{den}}\))</td>
            <td></td>
            <td><br>Write {whole} as a fraction.<br>To write a whole number as a fraction, put a 1 in the denominator.<br>(\(\frac{{whole}}{1}\))&nbsp;<br><br></td>
        </tr>
        <tr>
            <td>\(\frac{{prodNum}}{{den}}\)&nbsp;<br></td>
            <td></td>
            <td>\(\frac{{num}x{whole}}{{den}x 1}\)&nbsp;<br>Simplify</td>
        </tr>
        <tr>
            <td><br>{ansWh}\(\frac{{redNum}}{{den}}\)&nbsp;</td>
            <td></td>
            <td><br>Simplify the Fraction<br>{den} goes into {prodNum}, {ansWh} times.<br>{redNum} are left over.&nbsp; Write {redNum} in the numerator.<br>keep the same denominator.<br><br></td>
        </tr> <tr>
            <td>{ansWh}\(\frac{{redNum}÷{GCF}}{{den}÷{GCF}}\)&nbsp;</td>
            <td></td>
            <td><br>The GCF of the numerator and denominator is {GCF}.<br>Divide the numerator and denominator both by {GCF}.<br><br></td>
        </tr> <tr>
            <td>{ansWh}\(\frac{{ansNum}}{{ansDen}}\)&nbsp;</td>
            <td></td>
            <td>Simplify</td>
        </tr> <tr>
            <td></td>
            <td></td>
            <td></td>
        </tr>
    </tbody>
</table><br>]]></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>fraction={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[2,5],[3,5],[1,6],[2,6],[3,6],[4,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[2,8],[3,8],[4,8],[5,8],[6,8],[7,8],[1,10],[2,10],[3,10],[4,10],[5,10],[6,10],[7,10],[8,10],[9,10]};
whole={2:21:1};
</text>
</varsrandom>
<varsglobal><text><![CDATA[num=fraction[0];
den=fraction[1];
prodNum=num*whole;
ansWh=(prodNum>den)?floor(prodNum/den):0;
redNum=prodNum-(ansWh*den);
GCF=gcd(redNum,den);
ansNum=redNum/GCF;
ansDen=den/GCF;]]></text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
 <placeholder>
  <text></text>
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 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>3</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>[ansWh,ansNum,ansDen]</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>((((ansWh*ansDen+ansNum)/ansDen)==((_0*_2+_1))/_2)*.8) + ((gcd(_1,_2)==1)*.15)+ ((_0 == ansWh)*.05)</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
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  <text></text>
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  <text>1</text>
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<text><![CDATA[<table>
    <tbody>
        <tr>
            <td>
                <p dir="ltr" style="text-align: left;">({whole})(\(\frac{{num}}{{den}}\))=&nbsp;</p>
            </td>
          <td rowspan="2" style="text-align: right;">{_0}</td>  
          <td style="border-bottom: 1px solid black">{_1}</td>
           
        </tr>
        <tr>
            <td></td>
            
            <td>{_2}</td>
        </tr>
    </tbody>
</table>]]></text>
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<text></text>
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<text></text>
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<text></text>
 </partiallycorrectfeedback>
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<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 0  -->
  <question type="category">
    <category>
      <text>$course$/top/Default for MSII/Test #6/L48 - Multiplying Fractions/L48- Fraction of Whole</text>
    </category>
    <info format="html">
      <text></text>
    </info>
    <idnumber></idnumber>
  </question>

<!-- question: 360457  -->
  <question type="formulas">
    <name>
      <text>L48 - Fifths Fract of - 1/frac through frac/frac</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Simplify</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>5.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>factor={2:10};</text>
</varsrandom>
<varsglobal><text>den=5;
num1=1;
num2=2;
num3=3;
num4=4;
num5=5;
number=den*factor;
ans1=num1/den * number;
ans2=num2/den * number;
ans3=num3/den * number;
ans4=num4/den * number;
ans5=num5/den*number;

</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
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  <text></text>
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  <text>1</text>
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  <text>1</text>
 </numbox>
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  <text></text>
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 <answer>
  <text>ans1</text>
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  <text></text>
 </vars2>
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  <text>_err == 0</text>
 </correctness>
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  <text>1</text>
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  <text></text>
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  <text>1</text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num1}}{{den}}\) of {number} = {_0}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<table><tbody><tr><td><p>\(\frac{{num1}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr>
<tr><td><p>\(\frac{{num1}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr>
  <tr><td><p>\(\frac{{num1}}{{den}}\) of {number} = {ans1}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br><br></td></tr>
  <tr><td><p><br></p></td><td></td><td></td></tr></tbody></table>]]></text>
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 <correctfeedback format="html">
<text></text>
 </correctfeedback>
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<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
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 <placeholder>
  <text></text>
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  <text>1</text>
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  <text>0</text>
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  <text>1</text>
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 <answer>
  <text>ans2</text>
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  <text></text>
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  <text>_err == 0</text>
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  <text>1</text>
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  <text>1</text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num2}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num2}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num2}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num2}}{{den}}\) x {number} = {ans2}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num2} groups.<br>{num2} x {ans1} = {ans2}<br>The answer is {ans2}.<br><br></td></tr><tr><td><p><br></p></td><td></td>

</tr></tbody></table><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
 <partiallycorrectfeedback format="html">
<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>2</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
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  <text>0</text>
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  <text>1</text>
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  <text></text>
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 <answer>
  <text>ans3</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
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 <ruleid>
  <text>1</text>
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  <text></text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num3}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num3}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num3}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num3}}{{den}}\) of {number} = {ans3}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num3} groups.<br>{num3} x {ans1} = {ans3}<br>The answer is {ans3}.<br><br></td></tr><tr><td><p><br></p></td><td></td></tr></tbody></table><br><br><p></p>]]></text>
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 <correctfeedback format="html">
<text></text>
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<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>3</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
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  <text></text>
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 <answer>
  <text>ans4</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num4}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num4}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num4}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num4}}{{den}}\) of {number} = {ans4}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num4} groups.<br>{num4} x {ans1} = {ans4}<br>The answer is {ans4}.<br><br></td></tr><tr><td><p><br></p></td><td></td></tr></tbody></table><br><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
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<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>4</text>
 </partindex>
 <placeholder>
  <text></text>
 </placeholder>
 <answermark>
  <text>1</text>
 </answermark>
 <answertype>
  <text>0</text>
 </answertype>
 <numbox>
  <text>1</text>
 </numbox>
 <vars1>
  <text></text>
 </vars1>
 <answer>
  <text>ans5</text>
 </answer>
 <vars2>
  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
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 <ruleid>
  <text>1</text>
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  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num5}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num5}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num5}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num5}}{{den}}\) of {number} = {ans5}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num5} groups.<br>{num5} x {ans1} = {ans5}<br>The answer is {ans5}.<br><br></td></tr><tr><td><p><br></p></td><td></td></tr></tbody></table><br><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
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<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
  </question>

<!-- question: 360456  -->
  <question type="formulas">
    <name>
      <text>L48 - Fourths Fract of - 1/frac through frac/frac</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Simplify</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>4.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber></idnumber>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
<varsrandom><text>factor={2:10};</text>
</varsrandom>
<varsglobal><text>den=4;
num1=1;
num2=2;
num3=3;
num4=4;
number=den*factor;
ans1=num1/den * number;
ans2=num2/den * number;
ans3=num3/den * number;
ans4=num4/den * number;

</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
<answers>
 <partindex>
  <text>0</text>
 </partindex>
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  <text></text>
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  <text>1</text>
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  <text>0</text>
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  <text>1</text>
 </numbox>
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  <text></text>
 </vars1>
 <answer>
  <text>ans1</text>
 </answer>
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  <text></text>
 </vars2>
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  <text>_err == 0</text>
 </correctness>
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  <text>1</text>
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  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
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 <otherrule>
  <text></text>
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 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num1}}{{den}}\) of {number} = {_0}</p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<table><tbody><tr><td><p>\(\frac{{num1}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr>
<tr><td><p>\(\frac{{num1}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr>
  <tr><td><p>\(\frac{{num1}}{{den}}\) of {number} = {ans1}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br><br></td></tr>
  <tr><td><p><br></p></td><td></td><td></td></tr></tbody></table>]]></text>
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 <correctfeedback format="html">
<text></text>
 </correctfeedback>
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<text></text>
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 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>1</text>
 </partindex>
 <placeholder>
  <text></text>
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 <answermark>
  <text>1</text>
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  <text>0</text>
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  <text>1</text>
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 <answer>
  <text>ans2</text>
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  <text></text>
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  <text>_err == 0</text>
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  <text>1</text>
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  <text></text>
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  <text>1</text>
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  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num2}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num2}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num2}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num2}}{{den}}\) x {number} = {ans2}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num2} groups.<br>{num2} x {ans1} = {ans2}<br>The answer is {ans2}.<br><br></td></tr><tr><td><p><br></p></td><td></td>

</tr></tbody></table><br><p></p>]]></text>
 </feedback>
 <correctfeedback format="html">
<text></text>
 </correctfeedback>
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<text></text>
 </partiallycorrectfeedback>
 <incorrectfeedback format="html">
<text></text>
 </incorrectfeedback>
</answers>
<answers>
 <partindex>
  <text>2</text>
 </partindex>
 <placeholder>
  <text></text>
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 <answermark>
  <text>1</text>
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  <text>0</text>
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  <text>1</text>
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 <vars1>
  <text></text>
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 <answer>
  <text>ans3</text>
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  <text></text>
 </vars2>
 <correctness>
  <text>_err == 0</text>
 </correctness>
 <unitpenalty>
  <text>1</text>
 </unitpenalty>
 <postunit>
  <text></text>
 </postunit>
 <ruleid>
  <text>1</text>
 </ruleid>
 <otherrule>
  <text></text>
 </otherrule>
 <subqtext format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num3}}{{den}}\) of {number} = {_0}<br></p>]]></text>
 </subqtext>
 <feedback format="html">
<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num3}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num3}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num3}}{{den}}\) of {number} = {ans3}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num3} groups.<br>{num3} x {ans1} = {ans3}<br>The answer is {ans3}.<br><br></td></tr><tr><td><p><br></p></td><td></td></tr></tbody></table><br><br><p></p>]]></text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num4}}{{den}}\) of {number} = {_0}<br></p>]]></text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num4}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num4}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num4}}{{den}}\) of {number} = {ans4}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num4} groups.<br>{num4} x {ans1} = {ans4}<br>The answer is {ans4}.<br><br></td></tr><tr><td><p><br></p></td><td></td></tr></tbody></table><br><br><p></p>]]></text>
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  </question>

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  <question type="formulas">
    <name>
      <text>L48 - Thirds Fract of - 1/frac through frac/frac</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p dir="ltr" style="text-align: left;">Simplify</p>]]></text>
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      <text>Your answer is correct.</text>
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      <text>Your answer is incorrect.</text>
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    <shownumcorrect/>
<varsrandom><text>factor={2:10};</text>
</varsrandom>
<varsglobal><text>den=3;
num1=1;
num2=2;
num3=3;
number=den*factor;
ans1=num1/den * number;
ans2=num2/den * number;
ans3=num3/den * number;

</text>
</varsglobal>
<answernumbering><text>abc</text>
</answernumbering>
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  <text>1</text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num1}}{{den}}\) of {number} = {_0}</p>]]></text>
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<text><![CDATA[<table><tbody><tr><td><p>\(\frac{{num1}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr>
<tr><td><p>\(\frac{{num1}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr>
  <tr><td><p>\(\frac{{num1}}{{den}}\) of {number} = {ans1}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br><br></td></tr>
  <tr><td><p><br></p></td><td></td><td></td></tr></tbody></table>]]></text>
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<answers>
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  <text>1</text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num2}}{{den}}\) of {number} = {_0}<br></p>]]></text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num2}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num2}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num2}}{{den}}\) x {number} = {ans2}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num2} groups.<br>{num2} x {ans1} = {ans2}<br>The answer is {ans2}.<br><br></td></tr><tr><td><p><br></p></td><td></td>

</tr></tbody></table><br><p></p>]]></text>
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  <text>2</text>
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  <text>1</text>
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  <text></text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;">\(\frac{{num3}}{{den}}\) of {number} = {_0}<br></p>]]></text>
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<text><![CDATA[<p dir="ltr" style="text-align: left;"></p><table><tbody><tr><td><p>\(\frac{{num3}}{{den}}\) of {number}</p></td><td>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</td><td>Given</td></tr><tr><td><p>\(\frac{{num3}}{{den}}\) x {number}</p></td><td></td><td>of means multiply</td></tr><tr><td><p>\(\frac{{num3}}{{den}}\) of {number} = {ans2}</p></td><td></td><td><br>Separate {number} into {den} equal groups.<br>Each group has&nbsp;{ans1} items.<br>The numerator tells us to take {num3} groups.<br>{num3} x {ans1} = {ans3}<br>The answer is {ans3}.<br><br></td></tr><tr><td><p><br></p></td><td></td></tr></tbody></table><br><br><p></p>]]></text>
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</quiz>