$course$/top/Default for MSII/Test #7/L49 - Convert Fractions to Decimals L49-Convert Fraction to 2-digit repeating Decimal Convert \(\frac{{num}}{{den}}\) to a decimal number.  (Write the answer using a repeating decimal.)

]]>
0. {tenth} {hundredth} {thousandth} {tenThou}
{den} {num}. 0 0 0 0
- {tenDen}
{tenthRem} 0
- {hunDen}
{hunRem} 0
-{thouDen}
{thouRem} 0
The terminal zeros are not necessary. The question may show extra zeros because it is programmed to divide to the thousandths. You do not need to write the terminal zeros.
]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. fraction={[1,11],[2,11],[3,11],[4,11],[5,11],[6,11],[7,11],[8,11],[9,11],[10,11],[1,99],[2,99],[3,99],[4,99],[5,99],[6,99],[7,99],[8,99]}; num=fraction[0]; den=fraction[1]; decimal=num/den; tenth=floor((num*10)/den); tenDen=(den*tenth); tenthRem=(num*10)-(tenDen); hundredth=floor((tenthRem*10)/den); hunDen=hundredth*den; hunRem=(tenthRem*10)-hunDen; thousandth=floor((hunRem*10)/den); thouDen=thousandth*den; thouRem=(hunRem*10)-thouDen; tenThou=floor((thouRem*10)/den); ans=((tenth*10)+hundredth)/100; none 0 1 0 1 ans _err == 0 1 1 The value under the repeat bar should be {_0}
]]> L49-Convert Fraction to 2-digit repeating Decimal Convert \(\frac{{num}}{{den}}\) to a decimal number.  (Write the answer using a repeating decimal.)

]]>
0. {tenth} {hundredth} {thousandth} {tenThou}
{den} {num}. 0 0 0 0
- {tenDen}
{tenthRem} 0
- {hunDen}
{hunRem} 0
-{thouDen}
{thouRem} 0
The terminal zeros are not necessary. The question may show extra zeros because it is programmed to divide to the thousandths. You do not need to write the terminal zeros.
]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. fraction={[1,11],[2,11],[3,11],[4,11],[5,11],[6,11],[7,11],[8,11],[9,11],[10,11],[1,99],[2,99],[3,99],[4,99],[5,99],[6,99],[7,99],[8,99]}; num=fraction[0]; den=fraction[1]; decimal=num/den; tenth=floor((num*10)/den); tenDen=(den*tenth); tenthRem=(num*10)-(tenDen); hundredth=floor((tenthRem*10)/den); hunDen=hundredth*den; hunRem=(tenthRem*10)-hunDen; thousandth=floor((hunRem*10)/den); thouDen=thousandth*den; thouRem=(hunRem*10)-thouDen; tenThou=floor((thouRem*10)/den); ans=((tenth*10)+hundredth)/100; none 0 1 0 1 ans _err == 0 1 1 The value under the repeat bar should be {_0}
]]> L49-Convert Fraction to Decimal Convert \(\frac{{num}}{{den}}\) to a decimal number.  (Round to the nearest hundredth if necessary.)

]]>
0. {tenth} {hundredth} {thousandth}
{den} {num}. 0 0 0 0
- {tenDen}
{tenthRem} 0
- {hunDen}
{hunRem} 0
-{thouDen}
{thouRem} 0
The terminal zeros are not necessary. The question may show extra zeros because it is programmed to divide to the thousandths. You do not need to write the terminal zeros.
]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. 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]}; num=fraction[0]; den=fraction[1]; decimal=num/den; tenth=floor((num*10)/den); tenDen=(den*tenth); tenthRem=(num*10)-(tenDen); hundredth=floor((tenthRem*10)/den); hunDen=hundredth*den; hunRem=(tenthRem*10)-hunDen; thousandth=floor((hunRem*10)/den); thouDen=thousandth*den; thouRem=(hunRem*10)-thouDen; abc 0 1 0 1 decimal 1 1 L49-Convert Fraction to repeating Decimal Convert \(\frac{{num}}{{den}}\) to a decimal number.  (Write the answer using a repeating decimal.)

]]>
0. {tenth} {hundredth} {thousandth}
{den} {num}. 0 0 0 0
- {tenDen}
{tenthRem} 0
- {hunDen}
{hunRem} 0
-{thouDen}
{thouRem} 0
The terminal zeros are not necessary. The question may show extra zeros because it is programmed to divide to the thousandths. You do not need to write the terminal zeros.
]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. fraction={[1,3],[2,3],[1,9],[2,9],[3,9],[4,9],[5,9],[6,9],[7,9],[8,9]}; none 0 1 0 1 tenth-1 _err == 0 1 1 (a.) \(\overline{1}\)           (b.) \(\overline{2}\)            (c.) \(\overline{3}\) (d.) \(\overline{4}\) (e.) \(\overline{5}\) (f.) \(\overline{6}\) (g.) \(\overline{7}\) (h.) \(\overline{8}\) (i.) \(\overline{9}\)
\(\frac{{num}}{{den}}\) = {_0:choice:MCE}
]]> L49-Convert Mixed Number to Decimal Number Convert {whole}\(\frac{{num}}{{den}}\) to a decimal number.  (Round to the nearest hundredth if necessary.)

]]>

1.  To calculate the decimal part of the answer divide {num} ÷ {den}.

0. {tenth} {hundredth} {thousandth}
{den} {num}. 0 0 0 0
- {tenDen}
{tenthRem} 0
- {hunDen}
{hunRem} 0
-{thouDen}
{thouRem} 0
The terminal zeros are not necessary. The question may show extra zeros because it is programmed to divide to the thousandths. You do not need to write the terminal zeros.

2.  Write the whole number ({whole}) to the left of the decimal.


The answer is {decimal}


]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. 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={1:100:1}; fraction=[7,10]; num=fraction[0]; den=fraction[1]; decimal=whole+(num/den); tenth=floor((num*10)/den); tenDen=(den*tenth); tenthRem=(num*10)-(tenDen); hundredth=floor((tenthRem*10)/den); hunDen=hundredth*den; hunRem=(tenthRem*10)-hunDen; thousandth=floor((hunRem*10)/den); thouDen=thousandth*den; thouRem=(hunRem*10)-thouDen; abc 0 1 0 1 decimal 1 1 $course$/top/Default for MSII/Test #7/L51 - What is Percent? L51-write decimal as percent Write {decimal} as a percent.

]]> {decimal} means {=decimal*100} hundredths.  

Percent means out of 100

{decimal} = {percent} %

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99:1}; decimal=percent/100; abc 0 1 0 1 percent _err == 0 1 1 (Do not type the percent sign)

{_0}%

]]> L51-write decimal as percent Write {decimal} as a percent.

]]> {decimal} means {=decimal*100} hundredths.  

Percent means out of 100

{decimal} = {percent} %

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99:1}; decimal=percent/100; abc 0 1 0 1 percent _err == 0 1 1 (Do not type the percent sign)

{_0}%

]]> L51-write fraction as percent Write \(\frac{{rednum}}{{redden}}\) as a percent.

]]> Write \(\frac{{rednum}}{{redden}}\) as a fraction with a 100 in the denominator.

\(\frac{{rednum}x{GCF}}{{redden}x{GCF}}\) = \(\frac{{num}}{{den}}\)

Percent means out of 100

\(\frac{{num}}{{den}}\) = {percent} %

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99:1}; decimal=percent/100; num=percent; den=100; GCF=gcd(num,den); rednum=num/GCF; redden=den/GCF; abc 0 1 0 1 percent _err == 0 1 1 (Do not type the percent sign)

{_0}%

]]> L51-write percent as decimal Write {percent} % as a decimal number.

]]> {percent}% means {percent} out of 100

{percent}% = {decimal}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99:1}; decimal=percent/100; abc 0 1 0 1 decimal _err == 0 1 1 L51-write percent as fraction in simplest form Write {percent} % as a fraction in simplest form.

]]> {percent}% means {percent} out of 100

\(\frac{{percent}}{100}\)

Divide the numerator and the denominator by the GCF.

The GCF is {GCF}

\(\frac{{percent}÷{GCF}}{100÷{GCF}}\) = \(\frac{{redNum}}{{redDen}}\)




]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99:1}; decimal=percent/100; GCF=gcd(percent,100); redNum=percent/GCF; redDen=100/GCF; abc 0 1 0 2 [redNum,redDen] 1 1 {_0} {_1} ]]> L51-write percent as fraction over 100 Write {percent} % as a fraction

]]> {percent}% means {percent} out of 100

\(\frac{{percent}}{100}\)

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99:1}; decimal=percent/100; abc 0 1 0 1 percent _err == 0 1 1 {_0} 100 ]]> $course$/top/Default for MSII/Test #7/L50 - Solving 2-Step Equations L50- ax+b=c find pos and neg x {a}x + {b} = {c}

]]> {a}x + {b} = {c} Given {a}x + {b} = {c} Make a box around the variable term.
(I changed mine to orange because I can not make a box.)      -{b}   -{b} Subtract {b} from both sides.
{b} - {b} Cancels out. {a}x = {cMb} Simplify:   {c}-{b} = {=c-b} 
\(\frac{{a}}{{a}}\)x = \(\frac{{cMb}}{{a}}\)
Divide both sides by {a} ]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a={-5,-4,-3,-2,-1,2,3,4,5,6}; b={1:15:.5}; x={-10:10:1}; aX=a*x; c=a*x+b; cMb=c-b; none 0 1 0 1 x _err == 0 1 1 x = {_0}

]]> L50- ax+b=c find x {a}x + {b} = {c}

]]> {a}x + {b} = {c} Given {a}x + {b} = {c} Make a box around the variable term.
(I changed mine to orange because I can not make a box.)      -{b}   -{b} Subtract {b} from both sides.
{b} - {b} Cancels out. {a}x = {cMb} Simplify:   {c}-{b} = {=c-b} 
\(\frac{{a}}{{a}}\)x = \(\frac{{cMb}}{{a}}\)
Divide both sides by {a} ]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a={-5,-4,-3,-2,-1,2,3,4,5,6}; b={1:15:.5}; x={-10:10:1}; aX=a*x; c=a*x+b; cMb=c-b; none 0 1 0 1 x _err == 0 1 1 x = {_0}

]]> L50- ax+b=c find x (integers-positive x) {a}x + {b} = {c}

]]> {a}x + {b} = {c} Given {a}x + {b} = {c} Make a box around the variable term.
(I changed mine to orange because I can not make a box.)      -{b}   -{b} Subtract {b} from both sides.
{b} - {b} Cancels out. {a}x = {cMb} Simplify:   {c}-{b} = {=c-b} 
\(\frac{{a}}{{a}}\)x = \(\frac{{cMb}}{{a}}\)
Divide both sides by {a} ]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a={-5,-4,-3,-2,-1,2,3,4,5,6}; b={1:15:1}; x={1:10:1}; aX=a*x; c=a*x+b; cMb=c-b; none 0 1 0 1 x _err == 0 1 1 x = {_0}

]]> L50- ax-b=c find x {a}x {b} = {c}

x={#1}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a={-5,-4,-3,-2,-1,2,3,4,5,6}; b={-15:-1:.5}; x={-10:10:1}; aX=a*x; c=a*x+b; none 0 #1 1 0 1 x _err == 0 1 1 {_0}

]]> L50- b- ax=c find x (integers-positive x) {b} - {a}x = {c}

]]> {b} - {a}x = {c} Given {b} -{a}x = {c} Make a box around the variable term.
(I changed mine to orange because I can not make a box.) -{b}     -{b} Subtract {b} from both sides.
{b} - {b} Cancels out. -{a}x = {cMb} Simplify:   {c}-{b} = {cMb} 
\(\frac{-{a}}{-{a}}\)x = \(\frac{{cMb}}{-{a}}\)
To solve for x, divide both sides by -{a} x = {=cMb/a} Simplify Check the answer {b} - {a}x = {c} Write the original equation {b} - {a}({x}) ?= {c} Substitute the value of x.  
Place x in parentheses to show multiplication. {b} - {=a*x} ?= {c} Multiply {a} and {x} {=b-a*x} ?= {c} Subtract {b} -  {=a*x}
Since they are equal, x={x} is the correct answer. ]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a={2,3,4,5,6}; b={1:15:1}; x={1:10:1}; aX=a*x; c=a*x+b; cMb=c-b; none 0 1 0 1 x _err == 0 1 1 x = {_0}

]]> L50- c=(a+var)/b {c}=\(\frac{{b}+{var}}{{den}}\)

]]> {c}=\(\frac{{b}+{var}}{{den}}\)            Given ({den}){c}=\(\frac{{b}+{var}}{{den}}\)({den}) Since the variable is in the numerator, Multiply both sides by the denominator. {=den*c}={b}+{var} Simplify -{b}   -{b} Subtract {b} on both sides.
{b}-{b} cancels out {x} = {var} Simplify:  {=den*c} - {b} = {x} Check the answer {c}=\(\frac{{b}+{var}}{{den}}\) Write the original equation {c}=\(\frac{{b}+{x}}{{den}}\) Substitute the value of the variable {c}=\(\frac{{b}+{x}}{{den}}\) Simplify the numerator {c}=\(\frac{{bPx}}{{den}}\) Divide {bPx} by {den} {c}={c} since they are equal, {var} = {x} ]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. x=(c*den)-b; bPx=b+x; abc 0 1 0 1 x _err == 0 1 1 {var} = {_0}

]]> L50- var/a + b = c \(\frac{{var}}{{a}}\) + {b} = {c}

]]>

\(\frac{{var}}{{a}}\) + {b} = {c}

given \(\frac{{var}}{{a}}\) + {b} = {c} Make a box around the variable term.
(I changed mine to orange because I can not make a box.)     -{b}     -{b} Subtract {b} from both sides.
{b} - {b} Cancels out. \(\frac{{var}}{{a}}\) = {cMb} Simplify:   {c}-{b} = {cMb} 
({a})\(\frac{{var}}{{a}}\) = ({cMb})({a})
          To solve for {var}, multiply both sides by {a} {var} = {x} Simplify Check the answer \(\frac{{var}}{{a}}\) + {b} = {c} Write the original equation \(\frac{{x}}{{a}}\) + {b} = {c} Substitute the value of x.  
Place x in parentheses to show multiplication. {factor} + {b} = {c} Divide {x} and {a} {c} = {c} Add {factor} +  {b}
Since they are equal, x={x} is the correct answer. ]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. x=factor*a; c=factor+b; cMb=c-b; abc 0 1 0 1 x _err == 0 1 1 {var} = {_0}

]]> $course$/top/Default for MSII/Test #7/L52-Us Customary and Inequalities L52 - Choose the words for each symbol
Inequality < > ≤ ≥
Words less than   greater than     less than or equal to     greater than or equal to  
  fewer than   more than no more than no less than
up to exceeds at most at least

in excess of

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. randPhrase={0,1,2,3,4,5,6,7,8,9,10,11,12}; randAns=shuffle([0,1,2,3]); ","≤","≥"]; choices=[choiceArray[randAns[0]],choiceArray[randAns[1]],choiceArray[randAns[2]],choiceArray[randAns[3]]]; ans=ansArray[randPhrase]; ]]> abc 0 1 0 1 ans randAns[_0]==ans 1 1 {=word[randPhrase]}    {_0:choices:MCE}

]]> L52- Inequalities on the Number line - Integers var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,22,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={a}; let B={b}; let C={c}; let D={d}; var numLine = board.create('axis', [[0, 18],[10, 18]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ for (j=0; j<{number1};j++) { var p1=board.create('point',[j,18],{fixed:true,showInfobox:false,name:""});} } else if (A===1){ for (j={number2}; j<11;j++) { var p1=board.create('point',[j,18],{fixed:true,showInfobox:false,name:""});} } else if (A===2){ for (j=0; j<{number2};j++) { var p1=board.create('point',[j,18],{fixed:true,showInfobox:false,name:""});} } else if (A===3){ for (j={number1}; j<11;j++) { var p1=board.create('point',[j,18],{fixed:true,showInfobox:false,name:""});} } var tA=board.create('text',[-.7,18.5,"(a)"],{fontSize:15}); var numLine = board.create('axis', [[0, 12],[10, 12]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (B===0){ for (j=0; j<{number1};j++) { var p1=board.create('point',[j,12],{fixed:true,showInfobox:false,name:""});} } else if (B===1){ for (j={number2}; j<11;j++) { var p1=board.create('point',[j,12],{fixed:true,showInfobox:false,name:""});} } else if (B===2){ for (j=0; j<{number2};j++) { var p1=board.create('point',[j,12],{fixed:true,showInfobox:false,name:""});} } else if (B===3){ for (j={number1}; j<11;j++) { var p1=board.create('point',[j,12],{fixed:true,showInfobox:false,name:""});} } var tA=board.create('text',[-.7,12.5,"(b)"],{fontSize:15}); var numLine = board.create('axis', [[0, 6],[10, 6]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (C===0){ for (j=0; j<{number1};j++) { var p1=board.create('point',[j,6],{fixed:true,showInfobox:false,name:""});} } else if (C===1){ for (j={number2}; j<11;j++) { var p1=board.create('point',[j,6],{fixed:true,showInfobox:false,name:""});} } else if (C===2){ for (j=0; j<{number2};j++) { var p1=board.create('point',[j,6],{fixed:true,showInfobox:false,name:""});} } else if (C===3){ for (j={number1}; j<11;j++) { var p1=board.create('point',[j,6],{fixed:true,showInfobox:false,name:""});} } var tA=board.create('text',[-.7,6.5,"(c)"],{fontSize:15}); var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (D===0){ for (j=0; j<{number1};j++) { var p1=board.create('point',[j,0],{fixed:true,showInfobox:false,name:""});} } else if (D===1){ for (j={number2}; j<11;j++) { var p1=board.create('point',[j,0],{fixed:true,showInfobox:false,name:""});} } else if (D===2){ for (j=0; j<{number2};j++) { var p1=board.create('point',[j,0],{fixed:true,showInfobox:false,name:""});} } else if (D===3){ for (j={number1}; j<11;j++) { var p1=board.create('point',[j,0],{fixed:true,showInfobox:false,name:""});} } var tA=board.create('text',[-.7,.5,"(d)"],{fontSize:15}); ]]> {feedback}

The correct graph is:

var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,5,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={ans}; var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ for (j=0; j<{number1};j++) { var p1=board.create('point',[j,0],{fixed:true,showInfobox:false,name:""});} } else if (A===1){ for (j={number2}; j<11;j++) { var p1=board.create('point',[j,0],{fixed:true,showInfobox:false,name:""});} } else if (A===2){ for (j=0; j<{number2};j++) { var p1=board.create('point',[j,0],{fixed:true,showInfobox:false,name:""});} } else if (A===3){ for (j={number1}; j<11;j++) { var p1=board.create('point',[j,0],{fixed:true,showInfobox:false,name:""});} } var tA=board.create('text',[-.7,0.5,"({letterAns})"],{fontSize:15}); ]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. ","≤","≥")," ",number1); mcChoices=["a","b","c","d"]; selection = (choices[0]==ans)?0:-1; selection = (choices[1]==ans)?1:selection; selection = (choices[2]==ans)?2:selection; selection = (choices[3]==ans)?3:selection; letterAns=mcChoices[selection]; feedback=pick(ans,"Less than (<) means to include the numbers with a lower value. Do not include the value of the number.","Greater than (>) means include the numbers of higher value. Do not include the value of the number.","Less than or equal to (≤) means to include the number and all numbers that are a smaller value.","Greater than or equal to (≥) means include the number and all numbers of larger value."); ]]> none 0 1 0 1 selection choices[_0]==ans 1 1 The graph of {ques} is {_0:mcChoices}

]]>

]]> L52- Inequalities on the Number line - Real var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,22,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={a}; let B={b}; let C={c}; let D={d}; var numLine = board.create('axis', [[0, 18],[10, 18]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,18.5,"(a)"],{fontSize:15}); var numLine = board.create('axis', [[0, 12],[10, 12]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (B===0){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===1){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===2){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===3){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,12.5,"(b)"],{fontSize:15}); var numLine = board.create('axis', [[0, 6],[10, 6]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (C===0){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===1){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===2){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===3){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,6.5,"(c)"],{fontSize:15}); var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (D===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"(d)"],{fontSize:15}); ]]> {feedback}

The correct graph is:

var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,5,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={ans}; var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"({letterAns})"],{fontSize:15}); ]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. ","≤","≥")," ",number1); mcChoices=["a","b","c","d"]; selection = (choices[0]==ans)?0:-1; selection = (choices[1]==ans)?1:selection; selection = (choices[2]==ans)?2:selection; selection = (choices[3]==ans)?3:selection; letterAns=mcChoices[selection]; feedback=pick(ans,"Less than (<) means to include the numbers with a lower value. Do not include the value of the number.","Greater than (>) means include the numbers of higher value. Do not include the value of the number.","Less than or equal to (≤) means to include the number and all numbers that are a smaller value.","Greater than or equal to (≥) means include the number and all numbers of larger value."); ]]> none 0 1 0 1 selection choices[_0]==ans 1 1 The graph of {ques} is {_0:mcChoices}

]]>

]]> L52-Length unit rates Enter the missing measurement to make a true statement.

]]> It is helpful to memorize the equations used for unit rates.

{ans} {unit0} = 1 {unit1}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. randRate={0,1,2,3}; abc 0 1 0 1 ans _err == 0 1 1 {_0} {unit0} = 1 {unit1}

]]> L52-Metric Equal Measures Enter the missing measurement to make a true statement.

]]> It is helpful to memorize the equations used for unit rates.

{ans} {unit0} = 1 {unit1}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. randRate={0,1,2}; abc 0 1 0 1 ans _err == 0 1 1 {_0} {unit0} = 1 {unit1}

]]> L52-time unit rates Enter the missing measurement to make a true statement.

]]> It is helpful to memorize the equation used for unit rates.

{ans} {unit0} = 1 {unit1}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. randRate={0,1,2,3,4,5,6,7}; abc 0 1 0 1 ans _err == 0 1 1 {_0} {unit0} = 1 {unit1}

]]> L52-volume and capacity unit rates Enter the missing measurement to make a true statement.

]]> It is helpful to memorize the equations used for unit rates.

{ans} {unit0} = 1 {unit1}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. randRate={0,1,2,3}; abc 0 1 0 1 ans _err == 0 1 1 {_0} {unit0} = 1 {unit1}

]]> $course$/top/Default for MSII/Test #7/L53- Solve Addition and Subtraction Inequalities/L53- Problem Solving - Patterns L53- solve-graph Add inequalities
]]> 2.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. ","≤","≥")," ",number1+offset); mcChoices=["a","b","c","d"]; selection = (choices[0]==ans)?0:-1; selection = (choices[1]==ans)?1:selection; selection = (choices[2]==ans)?2:selection; selection = (choices[3]==ans)?3:selection; letterAns=mcChoices[selection]; feedback=pick(ans,"Less than (<) means to include the numbers with a lower value. Do not include the value of the number.","Greater than (>) means include the numbers of higher value. Do not include the value of the number.","Less than or equal to (≤) means to include the number and all numbers that are a smaller value.","Greater than or equal to (≥) means include the number and all numbers of larger value."); ineq=["<",">","≤","≥"]; FBp1=pick(ans,"less than","greater than","less than","greater than"); test=pick(ans,number1-1,number1+1,number1-1,number1+1);]]> none 0 1 0 2 [ans,number1] _err == 0 1 1 The solution to the inequality is {name} {_0:ineq:MCE} {_1}

]]>

{name} + {offset} {=ineq[ans]} {=number1+offset}

   Given

  - {offset}      -{offset}

 Subtract {offset} from both sides

{name}  {=ineq[ans]} {number1}

 Simplify

Check the answer

{name} + {offset} {=ineq[ans]} {=number1+offset}

 Given

{test} + {offset} {=ineq[ans]} {=number1+offset}

 The inequality is {=ineq[ans]} so
choose a number {FBp1} {number1}.
In the example I will use {test} as your substitution.

{=test+offset} {=ineq[ans]} {=number1+offset}

 Simplify
Since it is a true statement,
the solution is correct.
]]> 1 1 0 1 selection choices[_0]==ans 1 1 {_0:mcChoices}


var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,22,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={a}; let B={b}; let C={c}; let D={d}; var numLine = board.create('axis', [[0, 18],[10, 18]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,18.5,"(a)"],{fontSize:15}); var numLine = board.create('axis', [[0, 12],[10, 12]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (B===0){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===1){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===2){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===3){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,12.5,"(b)"],{fontSize:15}); var numLine = board.create('axis', [[0, 6],[10, 6]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (C===0){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===1){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===2){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===3){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,6.5,"(c)"],{fontSize:15}); var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (D===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"(d)"],{fontSize:15}); ]]> var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,5,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={ans}; var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"({letterAns})"],{fontSize:15}); ]]> L53- solve-graph Subt inequalities
]]> 2.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. ","≤","≥")," ",number1-offset); mcChoices=["a","b","c","d"]; selection = (choices[0]==ans)?0:-1; selection = (choices[1]==ans)?1:selection; selection = (choices[2]==ans)?2:selection; selection = (choices[3]==ans)?3:selection; letterAns=mcChoices[selection]; feedback=pick(ans,"Less than (<) means to include the numbers with a lower value. Do not include the value of the number.","Greater than (>) means include the numbers of higher value. Do not include the value of the number.","Less than or equal to (≤) means to include the number and all numbers that are a smaller value.","Greater than or equal to (≥) means include the number and all numbers of larger value."); ineq=["<",">","≤","≥"]; FBp1=pick(ans,"less than","greater than","less than","greater than"); test=pick(ans,number1-1,number1+1,number1-1,number1+1);]]> none 0 1 0 2 [ans,number1] _err == 0 1 1 The solution to the inequality is {name} {_0:ineq:MCE} {_1}

]]>

{name} - {offset} {=ineq[ans]} {=number1-offset}

   Given

  + {offset}      +{offset}

 Add {offset} to both sides

{name}  {=ineq[ans]} {number1}

 Simplify

Check the answer

{name} - {offset} {=ineq[ans]} {=number1-offset}

 Given

{test} - {offset} {=ineq[ans]} {=number1-offset}

 The inequality is {=ineq[ans]} so
choose a number {FBp1} {number1}.
In the example I will use {test} as the substitution.

{=test-offset} {=ineq[ans]} {=number1-offset}

 Simplify
Since it is a true statement,
the solution is correct.
]]> 1 1 0 1 selection choices[_0]==ans 1 1 {_0:mcChoices}


var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,22,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={a}; let B={b}; let C={c}; let D={d}; var numLine = board.create('axis', [[0, 18],[10, 18]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,18.5,"(a)"],{fontSize:15}); var numLine = board.create('axis', [[0, 12],[10, 12]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (B===0){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===1){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===2){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===3){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,12.5,"(b)"],{fontSize:15}); var numLine = board.create('axis', [[0, 6],[10, 6]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (C===0){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===1){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===2){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===3){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,6.5,"(c)"],{fontSize:15}); var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (D===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"(d)"],{fontSize:15}); ]]> var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,5,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={ans}; var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"({letterAns})"],{fontSize:15}); ]]> L53-Problem Solving- perimeter A regular polygon is a polygon with all sides the same length, and all angles the same measurement. Find the perimeter of a {=polygon[shape]} with sides = {side} {unit}.   

]]> A {=polygon[shape]} has {shape} sides.

To find the perimeter, multiply the length of one side by {shape}.

P=(the number of sides) times (the length of one side)

P = ({shape})({side}) 

P = {perimeter} {unit}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. 2"),join("",unit,"3")]; perimeter=shape*side;]]> none 0 1 0 2 [perimeter,0] _err == 0 1 1 The perimeter= {_0} {_1:units}

]]> $course$/top/Default for MSII/Test #7/L55- Sets and Matrices L55-Addition matrices 2x2 \(\mathbf{B}=\begin{bmatrix}{b11}&{b12}\\{b21}&{b22}\end{bmatrix}\)

]]> Both matrices are 2 by 2.

Add the corresponding elements of the matrices.

\(\mathbf{A+B}=\begin{bmatrix}{{a11}+{b11}}&{{a12}+{b12}}\\{{a21}+{b21}}&{{a22}+{b22}}\end{bmatrix}\)

\(\mathbf{A+B}=\begin{bmatrix}{y11}&{y12}\\{y21}&{y22}\end{bmatrix}\)

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a11={-9:9:1}; a12={-9:9:1}; a21={-9:9:1}; a22={-9:9:1}; b11={-9:9:1}; b12={-9:9:1}; b21={-9:9:1}; b22={-9:9:1}; y11=a11+b11; y12=a12+b12; y21=a21+b21; y22=a22+b22; abc 0 1 0 4 [y11,y12,y21,y22] _err == 0 1 1 A+B = {_0} {_1} {_2} {_3} ]]> L55-Addition matrices 2x3 \(\mathbf{B}=\begin{bmatrix}{b11}&{b12}&{b13}\\{b21}&{b22}&{b23}\end{bmatrix}\)

]]> Both matrices are 2 by 2.

Add the corresponding elements of the matrices.

\(\mathbf{A+B}=\begin{bmatrix}{{a11}+{b11}}&{{a12}+{b12}}&{{a13}+{b13}}\\{{a21}+{b21}}&{{a22}+{b22}}&{{a23}+{b23}}\end{bmatrix}\)

\(\mathbf{A+B}=\begin{bmatrix}{y11}&{y12}&{y13}\\{y21}&{y22}&{y23}\end{bmatrix}\)

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a11={-9:9:1}; a12={-9:9:1}; a13={-9:9:1}; a21={-9:9:1}; a22={-9:9:1}; a23={-9:9:1}; b11={-9:9:1}; b12={-9:9:1}; b13={-9:9:1}; b21={-9:9:1}; b22={-9:9:1}; b23={-9:9:1}; y11=a11+b11; y12=a12+b12; y13=a13+b13; y21=a21+b21; y22=a22+b22; y23=a23+b23; abc 0 1 0 6 [y11,y12,y13,y21,y22,y23] _err == 0 1 1 A+B = {_0} {_1} {_2} {_3} {_4} {_5} ]]> L55-matrices 2x2 ]]> It is a 2 by 2 matrix.

The matrix size is the number of rows to the number of columns.

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a11={-9:9:1}; a12={-9:9:1}; a21={-9:9:1}; a22={-9:9:1}; abc 0 1 0 2 [2,2] _err == 0 1 1 The matrix is a {_0} by {_1} matrix

]]> L55-matrices 2x3 ]]> It is a 2 by 3 matrix.

The matrix has 2 rows and 3 columns.

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a11={-9:9:1}; a12={-9:9:1}; a13={-9:9:1}; a21={-9:9:1}; a22={-9:9:1}; a23={-9:9:1}; abc 0 1 0 2 [2,3] _err == 0 1 1 The matrix is a {_0} by {_1} matrix

]]> L55-matrices 3x3 ]]> It is a 3 by 3 matrix.

The matrix has 3 rows and 3 columns.

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a11={-9:9:1}; a12={-9:9:1}; a13={-9:9:1}; a21={-9:9:1}; a22={-9:9:1}; a23={-9:9:1}; a31={-9:9:1}; a32={-9:9:1}; a33={-9:9:1}; abc 0 1 0 2 [3,3] _err == 0 1 1 The matrix is a {_0} by {_1} matrix

]]> L55-matrices 3x4 ]]> It is a 3 by 4 matrix.

The matrix has 3 rows and 4 columns.

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a11={-9:9:1}; a12={-9:9:1}; a13={-9:9:1}; a14={-9:9:1}; a21={-9:9:1}; a22={-9:9:1}; a23={-9:9:1}; a24={-9:9:1}; a31={-9:9:1}; a32={-9:9:1}; a33={-9:9:1}; a34={-9:9:1}; abc 0 1 0 2 [3,4] _err == 0 1 1 The matrix is a {_0} by {_1} matrix

]]> L55 - set of even numbers Choose the numbers that are included in the set of even numbers from 1 to 10. (Enter the numbers from smallest to largest.)

[[1]] [[8]], [[10]], [[12]], [[14]], [[16]] [[2]]

]]> The set of even numbers from 2 to 10 is { 2, 4, 6, 8, 10 }

]]> 1.0000000 0.3333333 0 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. { 1 } 1 ( 1 ) 1 [ 1 ] 1 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2 L55 - set of odd numbers Choose the numbers that are included in the set of odd numbers from 1 to 10. (Enter the numbers from smallest to largest.)

[[1]] [[7]], [[9]], [[11]], [[13]], [[15]] [[2]]

]]> The set of even numbers from 2 to 10 is { 1, 3, 5, 7, 9 }

]]> 1.0000000 0.3333333 0 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. { 1 } 1 ( 1 ) 1 [ 1 ] 1 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2 L55- Match set with description Match the set with each description

]]> 1.0000000 0.3333333 0 true Your answer is correct. Your answer is partially correct. Your answer is incorrect. The set of integers

]]> {..., -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6...} The set of natural or counting numbers

]]> {1, 2, 3, 4, 5, 6, ...} The set of whole numbers

]]> {0, 1, 2, 3, 4, 5,... } L55- Sets The symbol placed around a set, or group of items in a collection, is:

]]> 1.0000000 0.3333333 0 true true none 1 Your answer is correct. Your answer is partially correct. Your answer is incorrect. ( )

]]> No, this is not correct

]]> {  }

]]> Correct, Curly brackets are written around the data part of a set.

]]> [  ]

]]> this is not the correct answer.

]]> "  "

]]> This is not the correct answer.

]]> $course$/top/Default for MSII/Test #7/L53- Solve Addition and Subtraction Inequalities L53- solve-graph Add inequalities
]]> 2.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. ","≤","≥")," ",number1+offset); mcChoices=["a","b","c","d"]; selection = (choices[0]==ans)?0:-1; selection = (choices[1]==ans)?1:selection; selection = (choices[2]==ans)?2:selection; selection = (choices[3]==ans)?3:selection; letterAns=mcChoices[selection]; feedback=pick(ans,"Less than (<) means to include the numbers with a lower value. Do not include the value of the number.","Greater than (>) means include the numbers of higher value. Do not include the value of the number.","Less than or equal to (≤) means to include the number and all numbers that are a smaller value.","Greater than or equal to (≥) means include the number and all numbers of larger value."); ineq=["<",">","≤","≥"]; FBp1=pick(ans,"less than","greater than","less than","greater than"); test=pick(ans,number1-1,number1+1,number1-1,number1+1);]]> none 0 1 0 2 [ans,number1] _err == 0 1 1 The solution to the inequality is {name} {_0:ineq:MCE} {_1}

]]>

{name} + {offset} {=ineq[ans]} {=number1+offset}

   Given

  - {offset}      -{offset}

 Subtract {offset} from both sides

{name}  {=ineq[ans]} {number1}

 Simplify

Check the answer

{name} + {offset} {=ineq[ans]} {=number1+offset}

 Given

{test} + {offset} {=ineq[ans]} {=number1+offset}

 The inequality is {=ineq[ans]} so
choose a number {FBp1} {number1}.
In the example I will use {test} as your substitution.

{=test+offset} {=ineq[ans]} {=number1+offset}

 Simplify
Since it is a true statement,
the solution is correct.
]]> 1 1 0 1 selection choices[_0]==ans 1 1 {_0:mcChoices}


var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,22,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={a}; let B={b}; let C={c}; let D={d}; var numLine = board.create('axis', [[0, 18],[10, 18]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,18.5,"(a)"],{fontSize:15}); var numLine = board.create('axis', [[0, 12],[10, 12]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (B===0){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===1){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===2){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===3){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,12.5,"(b)"],{fontSize:15}); var numLine = board.create('axis', [[0, 6],[10, 6]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (C===0){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===1){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===2){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===3){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,6.5,"(c)"],{fontSize:15}); var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (D===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"(d)"],{fontSize:15}); ]]> var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,5,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={ans}; var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"({letterAns})"],{fontSize:15}); ]]> L53- solve-graph Add inequalities
]]> 2.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. ","≤","≥")," ",number1+offset); mcChoices=["a","b","c","d"]; selection = (choices[0]==ans)?0:-1; selection = (choices[1]==ans)?1:selection; selection = (choices[2]==ans)?2:selection; selection = (choices[3]==ans)?3:selection; letterAns=mcChoices[selection]; feedback=pick(ans,"Less than (<) means to include the numbers with a lower value. Do not include the value of the number.","Greater than (>) means include the numbers of higher value. Do not include the value of the number.","Less than or equal to (≤) means to include the number and all numbers that are a smaller value.","Greater than or equal to (≥) means include the number and all numbers of larger value."); ineq=["<",">","≤","≥"]; FBp1=pick(ans,"less than","greater than","less than","greater than"); test=pick(ans,number1-1,number1+1,number1-1,number1+1);]]> none 0 1 0 2 [ans,number1] _err == 0 1 1 The solution to the inequality is {name} {_0:ineq:MCE} {_1}

]]>

{name} + {offset} {=ineq[ans]} {=number1+offset}

   Given

  - {offset}      -{offset}

 Subtract {offset} from both sides

{name}  {=ineq[ans]} {number1}

 Simplify

Check the answer

{name} + {offset} {=ineq[ans]} {=number1+offset}

 Given

{test} + {offset} {=ineq[ans]} {=number1+offset}

 The inequality is {=ineq[ans]} so
choose a number {FBp1} {number1}.
In the example I will use {test} as your substitution.

{=test+offset} {=ineq[ans]} {=number1+offset}

 Simplify
Since it is a true statement,
the solution is correct.
]]> 1 1 0 1 selection choices[_0]==ans 1 1 {_0:mcChoices}


var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,22,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={a}; let B={b}; let C={c}; let D={d}; var numLine = board.create('axis', [[0, 18],[10, 18]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,18.5,"(a)"],{fontSize:15}); var numLine = board.create('axis', [[0, 12],[10, 12]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (B===0){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===1){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===2){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===3){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,12.5,"(b)"],{fontSize:15}); var numLine = board.create('axis', [[0, 6],[10, 6]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (C===0){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===1){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===2){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===3){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,6.5,"(c)"],{fontSize:15}); var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (D===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"(d)"],{fontSize:15}); ]]> var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,5,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={ans}; var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"({letterAns})"],{fontSize:15}); ]]> L53- solve-graph Add inequalities
]]> 2.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. ","≤","≥")," ",number1+offset); mcChoices=["a","b","c","d"]; selection = (choices[0]==ans)?0:-1; selection = (choices[1]==ans)?1:selection; selection = (choices[2]==ans)?2:selection; selection = (choices[3]==ans)?3:selection; letterAns=mcChoices[selection]; feedback=pick(ans,"Less than (<) means to include the numbers with a lower value. Do not include the value of the number.","Greater than (>) means include the numbers of higher value. Do not include the value of the number.","Less than or equal to (≤) means to include the number and all numbers that are a smaller value.","Greater than or equal to (≥) means include the number and all numbers of larger value."); ineq=["<",">","≤","≥"]; FBp1=pick(ans,"less than","greater than","less than","greater than"); test=pick(ans,number1-1,number1+1,number1-1,number1+1);]]> none 0 1 0 2 [ans,number1] _err == 0 1 1 The solution to the inequality is {name} {_0:ineq:MCE} {_1}

]]>

{name} + {offset} {=ineq[ans]} {=number1+offset}

   Given

  - {offset}      -{offset}

 Subtract {offset} from both sides

{name}  {=ineq[ans]} {number1}

 Simplify

Check the answer

{name} + {offset} {=ineq[ans]} {=number1+offset}

 Given

{test} + {offset} {=ineq[ans]} {=number1+offset}

 The inequality is {=ineq[ans]} so
choose a number {FBp1} {number1}.
In the example I will use {test} as your substitution.

{=test+offset} {=ineq[ans]} {=number1+offset}

 Simplify
Since it is a true statement,
the solution is correct.
]]> 1 1 0 1 selection choices[_0]==ans 1 1 {_0:mcChoices}


var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,22,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={a}; let B={b}; let C={c}; let D={d}; var numLine = board.create('axis', [[0, 18],[10, 18]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,18.5,"(a)"],{fontSize:15}); var numLine = board.create('axis', [[0, 12],[10, 12]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (B===0){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===1){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===2){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===3){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,12.5,"(b)"],{fontSize:15}); var numLine = board.create('axis', [[0, 6],[10, 6]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (C===0){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===1){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===2){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===3){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,6.5,"(c)"],{fontSize:15}); var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (D===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"(d)"],{fontSize:15}); ]]> var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,5,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={ans}; var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"({letterAns})"],{fontSize:15}); ]]> L53- solve-graph Subt inequalities
]]> 2.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. ","≤","≥")," ",number1-offset); mcChoices=["a","b","c","d"]; selection = (choices[0]==ans)?0:-1; selection = (choices[1]==ans)?1:selection; selection = (choices[2]==ans)?2:selection; selection = (choices[3]==ans)?3:selection; letterAns=mcChoices[selection]; feedback=pick(ans,"Less than (<) means to include the numbers with a lower value. Do not include the value of the number.","Greater than (>) means include the numbers of higher value. Do not include the value of the number.","Less than or equal to (≤) means to include the number and all numbers that are a smaller value.","Greater than or equal to (≥) means include the number and all numbers of larger value."); ineq=["<",">","≤","≥"]; FBp1=pick(ans,"less than","greater than","less than","greater than"); test=pick(ans,number1-1,number1+1,number1-1,number1+1);]]> none 0 1 0 2 [ans,number1] _err == 0 1 1 The solution to the inequality is {name} {_0:ineq:MCE} {_1}

]]>

{name} - {offset} {=ineq[ans]} {=number1-offset}

   Given

  + {offset}      +{offset}

 Add {offset} to both sides

{name}  {=ineq[ans]} {number1}

 Simplify

Check the answer

{name} - {offset} {=ineq[ans]} {=number1-offset}

 Given

{test} - {offset} {=ineq[ans]} {=number1-offset}

 The inequality is {=ineq[ans]} so
choose a number {FBp1} {number1}.
In the example I will use {test} as the substitution.

{=test-offset} {=ineq[ans]} {=number1-offset}

 Simplify
Since it is a true statement,
the solution is correct.
]]> 1 1 0 1 selection choices[_0]==ans 1 1 {_0:mcChoices}


var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,22,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={a}; let B={b}; let C={c}; let D={d}; var numLine = board.create('axis', [[0, 18],[10, 18]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,18.5,"(a)"],{fontSize:15}); var numLine = board.create('axis', [[0, 12],[10, 12]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (B===0){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===1){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===2){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===3){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,12.5,"(b)"],{fontSize:15}); var numLine = board.create('axis', [[0, 6],[10, 6]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (C===0){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===1){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===2){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===3){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,6.5,"(c)"],{fontSize:15}); var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (D===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"(d)"],{fontSize:15}); ]]> var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,5,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={ans}; var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"({letterAns})"],{fontSize:15}); ]]> L53- solve-graph Subt inequalities
]]> 2.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. ","≤","≥")," ",number1-offset); mcChoices=["a","b","c","d"]; selection = (choices[0]==ans)?0:-1; selection = (choices[1]==ans)?1:selection; selection = (choices[2]==ans)?2:selection; selection = (choices[3]==ans)?3:selection; letterAns=mcChoices[selection]; feedback=pick(ans,"Less than (<) means to include the numbers with a lower value. Do not include the value of the number.","Greater than (>) means include the numbers of higher value. Do not include the value of the number.","Less than or equal to (≤) means to include the number and all numbers that are a smaller value.","Greater than or equal to (≥) means include the number and all numbers of larger value."); ineq=["<",">","≤","≥"]; FBp1=pick(ans,"less than","greater than","less than","greater than"); test=pick(ans,number1-1,number1+1,number1-1,number1+1);]]> none 0 1 0 2 [ans,number1] _err == 0 1 1 The solution to the inequality is {name} {_0:ineq:MCE} {_1}

]]>

{name} - {offset} {=ineq[ans]} {=number1-offset}

   Given

  + {offset}      +{offset}

 Add {offset} to both sides

{name}  {=ineq[ans]} {number1}

 Simplify

Check the answer

{name} - {offset} {=ineq[ans]} {=number1-offset}

 Given

{test} - {offset} {=ineq[ans]} {=number1-offset}

 The inequality is {=ineq[ans]} so
choose a number {FBp1} {number1}.
In the example I will use {test} as the substitution.

{=test-offset} {=ineq[ans]} {=number1-offset}

 Simplify
Since it is a true statement,
the solution is correct.
]]> 1 1 0 1 selection choices[_0]==ans 1 1 {_0:mcChoices}


var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,22,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={a}; let B={b}; let C={c}; let D={d}; var numLine = board.create('axis', [[0, 18],[10, 18]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,18.5,"(a)"],{fontSize:15}); var numLine = board.create('axis', [[0, 12],[10, 12]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (B===0){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===1){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===2){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===3){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,12.5,"(b)"],{fontSize:15}); var numLine = board.create('axis', [[0, 6],[10, 6]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (C===0){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===1){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===2){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===3){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,6.5,"(c)"],{fontSize:15}); var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (D===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"(d)"],{fontSize:15}); ]]> var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,5,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={ans}; var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"({letterAns})"],{fontSize:15}); ]]> L53- solve-graph Subt inequalities
]]> 2.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. ","≤","≥")," ",number1-offset); mcChoices=["a","b","c","d"]; selection = (choices[0]==ans)?0:-1; selection = (choices[1]==ans)?1:selection; selection = (choices[2]==ans)?2:selection; selection = (choices[3]==ans)?3:selection; letterAns=mcChoices[selection]; feedback=pick(ans,"Less than (<) means to include the numbers with a lower value. Do not include the value of the number.","Greater than (>) means include the numbers of higher value. Do not include the value of the number.","Less than or equal to (≤) means to include the number and all numbers that are a smaller value.","Greater than or equal to (≥) means include the number and all numbers of larger value."); ineq=["<",">","≤","≥"]; FBp1=pick(ans,"less than","greater than","less than","greater than"); test=pick(ans,number1-1,number1+1,number1-1,number1+1);]]> none 0 1 0 2 [ans,number1] _err == 0 1 1 The solution to the inequality is {name} {_0:ineq:MCE} {_1}

]]>

{name} - {offset} {=ineq[ans]} {=number1-offset}

   Given

  + {offset}      +{offset}

 Add {offset} to both sides

{name}  {=ineq[ans]} {number1}

 Simplify

Check the answer

{name} - {offset} {=ineq[ans]} {=number1-offset}

 Given

{test} - {offset} {=ineq[ans]} {=number1-offset}

 The inequality is {=ineq[ans]} so
choose a number {FBp1} {number1}.
In the example I will use {test} as the substitution.

{=test-offset} {=ineq[ans]} {=number1-offset}

 Simplify
Since it is a true statement,
the solution is correct.
]]> 1 1 0 1 selection choices[_0]==ans 1 1 {_0:mcChoices}


var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,22,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={a}; let B={b}; let C={c}; let D={d}; var numLine = board.create('axis', [[0, 18],[10, 18]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},18],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,18],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,18.5,"(a)"],{fontSize:15}); var numLine = board.create('axis', [[0, 12],[10, 12]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (B===0){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===1){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===2){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (B===3){ var pA1=board.create('point',[{number1},12],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,12],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,12.5,"(b)"],{fontSize:15}); var numLine = board.create('axis', [[0, 6],[10, 6]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (C===0){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===1){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===2){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (C===3){ var pA1=board.create('point',[{number1},6],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,6],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,6.5,"(c)"],{fontSize:15}); var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (D===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (D===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"(d)"],{fontSize:15}); ]]> var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox:[-1,5,11,-10], axis:false, ShowCopyright: false, showNavigation:false}); let A={ans}; var numLine = board.create('axis', [[0, 0],[10, 0]], {firstArrow: true,lastArrow: true,ticks: {insertTicks: false,drawZero: true,majorHeight: 4,minorHeight: 0,minorTicks: 1,tickEndings: [5, 6],ticksDistance: 1,strokeColor: '#121212',label: {offset: [-.5, -20]}}}); if (A===0){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:3}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===1){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA1w=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:"",size:1,strokeColor:'#FFFFFF',fillColor:'#FFFFFF'}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===2){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[0,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } else if (A===3){ var pA1=board.create('point',[{number1},0],{fixed:true,showInfobox:false,name:""}); var pA0=board.create('point',[10,0],{fixed:true,showInfobox:false,name:"",size:0}); var l1=board.create('line',[pA1,pA0],{firstArrow:false,lastArrow:true,straightFirst:false,straightLast:false,strokeColor:'#FF0000'}); } var tA=board.create('text',[-.7,0.5,"({letterAns})"],{fontSize:15}); ]]> $course$/top/Default for MSII/Test #7/L54-Proportions L54 - proportion-missing Num Find the missing numerator ]]> Use the identity property of multiplication.

A number multiplied by one equals the number.  (7 • 1 = 7)

\(\frac{{factor}}{{factor}}\) = 1

\( \frac{{num}}{{den}} \) • \(\frac{{factor}}{{factor}}\) = \( \frac{{ansNum}}{{ansDen}} \)

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. factor={2,3,4,5,6,7,8,9,10}; randFrac={[1,2],[1,3],[2,3],[1,4],[2,4],[3,4],[1,5],[1,6],[1,8],[1,9],[1,10],[2,3],[3,4],[2,5],[5,6],[3,8],[2,9],[3,10],[3,5],[5,8],[4,9],[7,8],[7,9],[9,10],[4,5],[2,6],[3,6],[4,6],[5,6]}; num=randFrac[0]; den=randFrac[1]; ansNum=num*factor; ansDen=den*factor; abc 0 1 0 1 ansNum _err == 0 1 1
{num}
{den}
=
{_0}
{=den*factor}
]]> L54- equal or not? Determine if the ratios are equal.

]]>

{a} {=choice[ans]} {c}
{b} {d}

Determine if the cross products are equal.

({d})({a}) = {=d*a}

({b})({c}) = {=c*b}

Since {=d*a} {=choice[ans]} {=c*b}, the answer is {=choice[ans]}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a={1:10:1}; b={1:10:1}; c={1:10:1}; d={1:10:1}; equal={0,1}; factor={1:10:1} abc 0 1 0 1 ans _err == 0 1 1 {a} {_0:choice:MCE} {c} {b} {d} ]]> L54- find missing den Solve each proportion.

]]>

{a}  = {c}
{var} {d}
The cross products of a proportion are equal.

({d})({a}) = {c}{var}

{da} = {c}{var}

\(\frac{{da}}{{c}}\) = \(\frac{{c}{var}}{{c}}\)   Divide both sides by {c}

{b} = {var}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. abc 0 1 0 1 b _err == 0 1 1 {a}  =  {c} {var} {d}
{var} = {_0}
]]> L54- find missing den(decimal Num) Solve each proportion.

]]>

{a}  = {c}
{var} {d}
The cross products of a proportion are equal.

({d})({a}) = {c}{var}

{da} = {c}{var}

\(\frac{{da}}{{c}}\) = \(\frac{{c}{var}}{{c}}\)   Divide both sides by {c}

{b} = {var}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. abc 0 1 0 1 b _err == 0 1 1 {a}  =  {c} {var} {d}
{var} = {_0}
]]> L54- find missing den-Right Solve each proportion.

]]>

{a}  = {c}
{b} {var}
The cross products of a proportion are equal.

{a}{var} = ({c})({b})

{a}{var} = {cb}

\(\frac{{a}{var}}{{a}}\) = \(\frac{{cb}}{{a}}\)   Divide both sides by {a}

{var} = {d}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. abc 0 1 0 1 d _err == 0 1 1 {a}  =  {c} {b} {var}
{var} = {_0}
]]> L54- find missing num Solve each proportion.

]]>

{var}  = {c}
{b} {d}
The cross products of a proportion are equal.

({d}){var} = ({c})({b})

{d}{var} = {=bc}

\(\frac{{d}{var}}{{d}}\) = \(\frac{({bc})}{{d}}\)   Divide both sides by {d}

{var} = {a}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. abc 0 1 0 1 a _err == 0 1 1 {var}  =  {c} {b} {d}
{var} = {_0}
]]> L54- find missing num (decimal num) Solve each proportion.

]]>

{var}  = {c}
{b} {d}
The cross products of a proportion are equal.

({d}){var} = ({c})({b})

{d}{var} = {=bc}

\(\frac{{d}{var}}{{d}}\) = \(\frac{({bc})}{{d}}\)   Divide both sides by {d}

{var} = {a}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. abc 0 1 0 1 a _err == 0 1 1 {var}  =  {c} {b} {d}
{var} = {_0}
]]> L54- find missing num-Right Solve each proportion.

]]>

{a}  = {var}
{b} {d}
The cross products of a proportion are equal.

({d})({a}) = {b}{var}

{da} = {b}{var}

\(\frac{{da}}{{b}}\) = \(\frac{{b}{var}}{{b}}\)   Divide both sides by {b}

{var} = {c}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. abc 0 1 0 1 c _err == 0 1 1 {a}  =  {var} {b} {d}
{var} = {_0}
]]> L54- Proportion - missing Denominator The ratio of {units[0]} to {units[1]} is {b} to {totb}.  How many {units[1]} are there if there are {ansNum} {units[0]}?

]]>
{b} {units[0]} 
{totb} {units[1]}

=
{ansNum} {units[0]} 
x {units[1]}

Set up a proportion to determine the number of {units[0]}
(x)({b}) = ({totb})({ansNum}) Since the cross products must be equal.
Determine the cross products
{b}x = ({totbNum}) Simplify \(\frac{({b}x)}{{b}}\) = \(\frac{{totbNum}}{{b}}\) Solve for the unknown amount by dividing both sides by {b}. x = {ansDen} Simplify ]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. first=a*b; second=b*factor; 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; ansDen=factor*totb; ansNum=factor*b; ansDenb=ansDen*b; totbNum=totb*ansNum; abc 0 1 0 1 ansDen 1 1 ]]> L54- Proportion - missing Numerator The ratio of {units[0]} to {units[1]} is {b} to {totb}.  How many {units[0]} are there if there are {ansDen} {units[1]}?

]]>
{b} {units[0]} 
{totb} {units[2]}

=
x {units[0]} 
{ansDen} {units[2]}

Set up a proportion to determine the number of {units[0]}
({ansDen})({b}) = ({totb})(x) Since the cross products must be equal.
Determine the cross products
{ansDenb} = ({totb})(x) Simplify \(\frac{({ansDenb})}{{totb}}\) = \(\frac{({totb})(x)}{totb}\) Solve for the unknown amount by dividing both sides by {totb}. {ansNum}= x Simplify ]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. 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; ansDen=factor*totb; ansNum=factor*b; ansDenb=ansDen*b; abc 0 1 0 1 ansNum 1 1 ]]> $course$/top/Default for MSII/Test #7/L55- Sets and Matrices/L55- Addition of Matrices L55-Addition matrices 2x2 \(\mathbf{B}=\begin{bmatrix}{b11}&{b12}\\{b21}&{b22}\end{bmatrix}\)

]]> Both matrices are 2 by 2.

Add the corresponding elements of the matrices.

\(\mathbf{A+B}=\begin{bmatrix}{{a11}+{b11}}&{{a12}+{b12}}\\{{a21}+{b21}}&{{a22}+{b22}}\end{bmatrix}\)

\(\mathbf{A+B}=\begin{bmatrix}{y11}&{y12}\\{y21}&{y22}\end{bmatrix}\)

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a11={-9:9:1}; a12={-9:9:1}; a21={-9:9:1}; a22={-9:9:1}; b11={-9:9:1}; b12={-9:9:1}; b21={-9:9:1}; b22={-9:9:1}; y11=a11+b11; y12=a12+b12; y21=a21+b21; y22=a22+b22; abc 0 1 0 4 [y11,y12,y21,y22] _err == 0 1 1 A+B = {_0} {_1} {_2} {_3} ]]> L55-Addition matrices 2x3 \(\mathbf{B}=\begin{bmatrix}{b11}&{b12}&{b13}\\{b21}&{b22}&{b23}\end{bmatrix}\)

]]> Both matrices are 2 by 2.

Add the corresponding elements of the matrices.

\(\mathbf{A+B}=\begin{bmatrix}{{a11}+{b11}}&{{a12}+{b12}}&{{a13}+{b13}}\\{{a21}+{b21}}&{{a22}+{b22}}&{{a23}+{b23}}\end{bmatrix}\)

\(\mathbf{A+B}=\begin{bmatrix}{y11}&{y12}&{y13}\\{y21}&{y22}&{y23}\end{bmatrix}\)

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a11={-9:9:1}; a12={-9:9:1}; a13={-9:9:1}; a21={-9:9:1}; a22={-9:9:1}; a23={-9:9:1}; b11={-9:9:1}; b12={-9:9:1}; b13={-9:9:1}; b21={-9:9:1}; b22={-9:9:1}; b23={-9:9:1}; y11=a11+b11; y12=a12+b12; y13=a13+b13; y21=a21+b21; y22=a22+b22; y23=a23+b23; abc 0 1 0 6 [y11,y12,y13,y21,y22,y23] _err == 0 1 1 A+B = {_0} {_1} {_2} {_3} {_4} {_5} ]]> $course$/top/Default for MSII/Test #7/L55- Sets and Matrices/L55- Size of Matrices L55-matrices 2x2 ]]> It is a 2 by 2 matrix.

The matrix size is the number of rows to the number of columns.

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a11={-9:9:1}; a12={-9:9:1}; a21={-9:9:1}; a22={-9:9:1}; abc 0 1 0 2 [2,2] _err == 0 1 1 The matrix is a {_0} by {_1} matrix

]]> L55-matrices 2x3 ]]> It is a 2 by 3 matrix.

The matrix has 2 rows and 3 columns.

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a11={-9:9:1}; a12={-9:9:1}; a13={-9:9:1}; a21={-9:9:1}; a22={-9:9:1}; a23={-9:9:1}; abc 0 1 0 2 [2,3] _err == 0 1 1 The matrix is a {_0} by {_1} matrix

]]> L55-matrices 3x3 ]]> It is a 3 by 3 matrix.

The matrix has 3 rows and 3 columns.

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a11={-9:9:1}; a12={-9:9:1}; a13={-9:9:1}; a21={-9:9:1}; a22={-9:9:1}; a23={-9:9:1}; a31={-9:9:1}; a32={-9:9:1}; a33={-9:9:1}; abc 0 1 0 2 [3,3] _err == 0 1 1 The matrix is a {_0} by {_1} matrix

]]> L55-matrices 3x4 ]]> It is a 3 by 4 matrix.

The matrix has 3 rows and 4 columns.

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. a11={-9:9:1}; a12={-9:9:1}; a13={-9:9:1}; a14={-9:9:1}; a21={-9:9:1}; a22={-9:9:1}; a23={-9:9:1}; a24={-9:9:1}; a31={-9:9:1}; a32={-9:9:1}; a33={-9:9:1}; a34={-9:9:1}; abc 0 1 0 2 [3,4] _err == 0 1 1 The matrix is a {_0} by {_1} matrix

]]> $course$/top/Default for MSII/Test #7/L55- Sets and Matrices/L55- Sets L55 - set of even numbers Choose the numbers that are included in the set of even numbers from 1 to 10. (Enter the numbers from smallest to largest.)

[[1]] [[8]], [[10]], [[12]], [[14]], [[16]] [[2]]

]]> The set of even numbers from 2 to 10 is { 2, 4, 6, 8, 10 }

]]> 1.0000000 0.3333333 0 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. { 1 } 1 ( 1 ) 1 [ 1 ] 1 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2 L55 - set of odd numbers Choose the numbers that are included in the set of odd numbers from 1 to 10. (Enter the numbers from smallest to largest.)

[[1]] [[7]], [[9]], [[11]], [[13]], [[15]] [[2]]

]]> The set of even numbers from 2 to 10 is { 1, 3, 5, 7, 9 }

]]> 1.0000000 0.3333333 0 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. { 1 } 1 ( 1 ) 1 [ 1 ] 1 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2 L55- Match set with description Match the set with each description

]]> 1.0000000 0.3333333 0 true Your answer is correct. Your answer is partially correct. Your answer is incorrect. The set of integers

]]> {..., -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6...} The set of natural or counting numbers

]]> {1, 2, 3, 4, 5, 6, ...} The set of whole numbers

]]> {0, 1, 2, 3, 4, 5,... } L55- Sets The symbol placed around a set, or group of items in a collection, is:

]]> 1.0000000 0.3333333 0 true true none 1 Your answer is correct. Your answer is partially correct. Your answer is incorrect. ( )

]]> No, this is not correct

]]> {  }

]]> Correct, Curly brackets are written around the data part of a set.

]]> [  ]

]]> this is not the correct answer.

]]> "  "

]]> This is not the correct answer.

]]> $course$/top/Default for MSII/Test #7/L56- Percent - Of/L56- Mentally percent of Mentally Computer Percent-Of (1%) Computer Mentally:  {percent}% of {number}

]]> 1% of {number} means \(\frac{1}{100}\) of the number.

To divide a number by 100, move the decimal two places to the left.

{percent}% of {number} equals {ans}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. number={10:100:10}; percent=1; ans=percent/100*number; abc 0 1 0 1 ans 1 1 Mentally Computer Percent-Of (10%) Computer Mentally:  {percent}% of {number}

]]> {percent}% of {number} means \(\frac{10}{100}\), or \(\frac{1}{10}\), of the number.

To divide a number by 10, move the decimal one places to the left.

{percent}% of {number} equals {ans}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. number={10:100:10}; percent=10; ans=percent/100*number; abc 0 1 0 1 ans 1 1 Mentally Computer Percent-Of (10,20,30,...90) Computer Mentally:  {percent}% of {number}

]]> 10% of {number} is {=number/10}.

{percent}% is {=percent/10} times 10%, therefore multiply {=number/10} by {=percent/10}.

{percent}% of {number} equals {ans}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={10,20,30,40,60,70,80,90}; number={10:100:10}; ans=percent/100*number; abc 0 1 0 1 ans 1 1 Mentally Computer Percent-Of (25%) Computer Mentally:  {percent}% of {number}

]]> 25% of {number} is one fourth of the number.

{percent}% of {number} means  (\( \frac{1}{4} \))( \(\frac{{number}}{1}\)) = \(\frac{{number}}{4}\)

To calculate the answer, divide {number} ÷4 = {ans}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. number={4:96:4}; percent=25; ans=percent/100*number; abc 0 1 0 1 ans 1 1 Mentally Computer Percent-Of (33 1/3%) Computer Mentally:  33\(\frac{1}{3}\)% of {number}

]]>  33\(\frac{1}{3}\)% of {number} means \(\frac{1}{3}\) of {number}.

Since  33\(\frac{1}{3}\)% equals \(\frac{1}{3}\), divide {number} by 3.

 33\(\frac{1}{3}\)% of {number} equals {ans}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. number={3:99:3}; percent=100/3; ans=percent/100*number; abc 0 1 0 1 ans 1 1 Mentally Computer Percent-Of (50%) Computer Mentally:  {percent}% of {number}

]]> {percent}% of {number} is one {fraction} of the number.

{percent}% of {number} means  (\( \frac{1}{{fracNum}} \))( \(\frac{{number}}{1}\)) = \(\frac{{number}}{{fracNum}}\)

To calculate the answer, divide {number} ÷ {fracNum} = {ans}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. number={2:100:2}; abc 0 1 0 1 ans 1 1 Mentally Computer Percent-Of (75%) Computer Mentally:  {percent}% of {number}

]]> {percent}% of {number} is three fourths of the number.

{percent}% of {number} means  (\( \frac{3}{4} \))( \(\frac{{number}}{1}\))

There are two ways to solve the question

 (\( \frac{3}{4} \))( \(\frac{{number}}{1}\)) = \(\frac{{number3}}{4}\)

To calculate the answer, divide {number3} ÷4 = {ans}

    

(\( \frac{3}{4} \))( \(\frac{{number}}{1}\))

To calculate the answer, (cross-cancel first) divide {number} ÷4, then multiply by 3.

{number} ÷4 = {=number/4}

{=number/4} x 3 = {ans}
]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. number={4:96:4}; percent=75; ans=percent/100*number; number3=number*3; abc 0 1 0 1 ans 1 1 Mentally Computer Percent-Of (greater than 100%) Computer Mentally:  {percent}% of {number}

]]> 100% of {number} means 1 times {number}.

Multiply {number} times {=percent/100} (because 100 times {=percent/100} = {percent}).

{percent}% of {number} equals {ans}

]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={100:1000:100}; number={1:80:1}; ans=percent/100*number; abc 0 1 0 1 ans 1 1 $course$/top/Default for MSII/Test #7/L56- Percent - Of/L56- Percent of find is Computer Percent-Of (less 100 - equation) Computer using an algebraic equation:  
{percent}% of {number}

]]> {percent}% = \(\frac{{percent}}{100}\)
Solve Percent of Questions with an Equation
Use {percent} for the percent.
 Of means multiply.
Is means equals.
{percent}% of {number}
% of a number is ________
(_______%)(number) = ________		       

Write the equation
({percent}%)({number}) = _______       

Substitute the Values
({=percent/100})({number}) = ______
       

Change percent to a decimal or a fraction. 
In this example I changed it to a decimal.
{ans}
       

Simplify

{percent}% of {number} = {ans}


]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99}; number={10:100:10}; ans=percent/100*number; numPer=number*percent; abc 0 1 0 1 ans 1 1 Computer Percent-Of (less 100 - proportion) Computer using a proportion:  
{percent}% of {number}

]]> {percent}% = \(\frac{{percent}}{100}\)
Solve Percent of Questions with a Proportion
Use {percent} for the percent.
Use {number} for of.
Solve for 'is'. Leave it as is, or substitute with a variable.
\(\frac{%}{100}\) = \(\frac{is}{of}\)      

Write the proportion

\(\frac{{percent}}{100}\) = \(\frac{is}{{number}}\)      

Substitute the Values

(100)(is) = ({number})({percent})
       

Cross Multiply
(100)(is) = ({numPer})
       

Simplify
\(\frac{(100)(is)}{100}\) = \(\frac{({numPer})}{100}\)
       

Divide both sides by 100
is = {ans}
       

Simplify


]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99}; number={10:100:10}; ans=percent/100*number; numPer=number*percent; abc 0 1 0 1 ans 1 1 $course$/top/Default for MSII/Test #7/L56- Percent - Of/L56- Percent of - find of Computer Percent-Of (find of - equation) Computer using an algebraic equation:  
{percent}% of a number is {ans}

]]> {percent}% = \(\frac{{percent}}{100}\)
Solve Percent of Questions with an Equation
Use {percent} for the percent.
 Of means multiply.
Is means equals.
{percent}% of a number is {ans}
% of _____ is ________
(_______%)(______) = ________		       

Write the equation
({percent}%)(x) = {ans}       

Substitute the Values. 
I used x to represent the unknown.
({decPer})(x) = {ans}
       

Change percent to a decimal or a fraction. 
In this example I changed it to a decimal.
\(\frac{({decPer})(x)}{{decPer}}\) = \(\frac{{ans}}{{decPer}}\)       

Divide both sides by {decPer}
x = {number} Simplify
{percent}% of {number} = {ans}


]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99}; number={10:100:10}; ans=percent/100*number; numPer=number*percent; decPer=percent/100; abc 0 1 0 1 number 1 1 Computer Percent-Of (find of - proportion) Computer using a proportion:  
{percent}% of a number is {ans}

]]> {percent}% = \(\frac{{percent}}{100}\)
Solve Percent of Questions with a Proportion
Use {percent} for the percent.
Use x for of. (of is the unknown)
Use {ans} for is.
\(\frac{%}{100}\) = \(\frac{is}{of}\)      

Write the proportion

\(\frac{{percent}}{100}\) = \(\frac{{ans}}{x}\)      

Substitute the Values

(100)({ans}) = (x)({percent})
       

Cross Multiply
({=ans*100}) = {percent}x
       

Simplify
\(\frac{{=ans*100}}{{percent}}\) = \(\frac{{percent}x}{{percent}}\)
       

Divide both sides by {percent}
{number} = x
       

Simplify


]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99}; number={10:100:10}; ans=percent/100*number; numPer=number*percent; abc 0 1 0 1 number 1 1 $course$/top/Default for MSII/Test #7/L56- Percent - Of/L56- Percent is of - find Percent L56- Compute Percent-Of (find percent - equation) Compute using an algebraic equation:  
What percent of {number} is {ans}?

]]> Solve Percent of Questions with an Equation  Of means multiply.
Is means equals. ____% of {number} is {ans}
% of _____ is ________
(_______%)(______) = ________       

Write the equation

(x)({number}) = {ans}       

Substitute the Values. 
I used x to represent the unknown percent.


      


\(\frac{(x)({number})}{{number}}\) = \(\frac{{ans}}{{number}}\)       

Divide both sides by {number}

x = {=percent/100} Simplify {percent}% of {number} = {ans}
Change the decimal answer to a percent by multiplying by 100.


]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99}; number={10:100:10}; ans=percent/100*number; numPer=number*percent; decPer=percent/100; abc 0 1 0 1 percent 1 1 L56- Compute Percent-Of (find percent - equation) Compute using an algebraic equation:  
What percent of {number} is {ans}?

]]> Solve Percent of Questions with an Equation  Of means multiply.
Is means equals. ____% of {number} is {ans}
% of _____ is ________
(_______%)(______) = ________       

Write the equation

(x)({number}) = {ans}       

Substitute the Values. 
I used x to represent the unknown percent.


      


\(\frac{(x)({number})}{{number}}\) = \(\frac{{ans}}{{number}}\)       

Divide both sides by {number}

x = {=percent/100} Simplify {percent}% of {number} = {ans}
Change the decimal answer to a percent by multiplying by 100.


]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99}; number={10:100:10}; ans=percent/100*number; numPer=number*percent; decPer=percent/100; abc 0 1 0 1 percent 1 1 L56-Compute Percent-Of (find % - proportion) Compute using a proportion:  
What percent of {number} is {ans}?

]]> Solve Percent of Questions with a Proportion
\(\frac{%}{100}\) = \(\frac{is}{of}\)      

Write the proportion

\(\frac{x}{100}\) = \(\frac{{ans}}{{number}}\)      

Substitute the Values

{number}x = ({ans})(100)
      

Cross Multiply

{number}x = {=ans*100}
      

Simplify

\(\frac{{number}x}{{number}}\) = \(\frac{{=ans*100}}{{number}}\)
      

Divide both sides by {number}

{percent} = x
      

Simplify



]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99}; number={10:100:10}; ans=percent/100*number; numPer=number*percent; abc 0 1 0 1 percent 1 1 L56-Compute Percent-Of (find % - proportion) Compute using a proportion:  
What percent of {number} is {ans}?

]]> Solve Percent of Questions with a Proportion
\(\frac{%}{100}\) = \(\frac{is}{of}\)      

Write the proportion

\(\frac{x}{100}\) = \(\frac{{ans}}{{number}}\)      

Substitute the Values

{number}x = ({ans})(100)
      

Cross Multiply

{number}x = {=ans*100}
      

Simplify

\(\frac{{number}x}{{number}}\) = \(\frac{{=ans*100}}{{number}}\)
      

Divide both sides by {number}

{percent} = x
      

Simplify



]]> 1.0000000 0.3333333 0 Your answer is correct. Your answer is partially correct. Your answer is incorrect. percent={1:99}; number={10:100:10}; ans=percent/100*number; numPer=number*percent; abc 0 1 0 1 percent 1 1