Algebra/Unit 1 Quiz 2/Objective 5
Solve Linear 1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/mfrac»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»c«/mi»«mo»=«/mo»«mo»#«/mo»«mi»d«/mi»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»fraction«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»lowest«/mi»«mo»§#160;«/mo»«mi»terms«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»round«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»to«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo»§#160;«/mo»«mi»when«/mi»«mo»§#160;«/mo»«mi»necessary«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
x=#sol]]>
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>gcd</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mi>b</mi><mi>a</mi></mfrac><mfenced><mrow><mi>d</mi><mo>-</mo><mi>c</mi></mrow></mfenced></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Solve Linear 2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»a«/mi»«mtext»x«/mtext»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»fraction«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»lowest«/mi»«mo»§#160;«/mo»«mi»terms«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mspace linebreak=¨newline¨/»«mi»rounded«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo»§#160;«/mo»«mi»when«/mi»«mo»§#160;«/mo»«mi»necessary«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
x=#sol]]>
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mo> </mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>100</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>c</mi><mo>+</mo><mi>b</mi></mrow><mi>a</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="implicit_times_operator">true</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
Solve Linear 3
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»a«/mi»«mfenced»«mrow»«mo»#«/mo»«mi»b«/mi»«mtext»x«/mtext»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«/mrow»«/mfenced»«mo»=«/mo»«mo»#«/mo»«mi»d«/mi»«mfenced»«mrow»«mo»#«/mo»«mi»e«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»f«/mi»«/mrow»«/mfenced»«mo»-«/mo»«mo»#«/mo»«mi»g«/mi»«mtext»x«/mtext»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»fraction«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»lowest«/mi»«mo»§#160;«/mo»«mi»terms«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»rounded«/mi»«mspace linebreak=¨newline¨/»«mi»to«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo»§#160;«/mo»«mi»when«/mi»«mo»§#160;«/mo»«mi»necessary«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
x=#sol]]>
#sol
X=#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>*</mo><mi>b</mi><mo>-</mo><mi>d</mi><mo>*</mo><mi>e</mi><mo>+</mo><mi>g</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>a</mi><mo>*</mo><mi>c</mi><mo>+</mo><mi>d</mi><mo>*</mo><mi>f</mi></mrow><mrow><mi>a</mi><mo>*</mo><mi>b</mi><mo>-</mo><mi>d</mi><mo>*</mo><mi>e</mi><mo>+</mo><mi>g</mi></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2">X=#sol</correctAnswer><correctAnswer id="3"></correctAnswer><correctAnswer id="4"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Solve Linear 4
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»c«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»d«/mi»«mo»(«/mo»«mo»#«/mo»«mi»e«/mi»«mtext»x«/mtext»«mo»-«/mo»«mo»#«/mo»«mi»f«/mi»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»fraction«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»lowest«/mi»«mo»§#160;«/mo»«mi»terms«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»round«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mspace linebreak=¨newline¨/»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
x=#sol]]>
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>*</mo><mi>b</mi><mo>-</mo><mi>d</mi><mo>*</mo><mi>e</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>a</mi><mo>*</mo><mi>c</mi><mo>-</mo><mi>d</mi><mo>*</mo><mi>f</mi></mrow><mrow><mi>a</mi><mo>*</mo><mi>b</mi><mo>-</mo><mi>d</mi><mo>*</mo><mi>e</mi></mrow></mfrac></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="implicit_times_operator">true</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Solve Linear 5
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»a«/mi»«mfenced»«mrow»«mtext»x«/mtext»«mo»-«/mo»«mo»#«/mo»«mi»b«/mi»«/mrow»«/mfenced»«mo»-«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»c«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»d«/mi»«/mrow»«/mfenced»«mo»=«/mo»«mo»#«/mo»«mi»e«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»fraction«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»reduced«/mi»«mo»§#160;«/mo»«mi»form«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»decimal«/mi»«mspace linebreak=¨newline¨/»«mi»rounded«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
x=#sol]]>
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>9</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>-</mo><mi>c</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>a</mi><mo>*</mo><mi>b</mi><mo>+</mo><mi>d</mi><mo>+</mo><mi>e</mi></mrow><mrow><mi>a</mi><mo>-</mo><mi>c</mi></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Solve Linear 6
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»a«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«mo»=«/mo»«mo»#«/mo»«mi»c«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»fraction«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»lowest«/mi»«mo»§#160;«/mo»«mi»terms«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mspace linebreak=¨newline¨/»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»rounded«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
x=#sol]]>
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>100</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>c</mi><mo>-</mo><mi>b</mi></mrow><mi>a</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Solve Linear 7
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/mfrac»«mfenced»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«/mrow»«/mfenced»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»e«/mi»«/math»]]>
2.0000000
0.3333333
0
0
x=#sol]]>
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>9</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>gcd</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>b</mi><mo>*</mo><mi>e</mi><mo>-</mo><mi>a</mi><mo>*</mo><mi>d</mi></mrow><mrow><mi>a</mi><mo>*</mo><mi>c</mi></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Solve Linear 8
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»a«/mi»«mtext»x«/mtext»«mo»-«/mo»«mo»#«/mo»«mi»b«/mi»«mo»=«/mo»«mo»#«/mo»«mi»c«/mi»«mfenced»«mrow»«mo»#«/mo»«mi»d«/mi»«mtext»x«/mtext»«mo»-«/mo»«mo»#«/mo»«mi»e«/mi»«/mrow»«/mfenced»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»fraction«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»lowest«/mi»«mo»§#160;«/mo»«mi»terms«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mspace linebreak=¨newline¨/»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»rounded«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
x=#sol]]>
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>-</mo><mi>c</mi><mo>*</mo><mi>d</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>b</mi><mo>-</mo><mi>c</mi><mo>*</mo><mi>e</mi></mrow><mrow><mi>a</mi><mo>-</mo><mi>c</mi><mo>*</mo><mi>d</mi></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="implicit_times_operator">true</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Algebra/Unit 1 Quiz 2/Objective 6
Rates Word Problem 1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»You«/mi»«mo»§#160;«/mo»«mi»need«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»earn«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»dollars«/mi»«mo»§#160;«/mo»«mi»per«/mi»«mo»§#160;«/mo»«mi»week«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»afford«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»new«/mi»«mo»§#160;«/mo»«mi»car«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»Your«/mi»«mo»§#160;«/mo»«mi»work«/mi»«mo»§#160;«/mo»«mi»week«/mi»«mspace linebreak=¨newline¨/»«mi»is«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»§#160;«/mo»«mi»hours«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»You«/mi»«mo»§#160;«/mo»«mi»get«/mi»«mo»§#160;«/mo»«mn»1«/mn»«mo».«/mo»«mn»5«/mn»«mo»§#160;«/mo»«mi»times«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»regular«/mi»«mo»§#160;«/mo»«mi»hourly«/mi»«mo»§#160;«/mo»«mi»rate«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»overtime«/mi»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mi»anything«/mi»«mo»§#160;«/mo»«mi»over«/mi»«mo»§#160;«/mo»«mn»40«/mn»«mo»§#160;«/mo»«mi»hours«/mi»«mo»)«/mo»«mo».«/mo»«mo»§#160;«/mo»«mi»How«/mi»«mo»§#160;«/mo»«mi»much«/mi»«mo»§#160;«/mo»«mi»does«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»regular«/mi»«mo»§#160;«/mo»«mi»hourly«/mi»«mo»§#160;«/mo»«mi»rate«/mi»«mo»§#160;«/mo»«mi»need«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»be«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Round«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi mathvariant=¨bold¨»Do«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold¨»not«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold¨»include«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold¨»the«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold¨»dollar«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold¨»sign«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«mi»it«/mi»«mo»§#160;«/mo»«mi»will«/mi»«mo»§#160;«/mo»«mi»be«/mi»«mo»§#160;«/mo»«mi»scored«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»incorrect«/mi»«mo».«/mo»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»The«/mi»«mo»§#160;«/mo»«mi»number«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»overtime«/mi»«mo»§#160;«/mo»«mi»hours«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»-«/mo»«mn»40«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mi»which«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo».«/mo»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi mathvariant=¨normal¨»I«/mi»«mo»§#160;«/mo»«mi»multiply«/mi»«mo»§#160;«/mo»«mi»this«/mi»«mo»§#160;«/mo»«mi»by«/mi»«mo»§#160;«/mo»«mn»1«/mn»«mo».«/mo»«mn»5«/mn»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»convert«/mi»«mo»§#160;«/mo»«mi»these«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»regular«/mi»«mo»§#160;«/mo»«mi»hours«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»which«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»Therefore«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»total«/mi»«mo»§#160;«/mo»«mi»number«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»hours«/mi»«mo»§#160;«/mo»«mi»at«/mi»«mo»§#160;«/mo»«mi»regular«/mi»«mo»§#160;«/mo»«mi»rate«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»e«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»To«/mi»«mo»§#160;«/mo»«mi»find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»rate«/mi»«mo»§#160;«/mo»«mi»do«/mi»«mo»§#160;«/mo»«mfrac»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»e«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mo»#«/mo»«mi»sol«/mi»«/math»]]>
3.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>400</mn><mo>,</mo><mn>600</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>44</mn><mo>,</mo><mn>52</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>b</mi><mo>-</mo><mn>40</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>5</mn><mo>(</mo><mi>b</mi><mo>-</mo><mn>40</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>5</mn><mo>*</mo><mi>b</mi><mo>-</mo><mn>20</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mi>a</mi><mi>e</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">$ #sol</correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="implicit_times_operator">true</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Rates Word Problem 2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»It«/mi»«mo»§#160;«/mo»«mi»takes«/mi»«mo»§#160;«/mo»«mi»you«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»hours«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»mow«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»lawn«/mi»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»sister«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»§#160;«/mo»«mi»hours«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»mow«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»lawn«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»How«/mi»«mo»§#160;«/mo»«mi»long«/mi»«mo»§#160;«/mo»«mi»does«/mi»«mo»§#160;«/mo»«mi»it«/mi»«mo»§#160;«/mo»«mi»take«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»two«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»you«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»mow«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»§#160;«/mo»«mi»lawns«/mi»«mo»§#160;«/mo»«mi»if«/mi»«mo»§#160;«/mo»«mi»you«/mi»«mo»§#160;«/mo»«mi»work«/mi»«mo»§#160;«/mo»«mi»together«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Round«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»Only«/mi»«mo»§#160;«/mo»«mi»type«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»numeric«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«mi»no«/mi»«mo»§#160;«/mo»«mi»units«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»hours«/mi»«mo»)«/mo»«mo».«/mo»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«/mrow»«/mfrac»«mfenced»«mi»time«/mi»«/mfenced»«mo»+«/mo»«mfrac»«mn»1«/mn»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«/mrow»«/mfrac»«mfenced»«mi»time«/mi»«/mfenced»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«/math»]]>
3.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>7</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mi>b</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>a</mi><mo>*</mo><mi>b</mi><mo>*</mo><mi>c</mi></mrow><mrow><mi>a</mi><mo>+</mo><mi>b</mi></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="implicit_times_operator">true</option><option name="precision">3</option><option name="relative_tolerance">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
Rates Word Problem 3
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»The«/mi»«mo»§#160;«/mo»«mi»bill«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»repair«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»car«/mi»«mo»§#160;«/mo»«mi»was«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»dollars«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»The«/mi»«mo»§#160;«/mo»«mi»cost«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»parts«/mi»«mspace linebreak=¨newline¨/»«mi»was«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»§#160;«/mo»«mi»dollars«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»The«/mi»«mo»§#160;«/mo»«mi»cost«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»labor«/mi»«mo»§#160;«/mo»«mi»was«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»§#160;«/mo»«mi»dollars«/mi»«mo»§#160;«/mo»«mi»per«/mi»«mo»§#160;«/mo»«mi»hour«/mi»«mo».«/mo»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»How«/mi»«mo»§#160;«/mo»«mi»long«/mi»«mo»§#160;«/mo»«mi»did«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»repair«/mi»«mo»§#160;«/mo»«mi»work«/mi»«mo»§#160;«/mo»«mi»take«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Round«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»Do«/mi»«mo»§#160;«/mo»«mi»not«/mi»«mo»§#160;«/mo»«mi»include«/mi»«mo»§#160;«/mo»«mi»units«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo».«/mo»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«/mrow»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mo»#«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«/math»]]>
3.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>400</mn><mo>,</mo><mn>700</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>150</mn><mo>,</mo><mn>250</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>45</mn><mo>,</mo><mn>80</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>a</mi><mo>-</mo><mi>b</mi></mrow><mi>c</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="implicit_times_operator">true</option><option name="precision">3</option><option name="relative_tolerance">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
Rates Word Problem 4
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Your«/mi»«mo»§#160;«/mo»«mi»friend«/mi»«mo»§#160;«/mo»«mi»bought«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»total«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»DVDs«/mi»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mi»CDs«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»gifts«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»§#160;«/mo»«mi»dollars«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»The«/mi»«mo»§#160;«/mo»«mi»price«/mi»«mo»§#160;«/mo»«mi»per«/mi»«mo»§#160;«/mo»«mi»CD«/mi»«mo»§#160;«/mo»«mi»was«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»price«/mi»«mo»§#160;«/mo»«mi»per«/mi»«mo»§#160;«/mo»«mi»DVD«/mi»«mo»§#160;«/mo»«mi»was«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»How«/mi»«mo»§#160;«/mo»«mi»many«/mi»«mo»§#160;«/mo»«mi»CDs«/mi»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mi»DVDs«/mi»«mo»§#160;«/mo»«mi»did«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»friend«/mi»«mo»§#160;«/mo»«mi»buy«/mi»«mo»?«/mo»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Let«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»number«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»CDs«/mi»«mo»§#160;«/mo»«mi»purchased«/mi»«mspace linebreak=¨newline¨/»«mi»Therefore«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»number«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»DVDs«/mi»«mo»§#160;«/mo»«mi»purchased«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mtext»x«/mtext»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mfenced»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mtext»-x«/mtext»«/mrow»«/mfenced»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«/math»]]>
3.0000000
0.3333333
0
0
CDs=#gDVDs=#h]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>9</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>12</mn><mo>,</mo><mn>18</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a</mi><mo>=</mo><mi>g</mi><mo>+</mo><mi>h</mi></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>c</mi><mo>*</mo><mi>g</mi><mo>+</mo><mi>d</mi><mo>*</mo><mi>h</mi></mtd></mtr></mtable><mrow><mi>g</mi><mo>≠</mo><mi>h</mi></mrow></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mi>D</mi><mi>s</mi><mo>=</mo><mo>#</mo><mi>g</mi><mspace linebreak="newline"/><mi>D</mi><mi>V</mi><mi>D</mi><mi>s</mi><mo>=</mo><mo>#</mo><mi>h</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="implicit_times_operator">true</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="inputField">popupEditor</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
Algebra/Unit 1 Quiz 2/Objective 7a
Solve Multivariate 1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mn»2«/mn»«mi»§#960;«/mi»«mi»r«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»Then«/mi»«mo»§#160;«/mo»«mi»find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»radius«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»circle«/mi»«mo»§#160;«/mo»«mi»with«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»circumference«/mi»«mspace linebreak=¨newline¨/»«mi»of«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Round«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
r=C2πradius with given circumference =#sol]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>4</mn><mo>.</mo><mn>0</mn><mo>,</mo><mn>50</mn><mo>.</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mi>a</mi><mrow><mn>2</mn><pi/></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mfrac><mi>C</mi><mrow><mn>2</mn><mi mathvariant="normal">π</mi></mrow></mfrac><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">i</mi><mi>u</mi><mi>s</mi><mo> </mo><mi>w</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>h</mi><mo> </mo><mi>g</mi><mi mathvariant="normal">i</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo> </mo><mi>c</mi><mi mathvariant="normal">i</mi><mi>r</mi><mi>c</mi><mi>u</mi><mi>m</mi><mi>f</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">e</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="inputField">popupEditor</data><data name="casSession"/></localData></question>
Solve Multivariate 2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»A«/mi»«mo»=«/mo»«mi»§#960;«/mi»«msup»«mi»r«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»Then«/mi»«mo»§#160;«/mo»«mi»find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»radius«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»circle«/mi»«mo»§#160;«/mo»«mi»with«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»area«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»Round«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
r=Aπradius of a circle with given area=#sol]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>8</mn><mo>.</mo><mn>0</mn><mo>,</mo><mn>150</mn><mo>.</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msqrt><mfrac><mi>a</mi><pi/></mfrac></msqrt></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><msqrt><mfrac><mi>A</mi><mi mathvariant="normal">π</mi></mfrac></msqrt><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">i</mi><mi>u</mi><mi>s</mi><mo> </mo><mi>o</mi><mi>f</mi><mo> </mo><mi>a</mi><mo> </mo><mi>c</mi><mi mathvariant="normal">i</mi><mi>r</mi><mi>c</mi><mi>l</mi><mi mathvariant="normal">e</mi><mo> </mo><mi>w</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>h</mi><mo> </mo><mi>g</mi><mi mathvariant="normal">i</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo> </mo><mi>a</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="casSession"/></localData></question>
Solve Multivariate 3
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»F«/mi»«mo»=«/mo»«mfrac»«mn»9«/mn»«mn»5«/mn»«/mfrac»«mi»C«/mi»«mo»+«/mo»«mn»32«/mn»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»C«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»Then«/mi»«mo»§#160;«/mo»«mi»convert«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»temperature«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»degrees«/mi»«mspace linebreak=¨newline¨/»«mi»Fahrenheit«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»Celsius«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Round«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»place«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
C=59F-32Celsius temperature =#sol]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>200</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mn>5</mn><mn>9</mn></mfrac><mfenced><mrow><mi>a</mi><mo>-</mo><mn>32</mn></mrow></mfenced></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfrac><mn>5</mn><mn>9</mn></mfrac><mfenced><mrow><mi>F</mi><mo>-</mo><mn>32</mn></mrow></mfenced><mspace linebreak="newline"/><mi>C</mi><mi mathvariant="normal">e</mi><mi>l</mi><mi>s</mi><mi mathvariant="normal">i</mi><mi>u</mi><mi>s</mi><mo> </mo><mi>t</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>p</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>t</mi><mi>u</mi><mi>r</mi><mi mathvariant="normal">e</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="casSession"></data></localData></question>
Solve Multivariate 4
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»A«/mi»«mo»=«/mo»«mi»l«/mi»«mi»w«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»Then«/mi»«mo»§#160;«/mo»«mi»find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»length«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»rectangle«/mi»«mo»§#160;«/mo»«mi»with«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»area«/mi»«mspace linebreak=¨newline¨/»«mi»of«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»width«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Round«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
l=AwLength of rectangle given =#sol]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>200</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mi>a</mi><mi>b</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>=</mo><mfrac><mi>A</mi><mi>w</mi></mfrac><mspace linebreak="newline"/><mi>L</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>g</mi><mi>t</mi><mi>h</mi><mo> </mo><mi>o</mi><mi>f</mi><mo> </mo><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>tan</mi><mi>g</mi><mi>l</mi><mi mathvariant="normal">e</mi><mo> </mo><mi>g</mi><mi mathvariant="normal">i</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="casSession"/></localData></question>
Solve Multivariate 5
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mo»=«/mo»«mi»r«/mi»«mi»t«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»t«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»Then«/mi»«mo»§#160;«/mo»«mi»find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»time«/mi»«mo»§#160;«/mo»«mi»it«/mi»«mo»§#160;«/mo»«mi»takes«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»travel«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»distance«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mspace linebreak=¨newline¨/»«mi»miles«/mi»«mo»§#160;«/mo»«mi»at«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»rate«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»§#160;«/mo»«mi»miles«/mi»«mo»§#160;«/mo»«mi»per«/mi»«mo»§#160;«/mo»«mi»hour«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Round«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»place«/mi»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mi»do«/mi»«mo»§#160;«/mo»«mi»no«/mi»«mo»§#160;«/mo»«mi»include«/mi»«mo»§#160;«/mo»«mi»units«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
t=drTime for given information = #sol]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>200</mn><mo>,</mo><mn>1000</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>40</mn><mo>,</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mi>a</mi><mi>b</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mfrac><mi mathvariant="normal">d</mi><mi>r</mi></mfrac><mspace linebreak="newline"/><mi>T</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">e</mi><mo> </mo><mi>f</mi><mi>o</mi><mi>r</mi><mo> </mo><mi>g</mi><mi mathvariant="normal">i</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo> </mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>f</mi><mi>o</mi><mi>r</mi><mi>m</mi><mi>a</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="implicit_times_operator">true</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="inputField">popupEditor</data><data name="casSession"/></localData></question>
Algebra/Unit 1 Quiz 2/Objective 7b
Solve Multivariate 10
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/mfrac»«mtext»x«/mtext»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«mtext»y«/mtext»«mo»=«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»d«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/mfrac»«mtext»x«/mtext»«mo»-«/mo»«mo»#«/mo»«mi»e«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»Then«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»find«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»y«/mi»«mo»§#160;«/mo»«mi»when«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mo»#«/mo»«mi»f«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»fraction«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»lowest«/mi»«mo»§#160;«/mo»«mi»terms«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mspace linebreak=¨newline¨/»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»rounded«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi mathvariant=¨bold¨»three«/mi»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
y=#sy for the given value of x =#sol]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>gcd</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>∧</mo><mi>gcd</mi><mo>(</mo><mi>d</mi><mo>,</mo><mi>b</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mfrac><mrow><mi>d</mi><mo>-</mo><mi>a</mi></mrow><mrow><mo>-</mo><mi>c</mi><mo>*</mo><mi>b</mi></mrow></mfrac><mo>*</mo><mi>x</mi><mo>+</mo><mfrac><mi>e</mi><mi>c</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>d</mi><mo>-</mo><mi>a</mi></mrow><mrow><mo>-</mo><mi>c</mi><mo>*</mo><mi>b</mi></mrow></mfrac><mo>*</mo><mi>f</mi><mo>+</mo><mfrac><mi>e</mi><mi>c</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mspace linebreak="newline"/><mi>y</mi><mo> </mo><mi>f</mi><mi>o</mi><mi>r</mi><mo> </mo><mi>t</mi><mi>h</mi><mi mathvariant="normal">e</mi><mo> </mo><mi>g</mi><mi mathvariant="normal">i</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo> </mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo> </mo><mi>o</mi><mi>f</mi><mo> </mo><mi>x</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="implicit_times_operator">true</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="casSession"/></localData></question>
Solve Multivariate 6
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»y«/mtext»«mo»=«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»Then«/mi»«mo»§#160;«/mo»«mi»find«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»y«/mi»«mo»§#160;«/mo»«mi»when«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»d«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»fraction«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»lowest«/mi»«mo»§#160;«/mo»«mi»ter«/mi»«mi»ms«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mspace linebreak=¨newline¨/»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»rounded«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
y=#sy for given value of x =#sol]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>19</mn><mo>,</mo><mn>19</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>19</mn><mo>,</mo><mn>19</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>c</mi><mo>-</mo><mi>a</mi><mo>*</mo><mi>d</mi></mrow><mi>b</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mfrac><mi>c</mi><mi>b</mi></mfrac><mo>-</mo><mfrac><mrow><mi>a</mi><mo>*</mo><mi>x</mi></mrow><mi>b</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mspace linebreak="newline"/><mi>y</mi><mo> </mo><mi>f</mi><mi>o</mi><mi>r</mi><mo> </mo><mi>g</mi><mi mathvariant="normal">i</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo> </mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo> </mo><mi>o</mi><mi>f</mi><mo> </mo><mi>x</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="implicit_times_operator">true</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="inputField">popupEditor</data><data name="casSession"></data></localData></question>
Solve Multivariate 7
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mtext»y«/mtext»«mo»+«/mo»«mi»x«/mi»«mtext»y«/mtext»«mo»=«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»Then«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»find«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»y«/mi»«mo»§#160;«/mo»«mi»when«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»fraction«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»lowest«/mi»«mo»§#160;«/mo»«mi»terms«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mspace linebreak=¨newline¨/»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»rounded«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»two«/mi»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Make«/mi»«mo»§#160;«/mo»«mi»sure«/mi»«mo»§#160;«/mo»«mi»you«/mi»«mo»§#160;«/mo»«mi»factor«/mi»«mo»§#160;«/mo»«mi»out«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»y«/mi»«mo»§#160;«/mo»«mi»first«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi mathvariant=¨normal¨»y«/mi»«mfenced»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»+«/mo»«mi mathvariant=¨normal¨»x«/mi»«/mrow»«/mfenced»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«/math»]]>
2.0000000
0.3333333
0
0
y=#sy for the given value of x =#sol]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>30</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mfrac><mi>b</mi><mrow><mi>a</mi><mo>+</mo><mi>x</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mi>b</mi><mrow><mi>a</mi><mo>+</mo><mi>c</mi></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mspace linebreak="newline"/><mi>y</mi><mo> </mo><mi>f</mi><mi>o</mi><mi>r</mi><mo> </mo><mi>t</mi><mi>h</mi><mi mathvariant="normal">e</mi><mo> </mo><mi>g</mi><mi mathvariant="normal">i</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo> </mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo> </mo><mi>o</mi><mi>f</mi><mo> </mo><mi>x</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="inputField">popupEditor</data><data name="casSession"></data></localData></question>
Solve Multivariate 8
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mtext»x-«/mtext»«mo»#«/mo»«mi»b«/mi»«mtext»y«/mtext»«mo»=«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»Then«/mi»«mo»§#160;«/mo»«mi»find«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»y«/mi»«mo»§#160;«/mo»«mi»when«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»d«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»fraction«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»lowest«/mi»«mo»§#160;«/mo»«mi»terms«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mspace linebreak=¨newline¨/»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»rounded«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»two«/mi»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«/math»]]>
2.0000000
0.3333333
0
0
y=#sy for given value of x =#sol]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>19</mn><mo>,</mo><mn>19</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>19</mn><mo>,</mo><mn>19</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>c</mi><mo>-</mo><mi>a</mi><mo>*</mo><mi>d</mi></mrow><mrow><mo>-</mo><mi>b</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mo>-</mo><mfrac><mi>c</mi><mi>b</mi></mfrac><mo>+</mo><mfrac><mrow><mi>a</mi><mo>*</mo><mi>x</mi></mrow><mi>b</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mspace linebreak="newline"/><mi>y</mi><mo> </mo><mi>f</mi><mi>o</mi><mi>r</mi><mo> </mo><mi>g</mi><mi mathvariant="normal">i</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo> </mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo> </mo><mi>o</mi><mi>f</mi><mo> </mo><mi>x</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="implicit_times_operator">true</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="inputField">popupEditor</data><data name="casSession"></data></localData></question>
Solve Multivariate 9
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mtext»y-«/mtext»«mo»#«/mo»«mi»d«/mi»«mtext»xy«/mtext»«mo»=«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»Then«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»find«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»y«/mi»«mo»§#160;«/mo»«mi»when«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»fraction«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»lowest«/mi»«mo»§#160;«/mo»«mi»terms«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mspace linebreak=¨newline¨/»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»rounded«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»two«/mi»«mo»§#160;«/mo»«mi»decimal«/mi»«mo»§#160;«/mo»«mi»places«/mi»«mo».«/mo»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Make«/mi»«mo»§#160;«/mo»«mi»sure«/mi»«mo»§#160;«/mo»«mi»you«/mi»«mo»§#160;«/mo»«mi»factor«/mi»«mo»§#160;«/mo»«mi»out«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»y«/mi»«mo»§#160;«/mo»«mi»first«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi mathvariant=¨normal¨»y«/mi»«mfenced»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»-«/mo»«mo»#«/mo»«mi»d«/mi»«mtext»x«/mtext»«/mrow»«/mfenced»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«/math»]]>
2.0000000
0.3333333
0
0
y=#sy for the given value of x =#sol]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>30</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mfrac><mi>b</mi><mrow><mi>a</mi><mo>-</mo><mi>d</mi><mo>*</mo><mi>x</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mi>b</mi><mrow><mi>a</mi><mo>-</mo><mi>d</mi><mo>*</mo><mi>c</mi></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mspace linebreak="newline"/><mi>y</mi><mo> </mo><mi>f</mi><mi>o</mi><mi>r</mi><mo> </mo><mi>t</mi><mi>h</mi><mi mathvariant="normal">e</mi><mo> </mo><mi>g</mi><mi mathvariant="normal">i</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo> </mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo> </mo><mi>o</mi><mi>f</mi><mo> </mo><mi>x</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">true</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="inputField">popupEditor</data><data name="casSession"/></localData></question>
Algebra/Unit 1 Quiz 2/Objective 8
Simple Inequality 1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»inequality«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»a«/mi»«mtext mathvariant=¨italic¨»x«/mtext»«mo mathvariant=¨italic¨»-«/mo»«mo mathvariant=¨italic¨»#«/mo»«mi»b«/mi»«mtext»§#62;«/mtext»«mo mathvariant=¨italic¨»#«/mo»«mi»c«/mi»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>9</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>30</mn><mo>,</mo><mn>30</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>solve_inequation</mi><mo>(</mo><mi>a</mi><mo>*</mo><mi>x</mi><mo>-</mo><mi>b</mi><mo>></mo><mi>c</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Simple Inequality 2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»a«/mi»«mtext»§#8805;«/mtext»«mo»#«/mo»«mi»b«/mi»«mo»+«/mo»«mo»#«/mo»«mi»c«/mi»«mtext»x«/mtext»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>50</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>50</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>solve_inequation</mi><mo>(</mo><mi>a</mi><mo>⩾</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>*</mo><mi>x</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-2)</option><option name="implicit_times_operator">true</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Simple Inequality 3
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/mfrac»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§lt;«/mo»«mo»#«/mo»«mi»d«/mi»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>9</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>50</mn><mo>,</mo><mn>50</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>gcd</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>solve_inequation</mi><mo>(</mo><mfrac><mi>a</mi><mi>b</mi></mfrac><mo>*</mo><mi>x</mi><mo>+</mo><mi>c</mi><mo><</mo><mi>d</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-2)</option><option name="implicit_times_operator">true</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Simple Inequality 4
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»a«/mi»«mtext»§#8804;«/mtext»«mo»#«/mo»«mi»b«/mi»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«mtext»x«/mtext»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>35</mn><mo>,</mo><mn>35</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>40</mn><mo>,</mo><mn>40</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>solve_inequation</mi><mo>(</mo><mi>a</mi><mo>⩽</mo><mi>b</mi><mo>-</mo><mi>c</mi><mo>*</mo><mi>x</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="check_simplified" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_equations" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-2)</option><option name="implicit_times_operator">true</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Simple Inequality 5
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mo mathvariant=¨italic¨»#«/mo»«mi»a«/mi»«mtext mathvariant=¨italic¨»x«/mtext»«mtext»§#62;«/mtext»«mo mathvariant=¨italic¨»#«/mo»«mi»b«/mi»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>30</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>99</mn><mo>,</mo><mn>99</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>solve_inequation</mi><mo>(</mo><mi>a</mi><mo>*</mo><mi>x</mi><mo>></mo><mi>b</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-2)</option><option name="implicit_times_operator">true</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>