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>