Algebra/Unit 5 Quiz 2/Objective 7
Long division 1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»remainder«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»division«/mi»«mo»§#160;«/mo»«mi»problem«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfenced»«mrow»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»4«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«msup»«mtext»x«/mtext»«mn»3«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»d«/mi»«/mrow»«/mfenced»«mo»§#247;«/mo»«mfenced»«mrow»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»e«/mi»«/mrow»«/mfenced»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»State«/mi»«mo»§#160;«/mo»«mi»only«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»remainder«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»not«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»remainder«/mi»«mo»§#160;«/mo»«mi»over«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»divisor«/mi»«mo».«/mo»«/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><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mo>-</mo><mn>1</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><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>remainder</mi><mo>(</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mi>b</mi><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mi>c</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>d</mi><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>e</mi><mo>)</mo></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^(-4)</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"></data></localData></question>
Long division 2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»remainder«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»division«/mi»«mo»§#160;«/mo»«mi»problem«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfenced»«mrow»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»4«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«msup»«mtext»x«/mtext»«mn»3«/mn»«/msup»«mtext»+«/mtext»«mo»#«/mo»«mi»c«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mtext»-«/mtext»«mo»#«/mo»«mi»d«/mi»«mtext»x+«/mtext»«mo»#«/mo»«mi»e«/mi»«/mrow»«/mfenced»«mo»§#247;«/mo»«mfenced»«mrow»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»f«/mi»«mtext»x«/mtext»«mo»-«/mo»«mo»#«/mo»«mi»g«/mi»«/mrow»«/mfenced»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»State«/mi»«mo»§#160;«/mo»«mi»only«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»remainder«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»not«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»remainder«/mi»«mo»§#160;«/mo»«mi»over«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»divisor«/mi»«mo».«/mo»«/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><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</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>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mo>-</mo><mn>1</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><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>remainder</mi><mo>(</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mi>b</mi><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mi>c</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>d</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>e</mi><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>f</mi><mo>*</mo><mi>x</mi><mo>-</mo><mi>g</mi><mo>)</mo></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^(-4)</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"></data></localData></question>
Long division 3
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»remainder«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»division«/mi»«mo»§#160;«/mo»«mi»problem«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfenced»«mrow»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»5«/mn»«/msup»«mtext»-«/mtext»«mo»#«/mo»«mi»b«/mi»«msup»«mtext»x«/mtext»«mn»3«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»d«/mi»«/mrow»«/mfenced»«mo»§#247;«/mo»«mfenced»«mrow»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mtext»-«/mtext»«mo»#«/mo»«mi»e«/mi»«/mrow»«/mfenced»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»State«/mi»«mo»§#160;«/mo»«mi»only«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»remainder«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»not«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»remainder«/mi»«mo»§#160;«/mo»«mi»over«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»divisor«/mi»«mo».«/mo»«/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><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mo>-</mo><mn>1</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><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>remainder</mi><mo>(</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>5</mn></msup><mo>-</mo><mi>b</mi><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mi>c</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>d</mi><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>e</mi><mo>)</mo></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^(-4)</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"></data></localData></question>