Algebra/Unit 5 Quiz 1/Objective 1a Exponent Property 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»expression«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»m«/mi»«/mrow»«/msup»«mo»§#183;«/mo»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»n«/mi»«/mrow»«/msup»«/math»

]]> 2.0000000 0.3333333 0 0 #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>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>15</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>15</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>m</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>n</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><msup><mi>x</mi><mrow><mi>m</mi><mo>+</mo><mi>n</mi></mrow></msup></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_literal"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></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> Exponent Property 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»expression«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msup»«mfenced»«msup»«mi mathvariant=¨normal¨»x«/mi»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»m«/mi»«/mrow»«/msup»«/mfenced»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»n«/mi»«/mrow»«/msup»«/math»

]]> 2.0000000 0.3333333 0 0 #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>m</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>n</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>m</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>m</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>n</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>n</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><msup><mi>x</mi><mrow><mi>m</mi><mo>*</mo><mi>n</mi></mrow></msup></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</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_literal"/></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> Exponent Property 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»expression«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msup»«mfenced»«mrow»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»m«/mi»«/mrow»«/msup»«mo»§#183;«/mo»«msup»«mtext»y«/mtext»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»n«/mi»«/mrow»«/msup»«/mrow»«/mfenced»«mrow»«mo»#«/mo»«mi»p«/mi»«/mrow»«/msup»«/math»

]]> 2.0000000 0.3333333 0 0 #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>2</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>m</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>n</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>m</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>m</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>n</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>n</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>p</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>p</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><msup><mi>a</mi><mi>p</mi></msup><mo>*</mo><msup><mi>x</mi><mrow><mi>m</mi><mo>*</mo><mi>p</mi></mrow></msup><mo>*</mo><msup><mi>y</mi><mrow><mi>n</mi><mo>*</mo><mi>p</mi></mrow></msup></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</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_literal"/></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> Exponent Property 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»expression«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»m«/mi»«/mrow»«/msup»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»n«/mi»«/mrow»«/msup»«/mfrac»«/math»

]]> 2.0000000 0.3333333 0 0 #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>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>15</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>15</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>m</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>n</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>m</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>n</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><msup><mi>x</mi><mrow><mi>m</mi><mo>-</mo><mi>n</mi></mrow></msup></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><correctAnswer id="3"></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_literal"/></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"/></localData></question> Exponent Property 5 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»expression«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msup»«mfenced»«mfrac»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»m«/mi»«/mrow»«/msup»«mrow»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»n«/mi»«/mrow»«/msup»«/mrow»«/mfrac»«/mfenced»«mrow»«mo»#«/mo»«mi»p«/mi»«/mrow»«/msup»«/math»

]]> 2.0000000 0.3333333 0 0 #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>2</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>15</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>15</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>m</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>m</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>n</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>n</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>p</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>p</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><mfrac><msup><mi>x</mi><mrow><mi>m</mi><mo>*</mo><mi>p</mi></mrow></msup><mrow><msup><mi>a</mi><mi>p</mi></msup><mo>*</mo><msup><mi>x</mi><mrow><mi>n</mi><mo>*</mo><mi>p</mi></mrow></msup></mrow></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><correctAnswer id="3"></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_literal"/></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"/></localData></question> Algebra/Unit 5 Quiz 1/Objective 2 Direct substitution «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Evaluate«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»m«/mi»«/mrow»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»b«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»n«/mi»«/mrow»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»d«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»when«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»g«/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>5</mn><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><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>m</mi><mo>&gt;</mo><mi>n</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>1</mn><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><mi>a</mi><mo>*</mo><msup><mi>g</mi><mi>m</mi></msup><mo>-</mo><mi>b</mi><mo>*</mo><msup><mi>g</mi><mi>n</mi></msup><mo>-</mo><mi>c</mi><mo>*</mo><mi>g</mi><mo>+</mo><mi>d</mi></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> Direct substitution 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Evaluate«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»m«/mi»«/mrow»«/msup»«mtext»+«/mtext»«mo»#«/mo»«mi»b«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»n«/mi»«/mrow»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«mtext»x-«/mtext»«mo»#«/mo»«mi»d«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»when«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»g«/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>5</mn><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><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>m</mi><mo>&gt;</mo><mi>n</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>1</mn><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><mi>a</mi><mo>*</mo><msup><mi>g</mi><mi>m</mi></msup><mo>+</mo><mi>b</mi><mo>*</mo><msup><mi>g</mi><mi>n</mi></msup><mo>-</mo><mi>c</mi><mo>*</mo><mi>g</mi><mo>-</mo><mi>d</mi></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_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"/></localData></question> Algebra/Unit 5 Quiz 1/Objective 3 Synthetic Substitution «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Evaluate«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»polynomial«/mi»«mo»§#160;«/mo»«mi»using«/mi»«mo»§#160;«/mo»«mi»synthetic«/mi»«mo»§#160;«/mo»«mi»substitution«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»g«/mi»«mo»(«/mo»«mo»#«/mo»«mi»g«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»3«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«mtext»x«/mtext»«mo»-«/mo»«mo»#«/mo»«mi»d«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»In«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»first«/mi»«mo»§#160;«/mo»«mi»blank«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»please«/mi»«mo»§#160;«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»numbers«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»separated«/mi»«mo»§#160;«/mo»«mi»by«/mi»«mo»§#160;«/mo»«mi»colons«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»that«/mi»«mo»§#160;«/mo»«mi»appear«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»bottom«/mi»«mo»§#160;«/mo»«mi»row«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»In«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»second«/mi»«mo»§#160;«/mo»«mi»blank«/mi»«mo»§#160;«/mo»«mi»please«/mi»«mo»§#160;«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»value«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»polynomial«/mi»«mspace linebreak=¨newline¨/»«mi»for«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»given«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»-«/mo»«mi»value«/mi»«mo»)«/mo»«mo».«/mo»«/math»

]]> 4.0000000 0.3333333 0 0 bottom row=#a:#q:#r:#svalue of function=#s]]> <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>5</mn><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><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>12</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>g</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>1</mn><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>q</mi><mo>=</mo><mi>b</mi><mo>+</mo><mi>a</mi><mo>*</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>q</mi><mo>*</mo><mi>g</mi><mo>-</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mi>r</mi><mo>*</mo><mi>g</mi><mo>-</mo><mi>d</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mi>o</mi><mi>t</mi><mi>t</mi><mi>o</mi><mi>m</mi><mo>&#160;</mo><mi>r</mi><mi>o</mi><mi>w</mi><mo>=</mo><mo>#</mo><mi>a</mi><mo>:</mo><mo>#</mo><mi>q</mi><mo>:</mo><mo>#</mo><mi>r</mi><mo>:</mo><mo>#</mo><mi>s</mi><mspace linebreak="newline"/><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo>&#160;</mo><mi>o</mi><mi>f</mi><mo>&#160;</mo><mi>f</mi><mi>u</mi><mi>n</mi><mi>c</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi>s</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^(-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="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">75 25</data><data name="casSession"/></localData></question> Synthetic Substitution 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Evaluate«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»polynomial«/mi»«mo»§#160;«/mo»«mi»using«/mi»«mo»§#160;«/mo»«mi»synthetic«/mi»«mo»§#160;«/mo»«mi»substitution«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»g«/mi»«mo»(«/mo»«mo»#«/mo»«mi»g«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»5«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«msup»«mtext»x«/mtext»«mn»3«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»d«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»In«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»first«/mi»«mo»§#160;«/mo»«mi»blank«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»please«/mi»«mo»§#160;«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»numbers«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»separated«/mi»«mo»§#160;«/mo»«mi»by«/mi»«mo»§#160;«/mo»«mi»colons«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»that«/mi»«mo»§#160;«/mo»«mi»appear«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»bottom«/mi»«mo»§#160;«/mo»«mi»row«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»In«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»second«/mi»«mo»§#160;«/mo»«mi»blank«/mi»«mo»§#160;«/mo»«mi»please«/mi»«mo»§#160;«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»value«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»polynomial«/mi»«mspace linebreak=¨newline¨/»«mi»for«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»given«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»-«/mo»«mi»value«/mi»«mo»)«/mo»«mo».«/mo»«/math»

]]> 4.0000000 0.3333333 0 0 bottom row=#a:#u:#q:#r:#s:#tvalue of function=#t]]> <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>5</mn><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><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>12</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>g</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>1</mn><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>u</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mi>b</mi><mo>+</mo><mi>a</mi><mo>*</mo><msup><mi>g</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>q</mi><mo>*</mo><mi>g</mi><mo>-</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mi>r</mi><mo>*</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>s</mi><mo>*</mo><mi>g</mi><mo>-</mo><mi>d</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mi>o</mi><mi>t</mi><mi>t</mi><mi>o</mi><mi>m</mi><mo>&#160;</mo><mi>r</mi><mi>o</mi><mi>w</mi><mo>=</mo><mo>#</mo><mi>a</mi><mo>:</mo><mo>#</mo><mi>u</mi><mo>:</mo><mo>#</mo><mi>q</mi><mo>:</mo><mo>#</mo><mi>r</mi><mo>:</mo><mo>#</mo><mi>s</mi><mo>:</mo><mo>#</mo><mi>t</mi><mspace linebreak="newline"/><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo>&#160;</mo><mi>o</mi><mi>f</mi><mo>&#160;</mo><mi>f</mi><mi>u</mi><mi>n</mi><mi>c</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi>t</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^(-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="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">75 25</data><data name="casSession"></data></localData></question> Synthetic Substitution 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Evaluate«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»polynomial«/mi»«mo»§#160;«/mo»«mi»using«/mi»«mo»§#160;«/mo»«mi»synthetic«/mi»«mo»§#160;«/mo»«mi»substitution«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»g«/mi»«mo»(«/mo»«mo»#«/mo»«mi»g«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»3«/mn»«/msup»«mtext»-«/mtext»«mo»#«/mo»«mi»b«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«mtext»x+«/mtext»«mo»#«/mo»«mi»d«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»In«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»first«/mi»«mo»§#160;«/mo»«mi»blank«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»please«/mi»«mo»§#160;«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»numbers«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»separated«/mi»«mo»§#160;«/mo»«mi»by«/mi»«mo»§#160;«/mo»«mi»colons«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»that«/mi»«mo»§#160;«/mo»«mi»appear«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»bottom«/mi»«mo»§#160;«/mo»«mi»row«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»In«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»second«/mi»«mo»§#160;«/mo»«mi»blank«/mi»«mo»§#160;«/mo»«mi»please«/mi»«mo»§#160;«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»value«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»polynomial«/mi»«mspace linebreak=¨newline¨/»«mi»for«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»given«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»-«/mo»«mi»value«/mi»«mo»)«/mo»«mo».«/mo»«/math»

]]> 4.0000000 0.3333333 0 0 bottom row=#a:#q:#r:#svalue of function=#s]]> <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>5</mn><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><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>12</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>g</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>1</mn><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>q</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>g</mi><mo>-</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>q</mi><mo>*</mo><mi>g</mi><mo>-</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mi>r</mi><mo>*</mo><mi>g</mi><mo>+</mo><mi>d</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mi>o</mi><mi>t</mi><mi>t</mi><mi>o</mi><mi>m</mi><mo>&#160;</mo><mi>r</mi><mi>o</mi><mi>w</mi><mo>=</mo><mo>#</mo><mi>a</mi><mo>:</mo><mo>#</mo><mi>q</mi><mo>:</mo><mo>#</mo><mi>r</mi><mo>:</mo><mo>#</mo><mi>s</mi><mspace linebreak="newline"/><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo>&#160;</mo><mi>o</mi><mi>f</mi><mo>&#160;</mo><mi>f</mi><mi>u</mi><mi>n</mi><mi>c</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi>s</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^(-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="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">75 25</data><data name="casSession"/></localData></question> Synthetic Substitution 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Evaluate«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»polynomial«/mi»«mo»§#160;«/mo»«mi»using«/mi»«mo»§#160;«/mo»«mi»synthetic«/mi»«mo»§#160;«/mo»«mi»substitution«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»g«/mi»«mo»(«/mo»«mo»#«/mo»«mi»g«/mi»«mo»)«/mo»«mo»=«/mo»«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»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»In«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»first«/mi»«mo»§#160;«/mo»«mi»blank«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»please«/mi»«mo»§#160;«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»numbers«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»separated«/mi»«mo»§#160;«/mo»«mi»by«/mi»«mo»§#160;«/mo»«mi»colons«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»that«/mi»«mo»§#160;«/mo»«mi»appear«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»bottom«/mi»«mo»§#160;«/mo»«mi»row«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»In«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»second«/mi»«mo»§#160;«/mo»«mi»blank«/mi»«mo»§#160;«/mo»«mi»please«/mi»«mo»§#160;«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»value«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»polynomial«/mi»«mspace linebreak=¨newline¨/»«mi»for«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»given«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»-«/mo»«mi»value«/mi»«mo»)«/mo»«mo».«/mo»«/math»

]]> 4.0000000 0.3333333 0 0 bottom row=#a:#q:#r:#s:#tvalue of function=#t]]> <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>5</mn><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><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>12</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>g</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>1</mn><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>q</mi><mo>=</mo><mi>b</mi><mo>+</mo><mi>a</mi><mo>*</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>q</mi><mo>*</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mi>r</mi><mo>*</mo><mi>g</mi><mo>-</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>s</mi><mo>*</mo><mi>g</mi><mo>-</mo><mi>d</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mi>o</mi><mi>t</mi><mi>t</mi><mi>o</mi><mi>m</mi><mo>&#160;</mo><mi>r</mi><mi>o</mi><mi>w</mi><mo>=</mo><mo>#</mo><mi>a</mi><mo>:</mo><mo>#</mo><mi>q</mi><mo>:</mo><mo>#</mo><mi>r</mi><mo>:</mo><mo>#</mo><mi>s</mi><mo>:</mo><mo>#</mo><mi>t</mi><mspace linebreak="newline"/><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo>&#160;</mo><mi>o</mi><mi>f</mi><mo>&#160;</mo><mi>f</mi><mi>u</mi><mi>n</mi><mi>c</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi>t</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^(-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="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">75 25</data><data name="casSession"/></localData></question> Algebra/Unit 5 Quiz 1/Objective 4 End Behavior «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Which«/mi»«mo»§#160;«/mo»«mi»choice«/mi»«mo»§#160;«/mo»«mi»below«/mi»«mo»§#160;«/mo»«mi»describes«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»end«/mi»«mo»§#160;«/mo»«mi»behavior«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»polynomial«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»m«/mi»«/mrow»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»n«/mi»«/mrow»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»o«/mi»«/mrow»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»d«/mi»«/math»

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]]> <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><mo>-</mo><mn>2</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>25</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>25</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>4</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>o</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>m</mi><mo>≠</mo><mn>7</mn><mo>∧</mo><mi>m</mi><mo>≠</mo><mn>5</mn><mo>∧</mo><mi>m</mi><mo>&gt;</mo><mi>n</mi><mo>∧</mo><mi>n</mi><mo>&gt;</mo><mi>o</mi></mrow></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><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="casSession"></data></localData></question> End Behavior 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Which«/mi»«mo»§#160;«/mo»«mi»choice«/mi»«mo»§#160;«/mo»«mi»below«/mi»«mo»§#160;«/mo»«mi»describes«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»end«/mi»«mo»§#160;«/mo»«mi»behavior«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»polynomial«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»m«/mi»«/mrow»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»n«/mi»«/mrow»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»o«/mi»«/mrow»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»d«/mi»«/math»

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]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#8594;«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«mo»§#160;«/mo»«mi»a«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#8594;«/mo»«mo»-«/mo»«mo»§#8734;«/mo»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#8594;«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«mo»§#160;«/mo»«mi»a«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#8594;«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«mspace linebreak=¨newline¨/»«/math»

]]> <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><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>25</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>25</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>o</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>m</mi><mo>≠</mo><mn>6</mn><mo>∧</mo><mi>m</mi><mo>≠</mo><mn>8</mn><mo>∧</mo><mi>m</mi><mo>&gt;</mo><mi>n</mi><mo>∧</mo><mi>n</mi><mo>&gt;</mo><mi>o</mi></mrow></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><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="casSession"/></localData></question> End Behavior 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Which«/mi»«mo»§#160;«/mo»«mi»choice«/mi»«mo»§#160;«/mo»«mi»below«/mi»«mo»§#160;«/mo»«mi»describes«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»end«/mi»«mo»§#160;«/mo»«mi»behavior«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»polynomial«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»m«/mi»«/mrow»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»n«/mi»«/mrow»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»o«/mi»«/mrow»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»d«/mi»«/math»

]]> 2.0000000 0.3333333 0 true true abc Your answer is correct.

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