Algebra/Unit 4 Quiz 3/Objective 10a Add/Subtract Complex 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mo»+«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo».«/mo»«/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><mn>1</mn><mo>,</mo><mn>25</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>15</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>1</mn><mo>,</mo><mn>25</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>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><imaginaryi/><mo>)</mo><mo>+</mo><mo>(</mo><mi>c</mi><mo>+</mo><mi>d</mi><imaginaryi/><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></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> Add/Subtract Complex 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mo»+«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo».«/mo»«/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><mn>1</mn><mo>,</mo><mn>25</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>15</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>1</mn><mo>,</mo><mn>25</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>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><imaginaryi/><mo>)</mo><mo>+</mo><mo>(</mo><mi>c</mi><mo>-</mo><mi>d</mi><imaginaryi/><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></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> Add/Subtract Complex 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mo»+«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo».«/mo»«/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><mn>1</mn><mo>,</mo><mn>25</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>15</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>1</mn><mo>,</mo><mn>25</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>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>-</mo><mi>b</mi><imaginaryi/><mo>)</mo><mo>+</mo><mo>(</mo><mi>c</mi><mo>-</mo><mi>d</mi><imaginaryi/><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></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> Add/Subtract Complex 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mo»-«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo».«/mo»«/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><mn>1</mn><mo>,</mo><mn>25</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>15</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>1</mn><mo>,</mo><mn>25</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>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><imaginaryi/><mo>)</mo><mo>-</mo><mo>(</mo><mi>c</mi><mo>-</mo><mi>d</mi><imaginaryi/><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></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> Add/Subtract Complex 5 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mo»-«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo».«/mo»«/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><mn>1</mn><mo>,</mo><mn>25</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>15</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>1</mn><mo>,</mo><mn>25</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>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>-</mo><mi>b</mi><imaginaryi/><mo>)</mo><mo>-</mo><mo>(</mo><mi>c</mi><mo>+</mo><mi>d</mi><imaginaryi/><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></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> Add/Subtract Complex 6 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mo»-«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo».«/mo»«/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><mn>1</mn><mo>,</mo><mn>25</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>15</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>1</mn><mo>,</mo><mn>25</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>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>-</mo><mi>b</mi><imaginaryi/><mo>)</mo><mo>-</mo><mo>(</mo><mi>c</mi><mo>-</mo><mi>d</mi><imaginaryi/><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></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 4 Quiz 3/Objective 10b Multiply Complex 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo».«/mo»«/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><mn>1</mn><mo>,</mo><mn>9</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><mn>1</mn><mo>,</mo><mn>9</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>sol</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><imaginaryi/><mo>)</mo><mo>(</mo><mi>c</mi><mo>+</mo><mi>d</mi><imaginaryi/><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></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> Multiply Complex 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo».«/mo»«/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><mn>1</mn><mo>,</mo><mn>9</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><mn>1</mn><mo>,</mo><mn>9</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>sol</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><imaginaryi/><mo>)</mo><mo>(</mo><mi>c</mi><mo>-</mo><mi>d</mi><imaginaryi/><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></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> Multiply Complex 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo».«/mo»«/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><mn>1</mn><mo>,</mo><mn>9</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><mn>1</mn><mo>,</mo><mn>9</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>sol</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>-</mo><mi>b</mi><imaginaryi/><mo>)</mo><mo>(</mo><mi>c</mi><mo>+</mo><mi>d</mi><imaginaryi/><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></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> Multiply Complex 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo».«/mo»«/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><mn>1</mn><mo>,</mo><mn>9</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><mn>1</mn><mo>,</mo><mn>9</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>sol</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>-</mo><mi>b</mi><imaginaryi/><mo>)</mo><mo>(</mo><mi>c</mi><mo>-</mo><mi>d</mi><imaginaryi/><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></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 4 Quiz 3/Objective 10c Divide Complex 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/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>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</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>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>b</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><mi>a</mi><mrow><mi>b</mi><mo>+</mo><mi>c</mi><imaginaryi/></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"></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> Divide Complex 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/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>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</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>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>b</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><mi>a</mi><mrow><mi>b</mi><mo>-</mo><mi>c</mi><imaginaryi/></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^(-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> Divide Complex 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«/mrow»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/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>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</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>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>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>b</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>d</mi><imaginaryi/></mrow><mrow><mi>b</mi><mo>-</mo><mi>c</mi><imaginaryi/></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"></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> Divide Complex 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«/mrow»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mtext mathvariant=¨italic¨»i«/mtext»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Use«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»editor«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/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>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</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>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>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>b</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>d</mi><imaginaryi/></mrow><mrow><mi>b</mi><mo>+</mo><mi>c</mi><imaginaryi/></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"></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 4 Quiz 3/Objective 8a Product Rule 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Simplify«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»expression«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msqrt»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«/msqrt»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Make«/mi»«mo»§#160;«/mo»«mi»sure«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»radical«/mi»«mo»§#160;«/mo»«mi»form«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #b#c]]> <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>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>7</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>c</mi><mo>≠</mo><mn>4</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msup><mi>b</mi><mn>2</mn></msup><mo>*</mo><mi>c</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>b</mi><msqrt><mo>#</mo><mi>c</mi></msqrt></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-0)</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> Algebra/Unit 4 Quiz 3/Objective 8b Quotient Rule Perfect «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»§#160;«/mo»«mi»below«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msqrt»«mfrac»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«/mrow»«/mfrac»«/msqrt»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Make«/mi»«mo»§#160;«/mo»«mi»sure«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»radical«/mi»«mo»§#160;«/mo»«mi»form«/mi»«mo».«/mo»«/math»

]]> 1.0000000 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>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a</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><mn>4</mn><mo>∧</mo><mi>gcd</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>c</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>b</mi><mo>=</mo><msup><mi>c</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msqrt><mfrac><mi>a</mi><mi>b</mi></mfrac></msqrt></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^(-0)</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 4 Quiz 3/Objective 8c Simplify with Conjugate 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»§#160;«/mo»«mi»below«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»+«/mo»«msqrt»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«/msqrt»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Give«/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»simplified«/mi»«mo»§#160;«/mo»«mi»radical«/mi»«mo»§#160;«/mo»«mi»form«/mi»«mo».«/mo»«/math»

]]> 2.0000000 0.3333333 0 0 #d-#a#c#e]]> <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>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>11</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mo>(</mo><mi>b</mi><mo>+</mo><msqrt><mi>c</mi></msqrt><mo>)</mo><mo>(</mo><mi>b</mi><mo>-</mo><msqrt><mi>c</mi></msqrt><mo>)</mo></mtd></mtr></mtable><mrow><mi>c</mi><mo>≠</mo><mn>4</mn><mo>∧</mo><mi>e</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>e</mi><mo>≠</mo><mo>-</mo><mn>1</mn><mo>∧</mo><mi>gcd</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>e</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>c</mi><mo>=</mo><mn>8</mn><mo>∨</mo><mi>c</mi><mo>=</mo><mn>9</mn></mrow><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>13</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mo>(</mo><mi>b</mi><mo>+</mo><msqrt><mi>c</mi></msqrt><mo>)</mo><mo>(</mo><mi>b</mi><mo>-</mo><msqrt><mi>c</mi></msqrt><mo>)</mo></mtd></mtr></mtable><mrow><mi>e</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>e</mi><mo>≠</mo><mo>-</mo><mn>1</mn><mo>∧</mo><mi>gcd</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>e</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>#</mo><mi mathvariant="normal">d</mi><mo>-</mo><mo>#</mo><mi>a</mi><msqrt><mo>#</mo><mi>c</mi></msqrt></mrow><mrow><mo>#</mo><mi mathvariant="normal">e</mi></mrow></mfrac></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</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> Simplify with Conjugate 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»«mo»§#160;«/mo»«mi»below«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»-«/mo»«msqrt»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«/msqrt»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Give«/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»simplified«/mi»«mo»§#160;«/mo»«mi»radical«/mi»«mo»§#160;«/mo»«mi»form«/mi»«mo».«/mo»«/math»

]]> 2.0000000 0.3333333 0 0 #d+#a#c#e]]> <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>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>11</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mo>(</mo><mi>b</mi><mo>+</mo><msqrt><mi>c</mi></msqrt><mo>)</mo><mo>(</mo><mi>b</mi><mo>-</mo><msqrt><mi>c</mi></msqrt><mo>)</mo></mtd></mtr></mtable><mrow><mi>c</mi><mo>≠</mo><mn>4</mn><mo>∧</mo><mi>e</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>e</mi><mo>≠</mo><mo>-</mo><mn>1</mn><mo>∧</mo><mi>gcd</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>e</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>c</mi><mo>=</mo><mn>8</mn><mo>∨</mo><mi>c</mi><mo>=</mo><mn>9</mn></mrow><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>13</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mo>(</mo><mi>b</mi><mo>+</mo><msqrt><mi>c</mi></msqrt><mo>)</mo><mo>(</mo><mi>b</mi><mo>-</mo><msqrt><mi>c</mi></msqrt><mo>)</mo></mtd></mtr></mtable><mrow><mi>e</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>e</mi><mo>≠</mo><mo>-</mo><mn>1</mn><mo>∧</mo><mi>gcd</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>e</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>#</mo><mi mathvariant="normal">d</mi><mo>+</mo><mo>#</mo><mi>a</mi><msqrt><mo>#</mo><mi>c</mi></msqrt></mrow><mrow><mo>#</mo><mi mathvariant="normal">e</mi></mrow></mfrac></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</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 4 Quiz 3/Objective 9a Solve no b term 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msup»«mi mathvariant=¨normal¨»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/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»in«/mi»«mo»§#160;«/mo»«mi»simplest«/mi»«mo»§#160;«/mo»«mi»radical«/mi»«mo»§#160;«/mo»«mi»form«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»receive«/mi»«mspace linebreak=¨newline¨/»«mi»credit«/mi»«mo».«/mo»«/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><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>19</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>y</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>99</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>y</mi><mo>-</mo><mi>k</mi><mo>></mo><mn>0</mn></mrow></apply></math></input></command><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><msqrt><mfrac><mfenced><mrow><mi>y</mi><mo>-</mo><mi>k</mi></mrow></mfenced><mi>a</mi></mfrac></msqrt><mo>+</mo><mi>h</mi></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mo>-</mo><msqrt><mfrac><mfenced><mrow><mi>y</mi><mo>-</mo><mi>k</mi></mrow></mfenced><mi>a</mi></mfrac></msqrt><mo>+</mo><mi>h</mi></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><msqrt><mfrac><mfenced><mrow><mi>y</mi><mo>-</mo><mi>k</mi></mrow></mfenced><mi>a</mi></mfrac></msqrt></mtd></mtr></mtable><mrow><mi>p</mi><mo>∉</mo><integers/></mrow></apply></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><mo>#</mo><mi>m</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>±</mo><mo>#</mo><mi>m</mi></math>]]></correctAnswer><correctAnswer id="2" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>m</mi><mo> </mo><mi>a</mi><mi>n</mi><mi mathvariant="normal">d</mi><mo> </mo><mo>#</mo><mi>n</mi></math>]]></correctAnswer><correctAnswer id="3" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>n</mi><mo> </mo><mi>a</mi><mi>n</mi><mi mathvariant="normal">d</mi><mo> </mo><mo>#</mo><mi>m</mi></math>]]></correctAnswer><correctAnswer id="4" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>m</mi><mo>,</mo><mo>#</mo><mi>n</mi></math>]]></correctAnswer><correctAnswer id="5" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>n</mi><mo>,</mo><mo>#</mo><mi>m</mi></math>]]></correctAnswer><correctAnswer id="6" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>m</mi><mo>,</mo><mo>#</mo><mi>n</mi></math>]]></correctAnswer><correctAnswer id="7" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>n</mi><mo>,</mo><mo>#</mo><mi>m</mi></math>]]></correctAnswer><correctAnswer id="8" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>h</mi><mo>±</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="9" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>h</mi><mo>±</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="10" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>h</mi><mo>+</mo><mo>#</mo><mi>p</mi><mo> </mo><mi>a</mi><mi>n</mi><mi mathvariant="normal">d</mi><mo> </mo><mo>#</mo><mi>h</mi><mo>-</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="11" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>h</mi><mo>+</mo><mo>#</mo><mi>p</mi><mo> </mo><mi>a</mi><mi>n</mi><mi mathvariant="normal">d</mi><mo> </mo><mo>#</mo><mi>h</mi><mo>-</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="12" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>h</mi><mo>-</mo><mo>#</mo><mi>p</mi><mo> </mo><mi>a</mi><mi>n</mi><mi mathvariant="normal">d</mi><mo> </mo><mo>#</mo><mi>h</mi><mo>+</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="13" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>h</mi><mo>-</mo><mo>#</mo><mi>p</mi><mo> </mo><mi>a</mi><mi>n</mi><mi mathvariant="normal">d</mi><mo> </mo><mo>#</mo><mi>h</mi><mo>+</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="14" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>h</mi><mo>+</mo><mi>p</mi><mo>,</mo><mo>#</mo><mi>h</mi><mo>-</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="15" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>h</mi><mo>+</mo><mo>#</mo><mi>p</mi><mo>,</mo><mo>#</mo><mi>h</mi><mo>-</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="16" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>h</mi><mo>-</mo><mo>#</mo><mi>p</mi><mo>,</mo><mo>#</mo><mi>h</mi><mo>+</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="17" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>h</mi><mo>-</mo><mo>#</mo><mi>p</mi><mo>,</mo><mo>#</mo><mi>h</mi><mo>+</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="18"></correctAnswer><correctAnswer id="19"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="check_simplified" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_literal" correctAnswer="1"/><assertion name="check_simplified" correctAnswer="2"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_literal" correctAnswer="2"/><assertion name="check_simplified" correctAnswer="3"/><assertion name="syntax_expression" correctAnswer="3"/><assertion name="equivalent_literal" correctAnswer="3"/><assertion name="check_simplified" correctAnswer="4"/><assertion name="syntax_expression" correctAnswer="4"/><assertion name="equivalent_literal" correctAnswer="4"/><assertion name="check_simplified" correctAnswer="5"/><assertion name="syntax_expression" correctAnswer="5"/><assertion name="equivalent_literal" correctAnswer="5"/><assertion name="check_simplified" correctAnswer="7"/><assertion name="syntax_expression" correctAnswer="7"/><assertion name="equivalent_literal" correctAnswer="7"/><assertion name="check_simplified" correctAnswer="6"/><assertion name="syntax_expression" correctAnswer="6"/><assertion name="equivalent_literal" correctAnswer="6"/><assertion name="syntax_expression" correctAnswer="8"/><assertion name="equivalent_literal" correctAnswer="8"/><assertion name="syntax_expression" correctAnswer="10"/><assertion name="equivalent_literal" correctAnswer="10"/><assertion name="syntax_expression" correctAnswer="11"/><assertion name="equivalent_literal" correctAnswer="11"/><assertion name="syntax_expression" correctAnswer="12"/><assertion name="equivalent_literal" correctAnswer="12"/><assertion name="syntax_expression" correctAnswer="13"/><assertion name="equivalent_literal" correctAnswer="13"/><assertion name="syntax_expression" correctAnswer="14"/><assertion name="equivalent_literal" correctAnswer="14"/><assertion name="syntax_expression" correctAnswer="15"/><assertion name="equivalent_literal" correctAnswer="15"/><assertion name="syntax_expression" correctAnswer="16"/><assertion name="equivalent_literal" correctAnswer="16"/><assertion name="syntax_expression" correctAnswer="17"/><assertion name="equivalent_literal" correctAnswer="17"/><assertion name="syntax_expression"/><assertion name="equivalent_literal"/><assertion name="syntax_expression" correctAnswer="9"/><assertion name="equivalent_literal" correctAnswer="9"/></assertions><options><option name="tolerance">10^(-4)</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="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Solve Vertex Form 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»below«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi»a«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»k«/mi»«mo»=«/mo»«mn»0«/mn»«mspace linebreak=¨newline¨/»«/math»

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