Algebra/Unit 2 Quiz 1/Objective 1a Function 1 The following is a function:

]]> 1.0000000 1.0000000 0 True False This graph passes the vertical line test and is a function.

]]> 1.0000000 1.0000000 0 True False This graph fails the vertical line test and is not a function.

]]> 1.0000000 1.0000000 0 True False This graph passes the vertical line test and is a function.

]]> 1.0000000 1.0000000 0 True False All of the inputs (x) have only one output (y).

]]> <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>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</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>g</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>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>j</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mi>c</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>e</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>g</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>c</mi><mo>≠</mo><mi>e</mi><mo>∧</mo><mi>c</mi><mo>≠</mo><mi>g</mi><mo>∧</mo><mi>c</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>e</mi><mo>≠</mo><mi>g</mi><mo>∧</mo><mi>e</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>g</mi><mo>≠</mo><mi>i</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> Function Ordered Pairs 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»The«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pairs«/mi»«mo»§#160;«/mo»«mi»represent«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»e«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»f«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»g«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»h«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»j«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 1.0000000 0 True False All of the inputs (x) have only one output (y).

]]> <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>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</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>g</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>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>j</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mi>c</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>e</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>g</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>c</mi><mo>≠</mo><mi>e</mi><mo>∧</mo><mi>c</mi><mo>≠</mo><mi>g</mi><mo>∧</mo><mi>c</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>e</mi><mo>≠</mo><mi>g</mi><mo>∧</mo><mi>e</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>g</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>d</mi><mo>=</mo><mi>j</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> Function Ordered Pairs 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»The«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pairs«/mi»«mo»§#160;«/mo»«mi»represent«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»e«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»f«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»g«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»h«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»j«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 1.0000000 0 True False The input #a has two different outputs, #b and #h.

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</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>g</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>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>j</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mi>c</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>e</mi><mo>∧</mo><mi>a</mi><mo>=</mo><mi>g</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>c</mi><mo>≠</mo><mi>e</mi><mo>∧</mo><mi>c</mi><mo>≠</mo><mi>g</mi><mo>∧</mo><mi>c</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>e</mi><mo>≠</mo><mi>g</mi><mo>∧</mo><mi>e</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>g</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>b</mi><mo>≠</mo><mi>h</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> Function Ordered Pairs 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»The«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pairs«/mi»«mo»§#160;«/mo»«mi»represent«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»e«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»f«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»g«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»h«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»i«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»j«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 1.0000000 0 True False The input #e has two different outputs, #f and #j.

]]> <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>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</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>g</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>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>j</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mi>c</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>e</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>g</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>c</mi><mo>≠</mo><mi>e</mi><mo>∧</mo><mi>c</mi><mo>≠</mo><mi>g</mi><mo>∧</mo><mi>c</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>e</mi><mo>≠</mo><mi>g</mi><mo>∧</mo><mi>e</mi><mo>=</mo><mi>i</mi><mo>∧</mo><mi>g</mi><mo>≠</mo><mi>i</mi><mo>∧</mo><mi>f</mi><mo>≠</mo><mi>j</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> Algebra/Unit 2 Quiz 1/Objective 2a Table of Values 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Suppose«/mi»«mo»§#160;«/mo»«mi»you«/mi»«mo»§#160;«/mo»«mi»were«/mi»«mo»§#160;«/mo»«mi»asked«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»make«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»table«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»values«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»n«/mi»«mtext»x«/mtext»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»q«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»If«/mi»«mo»§#160;«/mo»«mi»used«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»-«/mo»«mi»values«/mi»«mo»§#160;«/mo»«mo»-«/mo»«mn»2«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mo»-«/mo»«mn»1«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mn»0«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mi»what«/mi»«mo»§#160;«/mo»«mi»would«/mi»«mo»§#160;«/mo»«mi»be«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»values«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»?«/mo»«/math»

]]> 2.0000000 0.3333333 0 0 f(-2)=#af(-1)=#bf(0)=#cf(1)=#df(2)=#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>n</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>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>*</mo><mi>n</mi><mo>+</mo><mi>q</mi></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>*</mo><mi>n</mi><mo>+</mo><mi>q</mi></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>q</mi></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>n</mi><mo>+</mo><mi>q</mi></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>n</mi><mo>+</mo><mi>q</mi></mtd></mtr></mtable><mrow><mi>n</mi><mo>≠</mo><mn>0</mn><mo>∨</mo><mn>1</mn></mrow></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mi>f</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi>b</mi><mspace linebreak="newline"/><mi>f</mi><mo>(</mo><mn>0</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi>c</mi><mspace linebreak="newline"/><mi>f</mi><mo>(</mo><mn>1</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mspace linebreak="newline"/><mi>f</mi><mo>(</mo><mn>2</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">e</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">true</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">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Table of Values 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Suppose«/mi»«mo»§#160;«/mo»«mi»you«/mi»«mo»§#160;«/mo»«mi»were«/mi»«mo»§#160;«/mo»«mi»asked«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»make«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»table«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»values«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»n«/mi»«mtext»x«/mtext»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»q«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»If«/mi»«mo»§#160;«/mo»«mi»used«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»-«/mo»«mi»values«/mi»«mo»§#160;«/mo»«mo»-«/mo»«mn»2«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mo»-«/mo»«mn»1«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mn»0«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mi»what«/mi»«mo»§#160;«/mo»«mi»would«/mi»«mo»§#160;«/mo»«mi»be«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»values«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»?«/mo»«/math»

]]> 2.0000000 0.3333333 0 0 f(-2)=#af(-1)=#bf(0)=#cf(1)=#df(2)=#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>n</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>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>*</mo><mi>n</mi><mo>-</mo><mi>q</mi></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>*</mo><mi>n</mi><mo>-</mo><mi>q</mi></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mn>0</mn><mo>-</mo><mi>q</mi></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>n</mi><mo>-</mo><mi>q</mi></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>n</mi><mo>-</mo><mi>q</mi></mtd></mtr></mtable><mrow><mi>n</mi><mo>≠</mo><mn>0</mn><mo>∨</mo><mn>1</mn></mrow></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mi>f</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi>b</mi><mspace linebreak="newline"/><mi>f</mi><mo>(</mo><mn>0</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi>c</mi><mspace linebreak="newline"/><mi>f</mi><mo>(</mo><mn>1</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mspace linebreak="newline"/><mi>f</mi><mo>(</mo><mn>2</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">e</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">true</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">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Algebra/Unit 2 Quiz 1/Objective 2b Horizontal «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»th«/mi»«mi mathvariant=¨normal¨»e«/mi»«mo»§#160;«/mo»«mi»horizontal«/mi»«mo»§#160;«/mo»«mi»line«/mi»«mo»§#160;«/mo»«mi»that«/mi»«mo»§#160;«/mo»«mi»go«/mi»«mi»e«/mi»«mi»s«/mi»«mspace linebreak=¨newline¨/»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»point«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»?«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 y=#b]]> <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>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mi>b</mi></mrow></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>b</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="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="casSession"/></localData></question> Vertical «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»vertical«/mi»«mo»§#160;«/mo»«mi»line«/mi»«mo»§#160;«/mo»«mi»that«/mi»«mo»§#160;«/mo»«mi»go«/mi»«mi»e«/mi»«mi»s«/mi»«mspace linebreak=¨newline¨/»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»point«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»?«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 x=#a]]> <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>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mi>b</mi></mrow></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>a</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="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="casSession"/></localData></question> Algebra/Unit 2 Quiz 1/Objective 3 Slope 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»slope«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»line«/mi»«mo»§#160;«/mo»«mi»that«/mi»«mo»§#160;«/mo»«mi»goes«/mi»«mo»§#160;«/mo»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»points«/mi»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»fraction«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»lowest«/mi»«mo»§#160;«/mo»«mi»terms«/mi»«mo».«/mo»«/math»

]]> 2.0000000 0.3333333 0 0 #sol #sol Please write your answer as a fraction in lowest terms, not a decimal.

]]> #w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»§#916;«/mi»«mi»y«/mi»«/mrow»«mrow»«mi»§#916;«/mi»«mi»x«/mi»«/mrow»«/mfrac»«mo»,«/mo»«mo»§#160;«/mo»«mi»you«/mi»«mo»§#160;«/mo»«mi»did«/mi»«mo»§#160;«/mo»«mfrac»«mrow»«mi»§#916;«/mi»«mi»x«/mi»«/mrow»«mrow»«mi»§#916;«/mi»«mi»y«/mi»«/mrow»«/mfrac»«/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><mo>-</mo><mn>9</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><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><mo>-</mo><mn>9</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>9</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>c</mi><mo>≠</mo><mi>a</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>d</mi><mo>-</mo><mi>b</mi></mrow><mrow><mi>c</mi><mo>-</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w</mi><mo>=</mo><mfrac><mrow><mi>c</mi><mo>-</mo><mi>a</mi></mrow><mrow><mi>d</mi><mo>-</mo><mi>b</mi></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2">#w</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="check_fraction_form"/><assertion name="check_simplified" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_symbolic" correctAnswer="2"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Algebra/Unit 2 Quiz 1/Objective 4 Slope (PPN) 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Line«/mi»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mi»goes«/mi»«mo»§#160;«/mo»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»points«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Line«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»goes«/mi»«mo»§#160;«/mo»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»points«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»e«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»f«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»g«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»h«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Are«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»two«/mi»«mo»§#160;«/mo»«mi»lines«/mi»«mo»§#160;«/mo»«mi»parallel«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»perpendicular«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»neither«/mi»«mo»?«/mo»«/math»

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

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> Parallel

]]> Perpendicular

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»The«/mi»«mo»§#160;«/mo»«mi»slopes«/mi»«mo»§#160;«/mo»«mi»are«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»same«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Slope«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»line«/mi»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»m«/mi»«mspace linebreak=¨newline¨/»«mi»Slope«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»line«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»n«/mi»«/math»

]]> Neither

]]> <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>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</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>d</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>e</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>f</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>g</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>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>d</mi><mo>-</mo><mi>b</mi><mo>=</mo><mi>h</mi><mo>-</mo><mi>f</mi><mo>∧</mo><mi>c</mi><mo>-</mo><mi>a</mi><mo>=</mo><mi>g</mi><mo>-</mo><mi>e</mi><mo>∧</mo><mi>b</mi><mo>≠</mo><mi>d</mi><mo>∧</mo><mi>f</mi><mo>≠</mo><mi>h</mi><mo>∧</mo><mi>b</mi><mo>≠</mo><mi>f</mi><mo>∧</mo><mi>d</mi><mo>≠</mo><mi>h</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>c</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mfrac><mrow><mi>d</mi><mo>-</mo><mi>b</mi></mrow><mrow><mi>c</mi><mo>-</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>=</mo><mfrac><mrow><mi>h</mi><mo>-</mo><mi>f</mi></mrow><mrow><mi>g</mi><mo>-</mo><mi>e</mi></mrow></mfrac></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> Slope (PPN) 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Line«/mi»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mi»goes«/mi»«mo»§#160;«/mo»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»points«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Line«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»goes«/mi»«mo»§#160;«/mo»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»points«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»e«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»f«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»g«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»h«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Are«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»two«/mi»«mo»§#160;«/mo»«mi»lines«/mi»«mo»§#160;«/mo»«mi»parallel«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»perpendicular«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»neither«/mi»«mo»?«/mo»«/math»

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

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> Parallel

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»The«/mi»«mo»§#160;«/mo»«mi»slopes«/mi»«mo»§#160;«/mo»«mi»are«/mi»«mo»§#160;«/mo»«mi»different«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Slope«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»line«/mi»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»m«/mi»«mspace linebreak=¨newline¨/»«mi»Slope«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»line«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»n«/mi»«/math»

]]> Perpendicular

]]> Neither

]]> <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>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</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>d</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>e</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>f</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>g</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>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>d</mi><mo>-</mo><mi>b</mi><mo>=</mo><mi>h</mi><mo>-</mo><mi>f</mi><mo>∧</mo><mi>c</mi><mo>-</mo><mi>a</mi><mo>≠</mo><mi>g</mi><mo>-</mo><mi>e</mi><mo>∧</mo><mi>b</mi><mo>≠</mo><mi>d</mi><mo>∧</mo><mi>f</mi><mo>≠</mo><mi>h</mi><mo>∧</mo><mi>b</mi><mo>≠</mo><mi>f</mi><mo>∧</mo><mi>d</mi><mo>≠</mo><mi>h</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>c</mi><mo>∧</mo><mi>g</mi><mo>≠</mo><mi>e</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mfrac><mrow><mi>d</mi><mo>-</mo><mi>b</mi></mrow><mrow><mi>c</mi><mo>-</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>=</mo><mfrac><mrow><mi>h</mi><mo>-</mo><mi>f</mi></mrow><mrow><mi>g</mi><mo>-</mo><mi>e</mi></mrow></mfrac></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> Slope (PPN) 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Line«/mi»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mi»goes«/mi»«mo»§#160;«/mo»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»points«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Line«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»goes«/mi»«mo»§#160;«/mo»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»points«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»e«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»f«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»g«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»h«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Are«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»two«/mi»«mo»§#160;«/mo»«mi»lines«/mi»«mo»§#160;«/mo»«mi»parallel«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»perpendicular«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»neither«/mi»«mo»?«/mo»«/math»

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

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> Parallel

]]> Perpendicular

]]> Neither

]]> <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>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</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>d</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>e</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>f</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>g</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>h</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>m</mi><mo>=</mo><mfrac><mrow><mi>d</mi><mo>-</mo><mi>b</mi></mrow><mrow><mi>c</mi><mo>-</mo><mi>a</mi></mrow></mfrac></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mfrac><mrow><mi>h</mi><mo>-</mo><mi>f</mi></mrow><mrow><mi>g</mi><mo>-</mo><mi>e</mi></mrow></mfrac></mtd></mtr></mtable><mrow><mi>d</mi><mo>-</mo><mi>b</mi><mo>≠</mo><mi>h</mi><mo>-</mo><mi>f</mi><mo>∧</mo><mi>c</mi><mo>-</mo><mi>a</mi><mo>≠</mo><mi>g</mi><mo>-</mo><mi>e</mi><mo>∧</mo><mi>c</mi><mo>≠</mo><mi>a</mi><mo>∧</mo><mi>g</mi><mo>≠</mo><mi>e</mi><mo>∧</mo><mi>m</mi><mo>*</mo><mi>n</mi><mo>≠</mo><mo>-</mo><mn>1</mn></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> Slope (PPN) 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Line«/mi»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mi»goes«/mi»«mo»§#160;«/mo»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»points«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Line«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»goes«/mi»«mo»§#160;«/mo»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»points«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»e«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»f«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»g«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»h«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Are«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»two«/mi»«mo»§#160;«/mo»«mi»lines«/mi»«mo»§#160;«/mo»«mi»parallel«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»perpendicular«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»neither«/mi»«mo»?«/mo»«/math»

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

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> Parallel

]]> Perpendicular

]]> Neither

]]> <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>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</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>d</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>e</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>f</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>g</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>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>d</mi><mo>-</mo><mi>b</mi><mo>=</mo><mi>h</mi><mo>-</mo><mi>f</mi><mo>∧</mo><mi>c</mi><mo>-</mo><mi>a</mi><mo>=</mo><mi>g</mi><mo>-</mo><mi>e</mi><mo>∧</mo><mi>b</mi><mo>≠</mo><mi>d</mi><mo>∧</mo><mi>f</mi><mo>≠</mo><mi>h</mi><mo>∧</mo><mi>b</mi><mo>≠</mo><mi>f</mi><mo>∧</mo><mi>d</mi><mo>≠</mo><mi>h</mi><mo>∧</mo><mi>a</mi><mo>≠</mo><mi>c</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mfrac><mrow><mi>d</mi><mo>-</mo><mi>b</mi></mrow><mrow><mi>c</mi><mo>-</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>=</mo><mfrac><mrow><mi>h</mi><mo>-</mo><mi>f</mi></mrow><mrow><mi>g</mi><mo>-</mo><mi>e</mi></mrow></mfrac></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> Slope (PPN) 5 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Line«/mi»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mi»goes«/mi»«mo»§#160;«/mo»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»points«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Line«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»goes«/mi»«mo»§#160;«/mo»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»points«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»e«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»f«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»g«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»h«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Are«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»two«/mi»«mo»§#160;«/mo»«mi»lines«/mi»«mo»§#160;«/mo»«mi»parallel«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»perpendicular«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»neither«/mi»«mo»?«/mo»«/math»

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

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> Parallel

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»The«/mi»«mo»§#160;«/mo»«mi»slopes«/mi»«mo»§#160;«/mo»«mi»are«/mi»«mo»§#160;«/mo»«mi»negative«/mi»«mo»§#160;«/mo»«mi»reciprocals«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Slope«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»line«/mi»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»m«/mi»«mspace linebreak=¨newline¨/»«mi»Slope«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»line«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»n«/mi»«/math»

]]> Perpendicular

]]> Neither

]]> <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><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>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</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>d</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>e</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>f</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>g</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>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mi>c</mi><mo>∧</mo><mi>e</mi><mo>≠</mo><mi>g</mi><mo>∧</mo><mi>b</mi><mo>≠</mo><mi>d</mi><mo>∧</mo><mi>f</mi><mo>≠</mo><mi>h</mi></mrow></apply></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mfrac><mrow><mi>d</mi><mo>-</mo><mi>b</mi></mrow><mrow><mi>c</mi><mo>-</mo><mi>a</mi></mrow></mfrac></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mfrac><mrow><mi>h</mi><mo>-</mo><mi>f</mi></mrow><mrow><mi>g</mi><mo>-</mo><mi>e</mi></mrow></mfrac></mtd></mtr><mtr><mtd/></mtr></mtable><mrow><mi>m</mi><mo>*</mo><mi>n</mi><mo>=</mo><mo>-</mo><mn>1</mn></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> Slope (PPN) 6 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Line«/mi»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mi»goes«/mi»«mo»§#160;«/mo»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»points«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Line«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mi»goes«/mi»«mo»§#160;«/mo»«mi»through«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»points«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»e«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»f«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»g«/mi»«mo»,«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»h«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Are«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»two«/mi»«mo»§#160;«/mo»«mi»lines«/mi»«mo»§#160;«/mo»«mi»parallel«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»perpendicular«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»neither«/mi»«mo»?«/mo»«/math»

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

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> Parallel

]]> Perpendicular

]]> Neither