Question 1

Determine whether the lines through each pair of points are parallel.
-(-7, 2) and (-11, -14); (6, 1) and (8, -7)

Accepted Answer

A)  parallel 
B)  not parallel 
A)  parallel 
B)  not parallel B

Question 2

Write an equation for the graph.
-

Accepted Answer

A)  x = -6 
B)  y = 6 
C)  y = -6 
D)  x = 6 
A)  x = -6 
B)  y = 6 
C)  y = -6 
D)  x = 6 A

Question 3

Determine whether the lines through each pair of points are perpendicular.
-(6, -2) and (4, -10); (4, 10) and (8, 9)

Accepted Answer

A)  not perpendicular 
B)  perpendicular 
A)  not perpendicular 
B)  perpendicular B

Question 4

Determine whether the lines through each pair of points are perpendicular.
-(3, 10) and (-9, 14); (-2, 8) and (0, 14)

Accepted Answer

A)  not perpendicular 
B)  perpendicular 
A)  not perpendicular 
B)  perpendicular

Question 5

Graph the equation.
-30 - 10x = 0

Accepted Answer

A)   
B)   
C)   
D)   
A)   
B)   
C)   
D)

Question 6

Find the slope of the line, or state that the slope is undefined.
-

Accepted Answer

A)  Undefined 
B)  -4 
C)  2 
D)  0 
A)  Undefined 
B)  -4 
C)  2 
D)  0

Question 7

Find the slope of the line passing through the pair of points or state that the slope is undefined.
-$( - 6 , - 3 ) , ( 1 , - 8 )$

Accepted Answer

A)  $- \frac { 7 } { 5 }$ 
B)  $- 3$ 
C)  $- \frac { 5 } { 7 }$ 
D)  $- \frac { 1 } { 3 }$ 
A)  $- \frac { 7 } { 5 }$ 
B)  $- 3$ 
C)  $- \frac { 5 } { 7 }$ 
D)  $- \frac { 1 } { 3 }$

Question 8

Graph using a graphing utility and identify the x- and y-intercepts from the graph. Use the indicated graphing window
dimensions.
-$x - 3 y = 6$ (window size $[ - 10,10,1 ]$ by $[ - 10,10,1 ]$ )

Accepted Answer

A)  $x$-intercept $= - 3 ; y$-intercept $= - \frac { 1 } { 2 }$
  
B) $x \text {-intercept }=-6 ; y \text {-intercept }=-2$
  
C) $x \text {-intercept }=-2 ; y \text {-intercept }=6$
  
D) $x \text {-intercept }=6 ; y \text {-intercept }=-2$
  
A)  $x$-intercept $= - 3 ; y$-intercept $= - \frac { 1 } { 2 }$
  
B) $x \text {-intercept }=-6 ; y \text {-intercept }=-2$
  
C) $x \text {-intercept }=-2 ; y \text {-intercept }=6$
  
D) $x \text {-intercept }=6 ; y \text {-intercept }=-2$

Question 9

Find the y- and x-intercepts for the equation. Then graph the equation.
-4x - y = 2

Accepted Answer

A)  $( 0 , - 2 ) ; \left( - \frac { 1 } { 2 } , 0 \right)$
  
B)  $( 0 , - 2 ) ; \left( \frac { 1 } { 2 } , 0 \right)$
  
C)  $\left( 0 , - \frac { 1 } { 2 } \right) ; ( - 2,0 )$
  
D)  $\left( 0 , \frac { 1 } { 2 } \right) ; ( - 2,0 )$
  
A)  $( 0 , - 2 ) ; \left( - \frac { 1 } { 2 } , 0 \right)$
  
B)  $( 0 , - 2 ) ; \left( \frac { 1 } { 2 } , 0 \right)$
  
C)  $\left( 0 , - \frac { 1 } { 2 } \right) ; ( - 2,0 )$
  
D)  $\left( 0 , \frac { 1 } { 2 } \right) ; ( - 2,0 )$

Question 10

The graph shows the monthly revenue in millions of dollars of a growing company after the company doubled its advertising. Use the graph to solve the problem.  
-2x - 4y = 5

Accepted Answer

A)  $x$-intercept $= 3 ; y$-intercept $= 9$ 
B)  $x$-intercept $= \frac { 5 } { 2 } ; y$-intercept $= \frac { 5 } { 4 }$ 
C)  $x$-intercept $= \frac { 5 } { 2 } ; y$-intercept $= - \frac { 5 } { 4 }$ 
D)  $x$-intercept $= - \frac { 5 } { 4 } ; y$-intercept $= \frac { 5 } { 2 }$ 
A)  $x$-intercept $= 3 ; y$-intercept $= 9$ 
B)  $x$-intercept $= \frac { 5 } { 2 } ; y$-intercept $= \frac { 5 } { 4 }$ 
C)  $x$-intercept $= \frac { 5 } { 2 } ; y$-intercept $= - \frac { 5 } { 4 }$ 
D)  $x$-intercept $= - \frac { 5 } { 4 } ; y$-intercept $= \frac { 5 } { 2 }$

Question 11

Solve.
-The approach ramp used by a daredevil motorcyclist for flying over a collection of flaming railroad ties has a rise of 28 feet for every 40 feet in horizontal distance. Find the grade of the ramp. Round to the nearest whole
Percent.

Accepted Answer

A)  75% 
B)  0.7% 
C)  70% 
D)  14% 
A)  75% 
B)  0.7% 
C)  70% 
D)  14%

Question 12

The graph shows the monthly revenue in millions of dollars of a growing company after the company doubled its advertising. Use the graph to solve the problem.  
-How many months after the company doubled its advertising did the maximum monthly revenue occur.

Accepted Answer

A)  9 months 
B)  0 months 
C)  6 months 
D)  12 months 
A)  9 months 
B)  0 months 
C)  6 months 
D)  12 months

Question 13

Give the ordered pairs that correspond to the points labeled in the figure.
-

Accepted Answer

A)  A = (7, 20), B = (3, -4) 
B)  A = (2, 7), B = (3, -4) 
C)  A = (2, 7), B = (-4, 3) 
D)  A = (2, 3), B = (7, 3) 
A)  A = (7, 20), B = (3, -4) 
B)  A = (2, 7), B = (3, -4) 
C)  A = (2, 7), B = (-4, 3) 
D)  A = (2, 3), B = (7, 3)

Question 14

The graph shows the monthly revenue in millions of dollars of a growing company after the company doubled its advertising. Use the graph to solve the problem.  
-10x - 2y = -6

Accepted Answer

A)  $x$-intercept $= \frac { 3 } { 5 } ; y$-intercept $= 3$ 
B)  $x$-intercept $= - \frac { 3 } { 5 } ; y$-intercept $= - 3$ 
C)  $x$-intercept $= - \frac { 3 } { 5 } ; y$-intercept $= 3$ 
D)  $x$-intercept $= 3 ; y$-intercept $= - \frac { 3 } { 5 }$ 
A)  $x$-intercept $= \frac { 3 } { 5 } ; y$-intercept $= 3$ 
B)  $x$-intercept $= - \frac { 3 } { 5 } ; y$-intercept $= - 3$ 
C)  $x$-intercept $= - \frac { 3 } { 5 } ; y$-intercept $= 3$ 
D)  $x$-intercept $= 3 ; y$-intercept $= - \frac { 3 } { 5 }$

Question 15

Determine whether the lines through each pair of points are perpendicular.
-(-10, -5) and (-12, -11); (1, -3) and (2, -6)

Accepted Answer

A)  not perpendicular 
B)  perpendicular 
A)  not perpendicular 
B)  perpendicular

Question 16

Find the y- and x-intercepts for the equation. Then graph the equation.
-2x - 4y = 4

Accepted Answer

A)  $( 0,1 ) ; ( 2,0 )$
  
B)  $( 0 , - 1 ) ; ( - 2,0 )$
  
C)  $( 0 , - 1 ) ; ( 2,0 )$
  
D)  $( 0,1 ) ; ( - 2,0 )$
  
A)  $( 0,1 ) ; ( 2,0 )$
  
B)  $( 0 , - 1 ) ; ( - 2,0 )$
  
C)  $( 0 , - 1 ) ; ( 2,0 )$
  
D)  $( 0,1 ) ; ( - 2,0 )$

Question 17

Indicate in which quadrant the point lies.
-$\left( \frac { 3 } { 8 } , - \frac { 2 } { 5 } \right)$

Accepted Answer

A)  II 
B)  I 
C)  IV 
D)  III 
A)  II 
B)  I 
C)  IV 
D)  III

Question 18

Solve.
-A tent has the dimensions shown in feet. Find d so that the pitch of the left side of the roof is $$\frac { 4 } { 3 }$$

Accepted Answer

A)  3 feet 
B)  $\frac { 1 } { 3 }$ feet 
C)  4 feet 
D)  $1 \frac { 1 } { 3 }$ feet 
A)  3 feet 
B)  $\frac { 1 } { 3 }$ feet 
C)  4 feet 
D)  $1 \frac { 1 } { 3 }$ feet

Question 19

Plot the given point in a rectangular coordinate system.
-$(6,-3)$

Accepted Answer

A)   
B)   
C)   
D)   
A)   
B)   
C)   
D)

Question 20

Plot the given point in a rectangular coordinate system.
-$\left( - \frac { 3 } { 2 } , 0 \right)$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Determine whether the lines through each pair of points are parallel. -(-7, 2) and (-11, -14); (6, 1) and (8, -7)

Write an equation for the graph. -

Determine whether the lines through each pair of points are perpendicular. -(6, -2) and (4, -10); (4, 10) and (8, 9)

Determine whether the lines through each pair of points are perpendicular. -(3, 10) and (-9, 14); (-2, 8) and (0, 14)

Graph the equation. -30 - 10x = 0

Find the slope of the line, or state that the slope is undefined. -

Find the slope of the line passing through the pair of points or state that the slope is undefined. - $( - 6 , - 3 ) , ( 1 , - 8 )$

Graph using a graphing utility and identify the x- and y-intercepts from the graph. Use the indicated graphing window dimensions. - $x - 3 y = 6$ (window size $[ - 10,10,1 ]$ by $[ - 10,10,1 ]$ )

Find the y- and x-intercepts for the equation. Then graph the equation. -4x - y = 2

The graph shows the monthly revenue in millions of dollars of a growing company after the company doubled its advertising. Use the graph to solve the problem. -2x - 4y = 5

Solve. -The approach ramp used by a daredevil motorcyclist for flying over a collection of flaming railroad ties has a rise of 28 feet for every 40 feet in horizontal distance. Find the grade of the ramp. Round to the nearest whole Percent.

The graph shows the monthly revenue in millions of dollars of a growing company after the company doubled its advertising. Use the graph to solve the problem. -How many months after the company doubled its advertising did the maximum monthly revenue occur.

Give the ordered pairs that correspond to the points labeled in the figure. -

The graph shows the monthly revenue in millions of dollars of a growing company after the company doubled its advertising. Use the graph to solve the problem. -10x - 2y = -6

Determine whether the lines through each pair of points are perpendicular. -(-10, -5) and (-12, -11); (1, -3) and (2, -6)

Find the y- and x-intercepts for the equation. Then graph the equation. -2x - 4y = 4

Indicate in which quadrant the point lies. - $\left( \frac { 3 } { 8 } , - \frac { 2 } { 5 } \right)$

Solve. -A tent has the dimensions shown in feet. Find d so that the pitch of the left side of the roof is $\frac { 4 } { 3 }$ $Solve. -A tent has the dimensions shown in feet. Find d so that the pitch of the left side of the roof is \frac { 4 } { 3 }$

Plot the given point in a rectangular coordinate system. - $(6,-3)$

Plot the given point in a rectangular coordinate system. - $\left( - \frac { 3 } { 2 } , 0 \right)$ $Plot the given point in a rectangular coordinate system. - \left( - \frac { 3 } { 2 } , 0 \right)$

Variables, Real Numbers, and Mathematical Models

Linear Equations and Inequalities in One Variable

Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Basics of Functions

Inequalities and Problem Solving

Radicals, Radical Functions, and Rational Exponents

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Exam 3: Linear Equations in Two Variables