Question 1

Determine whether the lines are parallel, perpendicular, or neither.
-y = -3x - 2 y = 3x

Accepted Answer

A) parallel 
B) perpendicular 
C) neither 
A) parallel 
B) perpendicular 
C) neither

Question 2

Evaluate the function.
-Find f(-9)when f(x)= 4x + 6

Accepted Answer

A) -29 
B) -30 
C) -42 
D) -90 
A) -29 
B) -30 
C) -42 
D) -90

Question 3

Graph the linear equation.
-x + 9y = -8

Accepted Answer

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

Question 4

Write a direct variation equation, y = kx, that satisfies the ordered pairs in the table.
-$\begin{array} { c | c | c | c | c } 
\mathrm { x } & - 5 & 3 & 6 & 12 \
\hline \mathrm { y } & \frac { 5 } { 4 } & - \frac { 3 } { 4 } & - \frac { 3 } { 2 } & - 3
\end{array}$

Accepted Answer

A)  $y = - \frac { 1 } { 4 } x$ 
B) y = -4x 
C)  $y = \frac { 1 } { 2 } x$ 
D) y = 2x 
A)  $y = - \frac { 1 } { 4 } x$ 
B) y = -4x 
C)  $y = \frac { 1 } { 2 } x$ 
D) y = 2x

Question 5

Use two points on the graph to find the slope of the line.
-

Accepted Answer

A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 2 }$ 
C) 2 
D) -2 
A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 2 }$ 
C) 2 
D) -2

Question 6

Determine the coordinates of the indicated point on the graph.  
-J

Accepted Answer

A) (0, -3) 
B) (0, 3) 
C) (3, 0) 
D) (-3, 0) 
A) (0, -3) 
B) (0, 3) 
C) (3, 0) 
D) (-3, 0)

Question 7

Complete the ordered pairs so that they are solutions of the given linear equation.
-2x + y = -1 ( , 5), ( , 1),( , -1)

Accepted Answer

A) (-3, -3), (-1, 1), (0, -1) 
B) (-3, 5), (-1, 1),(0, -1) 
C) (-3, 5), (-1, -1), (0, -1) 
D) (-3, 5), (-1, -1), (0, 1) 
A) (-3, -3), (-1, 1), (0, -1) 
B) (-3, 5), (-1, 1),(0, -1) 
C) (-3, 5), (-1, -1), (0, -1) 
D) (-3, 5), (-1, -1), (0, 1)

Question 8

Graph the inequality.
-$$x + y \leq 7$$

Accepted Answer

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

Question 9

Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C.
-$\left( 1 , \frac { 9 } { 14 } \right) \text { and } \left( 7 , \frac { 3 } { 2 } \right)$

Accepted Answer

A)  $\frac { 1 } { 7 } x - y = \frac { 1 } { 2 }$ 
B)  $x - \frac { 1 } { 7 } y = \frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 7 } x - y = - \frac { 1 } { 2 }$ 
D)  $x - \frac { 1 } { 7 } y = - \frac { 1 } { 2 }$ 
A)  $\frac { 1 } { 7 } x - y = \frac { 1 } { 2 }$ 
B)  $x - \frac { 1 } { 7 } y = \frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 7 } x - y = - \frac { 1 } { 2 }$ 
D)  $x - \frac { 1 } { 7 } y = - \frac { 1 } { 2 }$

Question 10

Find the slope of the line that passes through the points.
-(3, 0), (0, 2)

Accepted Answer

A) - $- \frac { 2 } { 3 }$ 
B)  $- \frac { 3 } { 2 }$ 
C)  $\frac { 3 } { 2 }$ 
D)  $\frac { 2 } { 3 }$ 
A) - $- \frac { 2 } { 3 }$ 
B)  $- \frac { 3 } { 2 }$ 
C)  $\frac { 3 } { 2 }$ 
D)  $\frac { 2 } { 3 }$

Question 11

Solve.
-The approach ramp used by a daredevil motorcyclist for flying over a collection of flaming tires has a rise of 38.5 feet for every 70 feet in horizontal distance. Find the grade of the ramp. Round to the nearest whole percent.

Accepted Answer

A) 60% 
B) 0.55% 
C) 18% 
D) 55% 
A) 60% 
B) 0.55% 
C) 18% 
D) 55%

Question 12

Solve. Assume the exercise describes a linear relationship. When writing a linear equation, write the equation in
slope-intercept form.
-In 1985, John invested $15,000 in the stock market. By 1994 his investment had grown to $16,300. If the market continues to grow at the same rate, how much will be in his account in 1996? Give your answer to the nearest
Dollar.

Accepted Answer

A) $17,600 
B) $16,300 
C) $16,589 
D) $15,290 
A) $17,600 
B) $16,300 
C) $16,589 
D) $15,290

Question 13

Solve.
-A section of roller coaster track has the dimensions shown in the diagram. Find the grade of the track, which is the slope written as a percent.

Accepted Answer

A) 7.2% 
B) 3% 
C) 41% 
D) 36% 
A) 7.2% 
B) 3% 
C) 41% 
D) 36%

Question 14

Determine whether the ordered pairs given are solutions of the linear inequality in two variables.
-x - y   $\leq$ -6: (2, 6)

Accepted Answer

A) True 
 B)False

Question 15

Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C.
-(0, 0)and (8,, $\frac { 8 } { 7 }$ )

Accepted Answer

A) 7x = 8 
B)  $\frac { 1 } { 7 } x - y = 0$ 
C)  $\frac { 1 } { 7 } x = 0$ 
D)  $x - \frac { 1 } { 7 } y = 0$ 
A) 7x = 8 
B)  $\frac { 1 } { 7 } x - y = 0$ 
C)  $\frac { 1 } { 7 } x = 0$ 
D)  $x - \frac { 1 } { 7 } y = 0$

Question 16

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the
graph to answer the question.  
-Does the graph represent a function?

Accepted Answer

A) True 
 B)False

Question 17

Find the slope of the line that passes through the points.
-(2, 1)and (-3, 1)

Accepted Answer

A) 1 
B) + 2 
C) undefined slope 
D) 0 
A) 1 
B) + 2 
C) undefined slope 
D) 0

Question 18

Determine whether the lines are parallel, perpendicular, or neither.
-f(x)= 2x - 2 g(x)= $- \frac { 1 } { 2 }$ x - 3

Accepted Answer

A) neither 
B) parallel 
C) perpendicular 
A) neither 
B) parallel 
C) perpendicular

Question 19

Fill in the blank with one of the words or phrases listed below. $\begin{array} { l l l l l l } 
\text { y-axis } & \text { x-axis } & \text { solution } & \text { linear } & \text { standard } & \text { point-slope } \
\text { x-intercept } & y \text {-intercept } & y & x & \text { slope } & \text { relation } \
\text { domain } & \text { range } & \text { direct } & \text { inverse } & \text { slope-intercept } & \text { function }
\end{array}$
-A set of all x-coordinates of a relation is called the_______ of the relation.

Accepted Answer

A) range 
B) slope 
C) domain 
D) solution 
A) range 
B) slope 
C) domain 
D) solution

Question 20

Complete the ordered pairs for the given linear equation. Then plot the points and graph the equation by connecting the
points.
-$$\begin{array} { l } 
7 \mathrm { x } + 9 \mathrm { y } = 0 \
( - 9 , \quad ) , ( 0 , \quad ) , ( 9 , \quad ) \

\end{array}$$

Accepted Answer

A)  $( - 9,8 ) , ( 0,1 ) , ( 9 , - 6 )$
  
B)  $( - 9 , - 8 ) , ( 0 , - 1 ) , ( 9,6 )$
  
C)  $( - 9 , - 7 ) , ( 0,0 ) , ( 9,7 )$
  
D)  $( - 9,7 ) , ( 0,0 ) , ( 9 , - 7 )$
  
A)  $( - 9,8 ) , ( 0,1 ) , ( 9 , - 6 )$
  
B)  $( - 9 , - 8 ) , ( 0 , - 1 ) , ( 9,6 )$
  
C)  $( - 9 , - 7 ) , ( 0,0 ) , ( 9,7 )$
  
D)  $( - 9,7 ) , ( 0,0 ) , ( 9 , - 7 )$

Determine whether the lines are parallel, perpendicular, or neither. -y = -3x - 2 y = 3x

Evaluate the function. -Find f(-9)when f(x)= 4x + 6

Graph the linear equation. -x + 9y = -8

Write a direct variation equation, y = kx, that satisfies the ordered pairs in the table. - -5 3 6 12 - - -3

Use two points on the graph to find the slope of the line. -

Determine the coordinates of the indicated point on the graph. -J

Complete the ordered pairs so that they are solutions of the given linear equation. -2x + y = -1 ( , 5), ( , 1),( , -1)

Graph the inequality. - $x + y \leq 7$ $Graph the inequality. - x + y \leq 7$

Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C. - $\left( 1 , \frac { 9 } { 14 } \right) \text { and } \left( 7 , \frac { 3 } { 2 } \right)$

Find the slope of the line that passes through the points. -(3, 0), (0, 2)

Solve. -The approach ramp used by a daredevil motorcyclist for flying over a collection of flaming tires has a rise of 38.5 feet for every 70 feet in horizontal distance. Find the grade of the ramp. Round to the nearest whole percent.

Solve. -A section of roller coaster track has the dimensions shown in the diagram. Find the grade of the track, which is the slope written as a percent.

Determine whether the ordered pairs given are solutions of the linear inequality in two variables. -x - y $\leq$ -6: (2, 6)

Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C. -(0, 0)and (8,, $\frac { 8 } { 7 }$ )

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -Does the graph represent a function?

Find the slope of the line that passes through the points. -(2, 1)and (-3, 1)

Determine whether the lines are parallel, perpendicular, or neither. -f(x)= 2x - 2 g(x)= $- \frac { 1 } { 2 }$ x - 3

Fill in the blank with one of the words or phrases listed below. y-axis x-axis solution linear standard point-slope x-intercept y -intercept y x slope relation domain range direct inverse slope-intercept function -A set of all x-coordinates of a relation is called the_______ of the relation.

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Exam 10: Graphing Equations and Inequalities