Question 1

Find the equation of the line. Write the equation in the form Ax + By = C.
-SlopeSlope $- \frac { 6 } { 7 }$ ; passes through (4, 4)

Accepted Answer

A) 6x + 7y = 52 
B) 6x + 7y = -52 
C) 7x + 6y = -52 
D) 6x - 7y = 52 
A) 6x + 7y = 52 
B) 6x + 7y = -52 
C) 7x + 6y = -52 
D) 6x - 7y = 52 A

Question 2

Graph the linear equation.
-y = -4

Accepted Answer

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

Question 3

Graph the linear equation.
-x = 3

Accepted Answer

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

Question 4

Solve.
-The table shows the number of cookies sold at a bake sale according to their diameter in inches. Write the ordered pair
data as an ordered pair of the form (diameter, number sold). Then create a scatter diagram of the ordered pairs.. $$\begin{array}{l}
\text { Cookies Sold According to Diameter }\
\begin{array} { | c | c | } 
\hline \begin{array} { c } 
\text { Diameter of Cookie } \
\text { (inches) }
\end{array} & \text { Number Sold } \
\hline 1 & 150 \
\hline 1.5 & 300 \
\hline 2 & 450 \
\hline 2.5 & 250 \
\hline 3 & 350 \
\hline
\end{array}
\end{array}$$

Accepted Answer

The answer of Solve.
-The table shows the number of cookies...

Question 5

Decide whether the relation defines a function.
-{(1, 1), (1, -9), (6, -7), (8, -4), (12, 5)}

Accepted Answer

A) Not a function 
B) Function 
A) Not a function 
B) Function

Question 6

Find the slope of the line and write the slope as a rate of change. Don't forget to attach the proper units.
-The graph shows the total cost y (in dollars)of owning and operating a mini-van where x is the number of miles driven.

Accepted Answer

A) $0.43 per mile 
B) cannot be determined 
C) $2.33 per mile 
D) $20.00 per mile 
A) $0.43 per mile 
B) cannot be determined 
C) $2.33 per mile 
D) $20.00 per mile

Question 7

Decide whether the relation defines a function.
-{(-1, 1), (1, -8), (6, -7), (7, -7), (10, 3)}

Accepted Answer

A) Function 
B) Not a function 
A) Function 
B) Not a function

Question 8

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form
Ax + By = C.
-m = -9; (-4, -7)

Accepted Answer

A) 9x + y = -43 
B) 9x + y = -67 
C) 9x + y = 43 
D) 9x + y = -7 
A) 9x + y = -43 
B) 9x + y = -67 
C) 9x + y = 43 
D) 9x + y = -7

Question 9

Solve. Assume the exercise describes a linear relationship. When writing a linear equation, write the equation in
slope-intercept form.
-A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 5 seconds, the gauge on the bottle indicates that it contains 25 ounces of water. After it has been filling for 12 Seconds, the gauge indicates the bottle contains 53 ounces of water. Let y be the amount of water in the bottle x Seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in
Terms of x.

Accepted Answer

A) y = 4x + 41 
B) y = 4x + 5 
C)  $y = \frac { 1 } { 4 } x + \frac { 95 } { 4 }$ 
D) y = -4x + 45 
A) y = 4x + 41 
B) y = 4x + 5 
C)  $y = \frac { 1 } { 4 } x + \frac { 95 } { 4 }$ 
D) y = -4x + 45

Question 10

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

Accepted Answer

A) -2 
B) -1 
C) 2 
D) 1 
A) -2 
B) -1 
C) 2 
D) 1

Question 11

Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C.
-(0, -7)and (-5, 1)

Accepted Answer

A) -8x + 5y = -35 
B) 7x - 6y = 29 
C) 8x + 5y = -35 
D) -7x + 6y = 29 
A) -8x + 5y = -35 
B) 7x - 6y = 29 
C) 8x + 5y = -35 
D) -7x + 6y = 29

Question 12

Fill in the blank with one of the words or phrases listed below. $\begin{array} { l l l l l l } 
\text { y-axis } & \text { x-axis } & \text { solution } & \text { linear } & \text { standard } & \text { point-slope } \
\text { x-intercept } & y \text {-intercept } & y & x & \text { slope } & \text { relation } \
\text { domain } & \text { range } & \text { direct } & \text { inverse } & \text { slope-intercept } & \text { function }
\end{array}$
-An ordered pair is a(n)_______of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.

Accepted Answer

A) relation 
B) slope 
C) function 
D) solution 
A) relation 
B) slope 
C) function 
D) solution

Question 13

Solve.
-An inclined walkway leading to a new building is to rise 8 inches for each horizontal distance of 12 feet. Write this slope as a grade. (Round to the nearest tenth of a percent if necessary.)

Accepted Answer

A) 150.0% 
B) 1800.0% 
C) 5.6% 
D) 66.7% 
A) 150.0% 
B) 1800.0% 
C) 5.6% 
D) 66.7%

Question 14

Write an inverse variation equationn, y $y = \frac { k } { x }$ ,, that satisfies the ordered pairs in the table.
-$$\begin{array} { c | c | c | c | c } 
\mathrm { x } & 2 & - 7 & \frac { 7 } { 2 } & - 4 \
\hline \mathrm { y } & 7 & - 2 & 4 & - \frac { 7 } { 2 }
\end{array}$$

Accepted Answer

A)  $x = \frac { 14 } { y }$ 
B)  $x = \frac { - 14 } { y }$ 
C)  $y = \frac { 14 } { x }$ 
D)  $y = \frac { - 14 } { x }$ 
A)  $x = \frac { 14 } { y }$ 
B)  $x = \frac { - 14 } { y }$ 
C)  $y = \frac { 14 } { x }$ 
D)  $y = \frac { - 14 } { x }$

Question 15

Solve. Assume the exercise describes a linear relationship. When writing a linear equation, write the equation in
slope-intercept form.
-The average value of a certain type of automobile was $15,600 in 1993 and depreciated to $5640 in 1997. Let y be the average value of the automobile in the year x, where x = 0 represents 1993. Write a linear equation that
Models the value of the automobile in terms of the year x.

Accepted Answer

A) y = -2490x + 5640 
B) y = $- \frac { 1 } { 2490 }$ x x- 5640 
C) y = -2490x + 15,600 
D) y = -2490x - 4320 
A) y = -2490x + 5640 
B) y = $- \frac { 1 } { 2490 }$ x x- 5640 
C) y = -2490x + 15,600 
D) y = -2490x - 4320

Question 16

Evaluate the function.
-Find f(1)when f(x)= x2 + 2x - 1.

Accepted Answer

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

Question 17

Identify the intercepts.
-

Accepted Answer

A) (-2, 0), (0, -8) 
B) (2, 0), (0, 8) 
C) (-2, -2), (8, 8) 
D) (-2, 0), (0, 8) 
A) (-2, 0), (0, -8) 
B) (2, 0), (0, 8) 
C) (-2, -2), (8, 8) 
D) (-2, 0), (0, 8)

Question 18

Graph the linear equation.
-$$x - y = 1$$

Accepted Answer

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

Question 19

Name the quadrant or axis in which the point lies.
-(2, 8)

Accepted Answer

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

Question 20

Evaluate the function.
-Find f(4)when)when f(x) $f ( x ) = 9 x ^ { 3 }$

Accepted Answer

A) 144 
B) 576 
C) 108 
D) 64 
A) 144 
B) 576 
C) 108 
D) 64

Find the equation of the line. Write the equation in the form Ax + By = C. -SlopeSlope $- \frac { 6 } { 7 }$ ; passes through (4, 4)

Graph the linear equation. -y = -4

Graph the linear equation. -x = 3

Decide whether the relation defines a function. -{(1, 1), (1, -9), (6, -7), (8, -4), (12, 5)}

Find the slope of the line and write the slope as a rate of change. Don't forget to attach the proper units. -The graph shows the total cost y (in dollars)of owning and operating a mini-van where x is the number of miles driven.

Decide whether the relation defines a function. -{(-1, 1), (1, -8), (6, -7), (7, -7), (10, 3)}

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C. -m = -9; (-4, -7)

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

Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C. -(0, -7)and (-5, 1)

Solve. -An inclined walkway leading to a new building is to rise 8 inches for each horizontal distance of 12 feet. Write this slope as a grade. (Round to the nearest tenth of a percent if necessary.)

Write an inverse variation equationn, y $y = \frac { k } { x }$ ,, that satisfies the ordered pairs in the table. - 2 -7 -4 7 -2 4 -

Evaluate the function. -Find f(1)when f(x)= x2 + 2x - 1.

Identify the intercepts. -

Graph the linear equation. - $x - y = 1$

Name the quadrant or axis in which the point lies. -(2, 8)

Evaluate the function. -Find f(4)when)when f(x) $f ( x ) = 9 x ^ { 3 }$

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Exam 10: Graphing Equations and Inequalities

Find the equation of the line. Write the equation in the form Ax + By = C. -SlopeSlope −67- \frac { 6 } { 7 }−76​ ; passes through (4, 4)