Deck 3: Graphs and Functions

Question 1

Plot the ordered pair on a rectangular coordinate system.
$\left( 4 \frac { 1 } { 2 } , - \frac { 1 } { 2 } \right)$

A)
B)
C)
D)

Answer 1

B

Question 2

Plot the ordered pair on a rectangular coordinate system.

A)

B)

C)

D)

Answer 2

Question 3

(5, 20)

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

Answer 3

Quadrant I

Question 4

Plot the ordered pair on a rectangular coordinate system.
$( - 5,0 )$

A)
B)
C)
D)

Question 5

(-13, 14)

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

Question 6

Plot the ordered pair on a rectangular coordinate system.
$\left( - 6 \frac { 1 } { 2 } , - 5 \frac { 1 } { 2 } \right)$

A)
B)
C)
D)

Question 7

Plot the ordered pair on a rectangular coordinate system.
$\left( - \frac { 1 } { 2 } , 0 \right)$

A)
B)
C)
D)

Question 8

Plot the ordered pair on a rectangular coordinate system.

A)
B)
C)
D)

Question 9

Plot the ordered pair on a rectangular coordinate system.
$$( 4,5 )$$

A)
B)
C)
D)

Question 10

(0, 6)

A) Quadrant I
B) Quadrant II
C) x-axis
D) y-axis

Question 11

(4, 0)

A) Quadrant I
B) Quadrant II
C) x-axis
D) y-axis

Question 12

Plot the ordered pair on a rectangular coordinate system.

A)
B)
C)
D)

Question 13

Plot the ordered pair on a rectangular coordinate system.
$\left( 0 , - 3 \frac { 1 } { 2 } \right)$

A)
B)
C)
D)

Question 14

(14, -14)

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

Question 15

(-2, -15)

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

Question 16

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
The table shows the average hourly wage for non-managerial office workers in a town in Indiana (in dollars) for the years shown. Write each paired data as an ordered pair of the form (year, wage). Then create a scatter diagram of the ordered pairs.
$\begin{array} { | c | c | } \hline & \begin{array} { l } \text { Average Hourly } \\\text { Year }\end{array} \\\hline 1994 & 10.54 \\\hline 1995 & 11.16 \\\hline 1996 & 12.45 \\\hline 1997 & 11.94 \\\hline 1998 & 12.05 \\\hline 1999 & 13.71 \\\hline\end{array}$

Question 17

(0, -13)

A) Quadrant II
B) Quadrant III
C) x-axis
D) y-axis

Question 18

Plot the ordered pair on a rectangular coordinate system.

A)
B)
C)
D)

Question 19

Plot the ordered pair on a rectangular coordinate system.
$( 0 , - 2 )$

A)
B)
C)
D)

Question 20

(-5, 0)

A) Quadrant III
B) Quadrant IV
C) x-axis
D) y-axis

Question 21

Graph the linear equation.
$- 5 x - y = - 1$

A)
B)
C)
D)

Question 22

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
5x + 6y = 5; (0, 1)

A) Yes
B) No

Question 23

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
$7 x - 5 y = 0 ; \left( \frac { 5 } { 7 } , 1 \right)$

A) Yes
B) No

Question 24

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
x - 5y = 5; (0, 1)

A) Yes
B) No

Question 25

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
-4y + 4x = 12; (-3, 0)

A) Yes
B) No

Question 26

Graph the linear equation.

A)
B)
C)
D)

Question 27

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
y - x = 5; (2, 3)

A) Yes
B) No

Question 28

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
3x + 5y = -13; (-1, 2)

A) No
B) Yes

Question 29

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
y = -5x; (-4, 20)

A) Yes
B) No

Question 30

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
x = -y; (7, 7)

A) Yes
B) No

Question 31

Graph the linear equation.
$$8 y = x - 4$$

A)
B)
C)
D)

Question 32

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
The table shows the number of cans of soda sold at a campus stand on five days with different high
temperatures for the day. Write each paired data as an order pair of the form (temperature, cans). Then create a
scatter diagram of the ordered pairs. $$\begin{array} { | c | c | } \hline \begin{array} { c } \text { High Temperature } \\\text { (in degrees Fahrenheit) }\end{array} & \begin{array} { c } \text { Number of } \\\text { Cans Sold }\end{array} \\\hline 70 & 325 \\\hline 75 & 350 \\\hline 80 & 440 \\\hline 85 & 470 \\\hline 90 & 575 \\\hline\end{array}$$

Question 33

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
$x = \frac { 1 } { 8 } y ; ( 0,0 ) , ( 6,48 )$

A) Yes; No
B) No; Yes
C) No; No
D) Yes; Yes

Question 34

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
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.. $$\begin{array} { | c | c | } \hline \begin{array} { c } \text { Diameter of Cookie } \\\text { (inches) }\end{array} & \text { Number Sold } \\\hline 1 & 150 \\\hline 1.5 & 300 \\\hline 2 & 450 \\\hline 2.5 & 250 \\\hline 3 & 350 \\\hline\end{array}$$

Question 35

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
x = -7y; (1, -7)

A) Yes
B) No

Question 36

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
y = 4x + 2; (2, 10)

A) No
B) Yes

Question 37

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
y = 12; (12, 0)

A) Yes
B) No

Question 38

Graph the linear equation.
$$y = 5 x$$

A)
B)
C)
D)

Question 39

Graph the linear equation.
$$y = \frac { 1 } { 8 } x + 8$$

A)
B)
C)
D)

Question 40

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
x = -18y; (0, 0)

A) No
B) Yes

Question 41

Graph the linear equation.
$$x = 5$$

A)

B)

C)

D)

Question 42

Graph the linear equation.
$$y = - 4 x + 3$$

A)

B)

C)

D)

Question 43

Graph the linear equation.
$$y = - 5$$

A)

B)

C)

D)

Question 44

Find the slope of the line containing the pair of points.
$( 5 , - 7 )$ and $( 6,11 )$

A) 18
B) $\frac { 1 } { 18 }$
C) $- 18$
D) $\frac { 4 } { 11 }$

Question 45

Find the slope of the line containing the pair of points.
$( - 2 , - 7 )$ and $( 2 , - 8 )$

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

Question 46

Graph the linear equation.
$$- 3 x + 15 y = 15$$

A)


B)


C)


D)

Question 47

Find the slope of the line containing the pair of points.
$( 9 , - 3 )$ and $( 4 , - 4 )$

A) $\frac { 1 } { 5 }$
B) $- \frac { 7 } { 13 }$
C) $- \frac { 1 } { 5 }$
D) 5

Question 48

Graph the linear equation.
$$y = \frac { 1 } { 2 } x + 5$$

A)


B)

C)

D)

Question 49

Find the slope of the line containing the pair of points.
$( 8,2 )$ and $( 7,4 )$

A) $- 2$
B) $- \frac { 1 } { 2 }$
C) 2
D) $\frac { 2 } { 5 }$

Question 50

Graph the linear equation.
$$- 4 x = y - 8$$

A)


B)


C)


D)

Question 51

Graph the linear equation.
$- x = 6 y + 3$

A)
B)
C)
D)

Question 52

Graph the linear equation.
$$- 6 x + y = 0$$

A(

B)

C)

D)

Question 53

Find the slope of the line containing the pair of points.
$( 4 , - 9 )$ and $( 2 , - 7 )$

A) $- 2$
В) $- 1$
C) 2
D) Undefined

Question 54

Graph the linear equation.
$$x = \frac { 9 } { 2 }$$

A)

B)

C)

D)

Question 55

Graph the linear equation.
$$y = \frac { 7 } { 2 }$$

A)

B)

C)

D)

Question 56

Find the slope of the line containing the pair of points.
$( - 2,6 )$ and $( 5,6 )$

A) 11
B) 1
C) 4
D) 0

Question 57

Find the slope of the line containing the pair of points.
$\left( \frac { 1 } { 2 } , - 4 \right)$ and $\left( \frac { 1 } { 2 } , 1 \right)$

A) 2
B) $- \frac { 10 } { 3 }$
$C ) - \frac { 3 } { 10 }$
D) Undefined

Question 58

Find the slope of the line containing the pair of points.
$( - 7 , - 4 )$ and $( - 6 , - 4 )$

A) $\frac { 8 } { 13 }$
B) $- 8$
C) 0
D) Undefined

Question 59

Graph the linear equation.
$$4 y + 32 x = 8$$

A)


B)


C)


D)

Question 60

Find the slope of the line containing the pair of points.
$( 1 , - 3 )$ and $\left( \frac { 1 } { 3 } , - 5 \right)$

A) 3
B) $- \frac { 1 } { 3 }$
C) 12
D) $\frac { 1 } { 3 }$

Question 61

Match the equation with its graph.
$$y = - 5 x$$

A)

B)

C)

D)

Question 62

Match the equation with its graph.
$$y = - 4 x + 6$$

A)

B)

C)

D)

Question 63

Match the equation with its graph.
$$y = - 2 x - 3$$

A)

B)

C)

D)

Question 64

Solve the problem.
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.
$11.7$ meters

A) $3 \%$
B) $44 \%$
C) $11.7 \%$
D) $39 \%$

Question 65

Solve the problem.
A tent has the dimensions shown in feet. Find $\mathrm { d }$ so that the pitch of the left side of the roof is $\frac { 3 } { 2 }$ .

A) $1 \frac { 1 } { 2 } \mathrm { ft }$
B) $\frac { 1 } { 2 } \mathrm { ft }$
C) $3 \mathrm { ft }$
D) $2 \mathrm { ft }$

Question 66

Solve the problem.
The approach ramp used by a daredevil motorcyclist for flying over a collection of flaming tires has a rise of 40 feet for every 80 feet in horizontal distance. Find the grade of the ramp, which is the slope written as a percent. Round to the nearest whole percent.

A) $55 \%$
B) $20 \%$
C) $50 \%$
D) $0.5 \%$

Question 67

Find the slope and the y-intercept of the line.
$$x + y = - 12$$

A) $\mathrm { m } = 0 ; ( 0 , - 12 )$
B) $\mathrm { m } = 1 ; ( 0 , - 12 )$
C) $\mathrm { m } = - 1 ; ( 0,12 )$
D) $\mathrm { m } = - 1 ; ( 0 , - 12 )$

Question 68

Solve the problem.
A tent has the dimensions shown in feet. Find the pitch (slope) of the left side of the roof.

A) $1 \mathrm { ft }$
B) $\frac { 5 } { 4 } \mathrm { ft }$
C) $- \frac { 5 } { 4 } \mathrm { ft }$
D) $\frac { 4 } { 5 } \mathrm { ft }$

Question 69

Find the slope of the line.
$$- 2 y = 3 x + 14$$

A) $- \frac { 3 } { 2 }$
B) $\frac { 3 } { 2 }$
C) $\frac { 2 } { 3 }$
D) $- 7$

Question 70

Find the slope of the line.
$$5 x + 3 y = 14$$

A) $\frac { 5 } { 3 }$
B) $\frac { 3 } { 5 }$
C) $\frac { 14 } { 3 }$
D) $- \frac { 5 } { 3 }$

Question 71

Find the slope of the line.
$$- 2 y + 5 x = 33$$

A) $- \frac { 2 } { 5 }$
B) $\frac { 5 } { 2 }$
C) $- \frac { 33 } { 2 }$
D) $- \frac { 5 } { 2 }$

Question 72

Find the slope of the line.
$$y = - 3 x$$

A) $- 3$
B) 3
C) 0
D) $- \frac { 1 } { 3 }$

Question 73

Find the slope and the y-intercept of the line.
$$y = - 9$$

A) $\mathrm { m } = 1 ; ( 0 , - 9 )$
B) $\mathrm { m } = 0 ; ( 0 , - 9 )$
C) $\mathrm { m } = 0$ ; no $\mathrm { y }$ -intercept
D) $\mathrm { m } = - 9 ; ( 0,0 )$

Question 74

Find the slope of the line containing the pair of points.
$( 6.8 , - 6.8 )$ and $( 0 , - 1.7 )$

A) $- \frac { 5 } { 4 }$
B) $- \frac { 3 } { 4 }$
C) 8
D) Undefined

Question 75

Find the slope and the y-intercept of the line.
$$12 x + y = 3$$

A) $\mathrm { m } = 12 ; ( 0,3 )$
B) $m = - 12 ; ( 0,3 )$
$\mathrm { C } ) \mathrm { m } = - \frac { 1 } { 12 } ; \left( 0 , \frac { 1 } { 4 } \right)$
D) $\mathrm { m } = 4 ; \left( 0 , \frac { 1 } { 3 } \right)$

Question 76

Match the equation with its graph.
$$y = 2 x + 3$$

A)

B)

C)

D)

Question 77

Find the slope of the line.
$$y = 4 x + 2$$

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

Question 78

Find the slope of the line.
$$y = - \frac { 5 } { 3 } x - 7$$

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

Question 79

Find the slope of the line.
$$4 y - 2 x = - 16$$

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

Question 80

Find the slope and the y-intercept of the line.
$$y = - \frac { 8 } { 3 } x - \frac { 9 } { 2 }$$

A) $\mathrm { m } = \frac { 8 } { 3 } ; \left( 0 , \frac { 9 } { 2 } \right)$
B) $\mathrm { m } = - \frac { 9 } { 2 } ; \left( 0 , - \frac { 8 } { 3 } \right)$
C) $\mathrm { m } = - \frac { 8 } { 3 } ; \left( 0 , - \frac { 9 } { 2 } \right)$
D) $\mathrm { m } = - \frac { 3 } { 8 } ; \left( 0 , \frac { 9 } { 2 } \right)$