Deck 3: Graphing and Functions

Question 1

Consider the points plotted in the graph below.

Give the coordinates for point B.

A)(4, -3)
B)(-5, 4)
C)(3, 4)
D)(-3, 4)

Answer 1

D

Question 2

Consider the points plotted in the graph below.

Give the coordinates for points G and H.

A)G: (0, -3), H: (-2, -2)
B)G: (-3, 0), H: (-2, -2)
C)G: (-3, 0), H: (-2, 2)
D)G: (0, -3), H: (-2, 2)

Answer 2

B

Question 3

Consider the points plotted in the graph below.

Give the coordinates for points C and D.

A)C: (2, 0), D: (5, 3)
B)C: (2, 0), D: (3, 5)
C)C: (0, 2), D: (5, 3)
D)C: (0, 2), D: (3, 5)

Answer 3

D

Question 4

Consider the points plotted in the graph below.

Give the coordinates for points I and J.

A)I: (5, 4), J: (0, -3)
B)I: (-4, -5), J: (-3, 0)
C)I: (5, 4), J: (-3, 0)
D)I: (-5, -4), J: (0, -3)

Question 5

Consider the points plotted in the graph below.

Give the c oordinates for p oint M. A) $\left( 1 \frac { 1 } { 2 } , 5 \right)$
B) $\left( 5 , \frac { 1 } { 2 } \right)$
C) $\left[ 5,1 \frac { 1 } { 2 } \right)$
D) $\left( \frac { 1 } { 2 } , 5 \right)$

Question 6

Consider the points plotted in the graph below.

Give the coordinates for points E and F.

A)E: (4, 3), F: (0, 2)
B)E: (4, 3), F: (2, 0)
C)E: (3, 4), F: (2, 0)
D)E: (3, 4), F: (0, 2)

Question 7

Plot the point
(2, -1) A)
B)
C)
D)

Question 8

Plot the point
(-1.5, -3)

A)
B)
C)
D)

Question 9

Consider the points plotted in the graph below.

Give the coordinates for point K.

A)(3, -4)
B)(4, 3)
C)(3, 4)
D)(-4, 3)

Question 10

Plot the point
(-1, -3)

A)
B) C)
D)

Question 11

Plot the point
(0, -2)

A)
B)
C)
D) 4

Question 12

Consider the points plotted in the graph below.

Give the coordinates for point A.

A)(-5, 4)
B)(4, 5)
C)(5, 4)
D)(4, -5)

Question 13

Plot the point
(-4, 1)

A)
B)
C )
D)

Question 14

Plot the point
(0, -4.5)

A)
B) C)
D)

Question 15

Consider the points plotted in the graph below.

Give the coordinates for point $\mathrm { L }$ .

A) $\left( - 2 , - 4 \frac { 1 } { 2 } \right)$
B) $\left( - 2,4 \frac { 1 } { 2 } \right)$
C) $\left( - 4 \frac { 1 } { 2 } , - 2 \right)$
D) $\left( 4 \frac { 1 } { 2 } , - 2 \right)$

Question 16

Plot the point
(-2.5, 0) A)
B)
C)
D)

Question 17

Plot the point
(3, 6)

A)
B)
C)
D)

Question 18

Choose the one alternative that best completes the statement or answers the question.
Solve for y.
$$y - 4 = - \frac { 3 } { 4 } x$$

A) $y = - \frac { 3 } { 4 } x + 4$
B) $y = - \frac { 3 } { 4 } x - 4$
C) $y = \frac { 3 } { 4 } x + 4$
D) $y = \frac { 3 } { 4 } x - 4$

Question 19

Plot the point
(-2.5, 1.5)

A)
B)
C)
D) 8

Question 20

Plot the point
(3, 0)

A)
B)
C)
D)

Question 21

The map below has horizontal and vertical grid markers for ease of use. For example, Newport is located in grid A4. Use
the grid labels to indicate the location of the given city.

Springfield A) $B 2$
B) A2
C) $\mathrm { A } 1$
D) $\mathrm { B } 1$

Question 22

Complete the ordered pairs so that each is a solution of the linear equation. Then plot each solution and graph the
equation by connecting the points by a straight line.
$$\begin{array} { l } y = - 4 x - 2 \\( 0 , \quad ) \\( 1 , ) \\( - 1 , )\end{array}$$

A) $( 0 , - 2 )$
$( 1 , - 6 )$
$( - 1$ ,

B) $( 0,0 )$
$( 1,2 )$
$( - 1 , - 2 )$

C) $( 0,2 )$
$( 1 , - 2 )$
$( - 1,6 )$

D) $( 0 , - 2 )$
$( 1$ ,
$( - 1 , - 6 )$

16

Question 23

The map below has horizontal and vertical grid markers for ease of use. For example, Newport is located in grid A4. Use
the grid labels to indicate the location of the given city.

Borland A) D5
В) $\mathrm { F5 }$
C) $\mathrm { E } 5$
D) EA

Question 24

Find the missing coordinate to complete the ordered pair.
$y = 3 x - 1 \quad ( - 3 , \quad )$

A) $( - 3 , - 9 )$
В) $( - 3 , - 10 )$
C) $( - 3,8 )$
D) $( - 3 , - 8 )$

Question 25

The map below has horizontal and vertical grid markers for ease of use. For example, Newport is located in grid A4. Use
the grid labels to indicate the location of the given city.

Regal A) $G 5$
В) $\mathrm { F } 6$
(c) G6
D) $\mathrm { F5 }$

Question 26

Find the missing coordinate to complete the ordered pair.
$y = - x \quad ( 10 , \quad )$

A) $( 10,0 )$
В) $( 10,10 )$
C) $( 10 , - 10 )$
D) $( - 10 , \quad )$

Question 27

The map below has horizontal and vertical grid markers for ease of use. For example, Newport is located in grid A4. Use
the grid labels to indicate the location of the given city.

Boulder A) G3
B) D7
C) 44
D) $\mathrm { F } 3$

Question 28

Find the missing coordinate to complete the ordered pair.
$2 x + y = 8 \quad ( , - 2 )$

A) $( 0 , - 2 )$
B) $( - 2,0 )$
C) $( - 2,5 )$
D) $( , - 2 )$

Question 29

Find the missing coordinate to complete the ordered pair.
$8 x + y = - 63 \quad ( 0 , \quad )$

A) $( 0 , - 71 )$
B) $( 0 , - 81 )$
C) $( 0 , - 63 )$
D) $( 0,0 )$

Question 30

The map below has horizontal and vertical grid markers for ease of use. For example, Newport is located in grid A4. Use
the grid labels to indicate the location of the given city.

Capitol City A) F2
B) E1
C) $\mathrm { F } 1$
D) E2

Question 31

Choose the one alternative that best completes the statement or answers the question.
Solve for y.
$$4 x + 3 y = 6$$

A) $y = \frac { 4 } { 3 } x + 2$
B) $y = - \frac { 4 } { 3 } x + 2$
C) $y = \frac { 4 } { 3 } x - 2$
D) $y = - \frac { 4 } { 3 } x - 2$

Question 32

Find the missing coordinate to complete the ordered pair.
$$y = - x + 5 \quad ( 9 , \quad )$$

A) $($ , )
B) $( , - 4 )$
C) $( , - 7 )$
D) $( , \quad )$

Question 33

Choose the one alternative that best completes the statement or answers the question.
Solve for y.
$$8 x + y = 5$$

A) $y = 8 x - 5$
B) $y = - 8 x + 5$
C) $y = 8 x + 5$
D) $y = - 8 x - 5$

Question 34

The map below has horizontal and vertical grid markers for ease of use. For example, Newport is located in grid A4. Use
the grid labels to indicate the location of the given city.

Bay Village A) B5
B) C6
C) C5
D) $\mathrm { C } 4$

Question 35

Find the missing coordinate to complete the ordered pair.
$$8 x + \frac { 8 } { 9 } y = 23 \quad ( \quad , 36 )$$

A) $( - 9,36 )$
B) $\left( - \frac { 9 } { 8 } , 36 \right)$
C) $\left( - \frac { 2385 } { 2 } , 36 \right)$
D) $\left( \frac { 55 } { 8 } , 36 \right)$

Question 36

The map below has horizontal and vertical grid markers for ease of use. For example, Newport is located in grid A4. Use
the grid labels to indicate the location of the given city.

Newtown A) F5
B) E6
C) G4
D) $B 4$

Question 37

The map below has horizontal and vertical grid markers for ease of use. For example, Newport is located in grid A4. Use
the grid labels to indicate the location of the given city.

Rock City A) $\mathrm { F } 1$
B) $\mathrm { A } 6$
C) $\mathrm { G } 1$
D) $\mathrm { B } 6$

Question 38

The map below has horizontal and vertical grid markers for ease of use. For example, Newport is located in grid A4. Use
the grid labels to indicate the location of the given city.

Bayport A) $\mathrm { B } 6$
B) B5
C) $\mathrm { C } 5$
D) $\mathrm { C } 6$

Question 39

Find the missing coordinate to complete the ordered pair.
$12 x+8 y=12$

A) $\left( \frac { 1 } { 2 } , \frac { 9 } { 4 } \right)$
B) $\left( \frac { 1 } { 2 } , 6 \right)$
C) $\left( \frac { 1 } { 2 } , \frac { 2 } { 3 } \right)$
D) $\left( \frac { 1 } { 2 } , \frac { 3 } { 4 } \right)$

Question 40

Find the missing coordinate to complete the ordered pair.
$5 x + y = - 17 \quad ( \quad , 8 )$

A) $( - 5 , - 8 )$
В) $( - 5,8 )$
C) $( 5,8 )$
D) $( 8,8 )$

Question 41

Complete the ordered pairs so that each is a solution of the linear equation. Then plot each solution and graph the
equation by connecting the points by a straight line.
$\begin{array}{l}y=3 x+2 \\(0,) \\(1,) \\(-1,)\end{array}$
A) $( 0 , - 2 )$
$( 1,1 )$
$( - 1 , - 5 )$

B) $( 0$ ,
$( 1 , \quad )$
$( - 1 , - 1 )$

C) $( 0,0 )$
$( 1$ ,
$( - 1 , - 2 )$

D) $( 0 , \quad )$
$( 1 , - 1 )$
$( - 1 , \quad )$

Question 42

Graph the equation by plotting three points and connecting them.
$$4 x + 9 y = 0$$
A)
B)
C)
D)

Question 43

Solve.
As part of a charity bike-a-thon, friends have pledged Randall certain amounts of money per each mile that he bikes. To estimate how much money he will earn for the charity, he uses the formula A = 5.90m, where A is the
Amount in dollars of pledges earned and m is the number of miles Randall rides. Graph the equation for m = 0,
20, 40, and 60. A)
B)
C)
D)

Question 44

Complete the ordered pairs so that each is a solution of the linear equation. Then plot each solution and graph the
equation by connecting the points by a straight line.
$$y=x+5$$
$(2,$ ,
$(-4,$ ,
$(0,$ ,

A) $( 2 , - 7 )$
$( - 4 , - 1 )$
$( 0 , - 5 )$

B) $( 2,3 )$
$( - 4,9 )$
$( 0,5 )$
C) $( 2,7 )$
$( - 4,1 )$
$( 0,5 )$

D) $( 2 , - 3 )$
$( - 4 , - 9 )$
$( 0 , - 5 )$

Question 45

Graph the equation.
$-4 y-2=34$
A)
B)
C)
D)

Question 46

Complete the ordered pairs so that each is a solution of the linear equation. Then plot each solution and graph the
equation by connecting the points by a straight line.
$\begin{array}{l}2 x+3 y=0 \\(-3,) \\(0,) \\(3,)\end{array}$
A)

B) $( - 3 , - 3 )$
$( 0 , - 1 )$
$( 3,1 )$

C) $( - 3 , - 2 )$
$( 0,0 )$
$( 3,2 )$

D) $( - 3,2 )$
$( 0,0 )$
$( 3,2 )$

Question 47

Graph the equation.
$2 x-5=3 x$
A)
B)
C)
D)

Question 48

Find the slope of a straight line that passes through the given pair of points.
(1, 2)and (3, 5) A) $\frac { 3 } { 2 }$
B) $\frac { 7 } { 4 }$
C) $\frac { 2 } { 3 }$
D) $- \frac { 3 } { 2 }$

Question 49

Graph the equation.
$-7 y-8=-6 y$

A)
B)
C)
D)

Question 50

Graph the equation by plotting the intercepts.
$6 = 2 y$
A)
B)
C)
D)

Question 51

Graph the equation by plotting the intercepts.
$$y = 2 x - 4$$
A)
B)
C)
D)

Question 52

Graph the equation by plotting the intercepts.
$$3 x - 15 y = 15$$
A)
B)
C)
D)

Question 53

Graph the equation by plotting three points and connecting them.
$$y = x - 3$$
A)
B)
C)
D)

Question 54

Find the slope of a straight line that passes through the given pair of points.
$( - 9,19 )$ and $( 6 , - 4 )$

A) $- 5$
B) $- \frac { 23 } { 15 }$
C) ــــــــــــ
D) $- \frac { 15 } { 23 }$

Question 55

Graph the equation by plotting the intercepts.
$$y = - \frac { 1 } { 3 } x + 2$$
A)
B)
C)1
D)1ecb32e_817c_09ea_a9b7_7156727a66cc_TB6914_00

Question 56

Graph the equation by plotting three points and connecting them.
$y=3 x+4$
A)
B)
C)
D)

Question 57

Find the slope of a straight line that passes through the given pair of points.
$( 6,8 )$ and $( - 3,7 )$

A) $- \frac { 1 } { 9 }$
B) 9
C)
D) $\frac { 1 } { 9 }$

Question 58

Graph the equation by plotting three points and connecting them.
$$y = - 4 x - 2$$
A)
B)
C)
D)

Question 59

Graph the equation.
$4 x+2=-22$
A)
B)
C)
D)

Question 60

Graph the equation.
2y = 16 A)
B)
C)
D)

Question 61

Graph the equation by plotting the intercepts.
$$y = \frac { 1 } { 2 } x + 4$$
A)
B)
C)
D)

Question 62

Solve.
The population of an endangered species living in a controlled habitat is given by the equation P = 7t + 49, where P is the population and t is the time in months since the population was moved to the habitat. Graph the
Equation for t = 0, 6, 12, and 18. A)
B)
C)
D)

Question 63

Graph the equation by plotting the intercepts.
$$- 3 x - 6 y = 18$$
A)
B)
C)
D)

Question 64

Find the slope and the y-intercept
$$- x + 12 y = 60$$

A) $\mathrm { m } = - 1 ; ( 0,60 )$
B) $\mathrm { m } = \frac { 1 } { 12 } ; ( 0,5 )$
$\mathrm { C } ) \mathrm { m } = - \frac { 1 } { 12 } ; ( 0,5 )$
D) $\mathrm { m } = 12 ; ( 0 , - 60 )$

Question 65

Write the equation of the line in slope-intercept form.
$m = - \frac { 6 } { 5 } , y$ -intercept $\left( 0 , \frac { 38 } { 5 } \right)$

A) $y = - \frac { 6 } { 5 } x + \frac { 38 } { 5 }$
B) $y = \frac { 6 } { 5 } x + \frac { 38 } { 5 }$
C) $y = \frac { 6 } { 5 } x - \frac { 38 } { 5 }$
D) $y = - \frac { 6 } { 5 } x - \frac { 38 } { 5 }$

Question 66

Find the slope and the y-intercept
y = 9x + 3 A) $\mathrm { m } = 9 ; ( 0,3 )$
B) $\mathrm { m } = \frac { 1 } { 9 } ; ( 0,3 )$
C) $\mathrm { m } = - 9 ; ( 0 , - 3 )$
D) $m = 3 ; ( 0,9 )$

Question 67

Write the equation of the line in slope-intercept form.
$$m = \frac { 3 } { 2 } , y \text {-intercept } ( 0,1 )$$

A) $y = - \frac { 3 } { 2 } x - 1$
B) $y = \frac { 3 } { 2 } x + 1$
C) $y = \frac { 3 } { 2 } x - 1$
D) $y = - \frac { 3 } { 2 } x + 1$

Question 68

Graph the line y = mx + b for the given values.
$$m = \frac { 1 } { 2 } , b = - 3$$

A)
B)
C)
D)

Question 69

Find the slope and the y-intercept
$$y = 7 x$$

A) $\mathrm { m } = 0 ; ( 0$ , )
B) $\mathrm { m } = - 7 ; ( 0,0 )$
C) $\mathrm { m } = ; ( 0,0 )$
D) $\mathrm { m } = 0 ; ( 0 , - 7 )$

Question 70

Find the slope of a straight line that passes through the given pair of points.
(4, -2)and (3, 9)

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

Question 71

Write the equation of the line in slope-intercept form.
$m = 3 , y$ -intercept $( 0,5 )$

A) $y = x + 5$
B) $y = 5 x + 3$
C) $y = - 5 x - 3$
D) $y = - 3 x - 5$

Question 72

Find the slope and the y-intercept
$$y = \frac { 5 } { 6 } x + \frac { 7 } { 10 }$$

A) $\mathrm { m } = \frac { 5 } { 6 } ; \left( 0 , \frac { 7 } { 10 } \right)$
B) $\mathrm { m } = \frac { 6 } { 5 } ; \left( 0 , \frac { 10 } { 7 } \right)$
C) $\mathrm { m } = \frac { 7 } { 10 } ; \left( 0 , \frac { 5 } { 6 } \right)$
D) $\mathrm { m } = - \frac { 5 } { 6 } ; \left( 0 , - \frac { 7 } { 10 } \right)$

Question 73

Find the slope of a straight line that passes through the given pair of points.
$( 2 , - 5 )$ and $\left( \frac { 2 } { 5 } , 19 \right)$

A) $- \frac { 35 } { 4 }$
B) 15
C) $\frac { 35 } { 4 }$
D) $- 15$

Question 74

Find the slope of a straight line that passes through the given pair of points.
$( - 9 , - 2 )$ and $( 5,1 )$

A) $\frac { 14 } { 3 }$
B) $- \frac { 4 } { 7 }$
C) $\frac { 3 } { 14 }$
D) $- \frac { 7 } { 4 }$

Question 75

Find the slope and the y-intercept
y = 6

A)m = 0; (0, 6)
B)m = 0; no y-intercept
C)m = 6; (0, 0)
D)m = 1; (0, 6)

Question 76

Find the slope and the y-intercept
x + y = 12

A)m = -1; (0, 12)
B)m = 0; (0, 12)
C)m = -1; (0, -12)
D)m = 1; (0, 12)

Question 77

Find the slope and the y-intercept
7x - 8y = 56 A) $m = \frac { 7 } { 8 } ; ( 0 , - 7 )$
B) $\mathrm { m } = - \frac { 7 } { 8 } ; ( 0,7 )$
C) $m = 7 ; ( 0,56 )$
D) $\mathrm { m } = \frac { 8 } { 7 } ; ( 0,8 )$

Question 78

Find the slope and the y-intercept
$$- 3 x + 11 y = - 8$$

A) $\mathrm { m } = \frac { 3 } { 11 } ; \left( 0 , - \frac { 8 } { 11 } \right)$
B) $\mathrm { m } = 33 ; ( 0 , - 88 )$
C) $\mathrm { m } = \frac { 11 } { 3 } ; \left( 0 , \frac { 8 } { 3 } \right)$
D) $\mathrm { m } = ; ( 0 , - 8 )$

Question 79

Find the slope of a straight line that passes through the given pair of points.
(-5, -5)and (2, -5)

A)-2
B)1
C)2
D)0

Question 80

Find the slope and the y-intercept
10x + y = -8 A) $\mathrm { m } = 10 ; ( 0 , - 8 )$
B) $m = - \frac { 5 } { 4 } ; \left( 0 , - \frac { 1 } { 8 } \right)$
C) $\mathrm { m } = - 10 ; ( 0 , - 8 )$
D) $\mathrm { m } = - \frac { 1 } { 10 } ; \left( 0 , - \frac { 4 } { 5 } \right)$