Deck 4: Graphing Linear Equations

Question 1

List the ordered pair corresponding to the point.
J

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

Answer 1

(0, -3)

Question 2

List the ordered pair corresponding to the point.
F

A) (1, 2)
B) (2, 1)
C) (0, 2)
D) (2, 0)

Answer 2

(2, 0)

Question 3

Plot the point on the given axes.
(1, 3)

A)
B)
C)
D)

Answer 3

Question 4

List the ordered pair corresponding to the point.
C

A) (2, 1)
B) (2, 0)
C) (1, 2)
D) (0, 2)

Question 5

Plot the point on the given axes.
(6, -3)

A)
B)
C)
D)

Question 6

Indicate the quadrant in which the point belongs.

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

Question 7

Indicate the quadrant in which the point belongs.
(-9, -12)

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

Question 8

Indicate the quadrant in which the point belongs.
(-17, 17)

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

Question 9

List the ordered pair corresponding to the point.
I

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

Question 10

List the ordered pair corresponding to the point.
L

A)
B)
C)
D)

Question 11

List the ordered pair corresponding to the point.
D

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

Question 12

Indicate the quadrant in which the point belongs.
(5, -4)

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

Question 13

Plot the point on the given axes.
(-3, 5)

A)
B)
C)
D)

Question 14

Indicate the quadrant in which the point belongs.
(9, 19)

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

Question 15

List the ordered pair corresponding to the point.
G

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

Question 16

List the ordered pair corresponding to the point.
B

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

Question 17

Indicate the quadrant in which the point belongs.

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

Question 18

List the ordered pair corresponding to the point.
E

A) (3, -4)
B) (4, 3)
C) (3, 4)
D) (4, 2)

Question 19

List the ordered pair corresponding to the point.
M

A)
B)
C)
D)

Question 20

Indicate the quadrant in which the point belongs.

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

Question 21

Plot the point on the given axes.
(0, -6)

A)
B)
C)
D)

Question 22

Plot the point on the given axes.
( 6 , 0)

A)
B)
C)
D)

Question 23

Find the value of the missing coordinate that makes the ordered pair a solution to the equation.

A)
B)
C)
D)

Question 24

Graph by plotting points. Plot at least three points for the graph.

A)
B)
C)
D)

Question 25

Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(4, ?) for the equation 3x - 3y = 5

A)
B) 20
C)
D)

Question 26

Find the value of the missing coordinate that makes the ordered pair a solution to the equation.
y = -x - 13 (-7, y)

A) (-7 ,4 )
B) (-7, -9)
C) (-7, 9)
D) (-7, -6)

Question 27

Determine which of the four ordered pairs does not satisfy the given equation. Then plot all the points that satisfy the
equation on the same axes and a draw a straight line through the points.

Question 28

Graph by plotting points. Plot at least three points for the graph.

A)
B)
C)
D)

Question 29

Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(?, -4) for the equation 4x - 3y = 6

A)
B)
C) -10
D) - 18

Question 30

Plot the point on the given axes.
(-2, -4)

A)
B)
C)
D)

Question 31

Determine which of the four ordered pairs does not satisfy the given equation. Then plot all the points that satisfy the
equation on the same axes and a draw a straight line through the points.
y = 3x + 6 (0, 6), (-2, 12), (-1, 3), (1, 9)

Question 32

Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(4, ?) for the equation 6x + y = 3

A) 72
B) 21
C) -21
D) 27

Question 33

Find the value of the missing coordinate that makes the ordered pair a solution to the equation.
6x + y = -25 (0, y)

A) (0, -31)
B) (0, -25)
C) (0, 0)
D) (0, -35)

Question 34

Find the value of the missing coordinate that makes the ordered pair a solution to the equation.
4x + y = -1 (x, 7)

A) (-2, -7)
B) (7, 7)
C) (4, 7)
D) (-2, 7)

Question 35

Find the value of the missing coordinate that makes the ordered pair a solution to the equation.
y = 4x - 13 (-5, y)

A) ( -5, -7)
B) (-5, 7)
C) (-5, -33)
D) (-5, -20)

Question 36

Graph by plotting points. Plot at least three points for the graph.

A)
B)
C)
D)

Question 37

Graph by plotting points. Plot at least three points for the graph.

A)
B)
C)
D)

Question 38

Determine which of the four ordered pairs does not satisfy the given equation. Then plot all the points that satisfy the
equation on the same axes and a draw a straight line through the points.

Question 39

Determine which of the four ordered pairs does not satisfy the given equation. Then plot all the points that satisfy the
equation on the same axes and a draw a straight line through the points.

Question 40

Graph by plotting points. Plot at least three points for the graph.

A)
B)
C)
D)

Question 41

Graph using the x- and y-intercepts.

A)
B)
C)
D)

Question 42

Solve the problem.
Over the years, State University has seen an increase in the number of students majoring in Native American Studies. The graph below shows the number of
Students with this major for the past several years. Does the graph display a linear relationship?

A) Yes
B) No

Question 43

Graph by plotting points. Plot at least three points for the graph.

A)
B)
C)
D)

Question 44

Graph by plotting points. Plot at least three points for the graph.

A)
B)
C)
D)

Question 45

Graph using the x- and y-intercepts.

A)
B)
C)
D)

Question 46

Graph by plotting points. Plot at least three points for the graph.

A)
B)
C)
D)

Question 47

Graph by plotting points. Plot at least three points for the graph.

A)
B)
C)
D)

Question 48

Graph the equation.

A)
B)
C)
D)

Question 49

Graph using the x- and y-intercepts.

A)
B)
C)
D)

Question 50

Graph using the x- and y-intercepts.

A)
B)
C)
D)

Question 51

Graph using the x- and y-intercepts.

A)
B)
C)
D)

Question 52

Find the slope of the line through the given points.
(3, -2) and (5, -3)

A)
B) m = - 2
C)
D)

Question 53

Write the equation represented by the given graph.

A)
B)
C)
D)

Question 54

Find the slope of the line through the given points.
(5, 1) and (8, 9)

A)
B)
C)
D)

Question 55

Solve the problem.
To build a paverstone patio, Scot needs to purchase and have delivered several bundles of stones. The home
improvement store charges a flat delivery fee of $50 plus $1.00 per bundle delivered. The bundles of stones cost $32
each.
i) Write an equation for the total cost, C, of the stones and the delivery for purchasing x bundles of stones.
ii) Graph the equation for up to and including 50 bundles of stones.
iii) Estimate the total cost Scot must pay for 60 bundles of stones plus delivery.
iv) If the total cost of the stones and the delivery charge is $1634, estimate how many bundles of stones Scot
purchased.

Question 56

Graph using the x- and y-intercepts.

A)
B)
C)
D)

Question 57

Solve the problem.
The weekly profit, P, of a house cleaning service can be approximated by the formula P = 70.5h - 6500, where h
is the number of houses cleaned each week.
i) Draw a graph of profit in terms of houses cleaned for up to and including 500 houses.
ii) Estimate the weekly profit if 450 houses are cleaned.
iii) Estimate the number of houses cleaned if the week's profit is $31,570.

Question 58

Write the equation represented by the given graph.

A)
B)
C)
D)

Question 59

Graph the equation.

A)
B)
C)
D)

Question 60

Graph by plotting points. Plot at least three points for the graph.

A)
B)
C)
D)

Question 61

By observing the vertical and horizontal change of the line between the two points indicated, determine the slope of the
line.

A)
B) m = -2
C)
D) m = 2

Question 62

Find the slope of the line through the given points.
(-7, -1) and (-7, 6)

A)
B) m = 0
C)
D) undefined

Question 63

Indicate whether the distinct lines, line 1 and line 2 are parallel, perpendicular, or neither.
m1 = 0, m2 = 0

A) parallel
B) perpendicular
C) neither

Question 64

Graph the line with the given slope that goes through the given point.

A)
B)
C)
D)

Question 65

Find the slope of the line through the given points.

A)
B)
C)
D)

Question 66

Indicate whether the distinct lines, line 1 and line 2 are parallel, perpendicular, or neither.

A) parallel
B) perpendicular
C) neither

Question 67

Graph the line with the given slope that goes through the given point.
through (-3, -4) with slope undefined

A)
B)
C)
D)

Question 68

Graph the line with the given slope that goes through the given point.

A)
B)
C)
D)

Question 69

By observing the vertical and horizontal change of the line between the two points indicated, determine the slope of the
line.

A)
B)
C) m = -3
D) m = 3

Question 70

By observing the vertical and horizontal change of the line between the two points indicated, determine the slope of the
line.

A) m = - 2
B)
C) m = 2
D)

Question 71

Graph the line with the given slope that goes through the given point.

A)
B)
C)
D)

Question 72

Indicate whether the distinct lines, line 1 and line 2 are parallel, perpendicular, or neither.

A) parallel
B) perpendicular
C) neither

Question 73

By observing the vertical and horizontal change of the line between the two points indicated, determine the slope of the
line.

A)
B)
C) m = - 6
D)

Question 74

Graph the line with the given slope that goes through the given point.
through (2, 4) with m = 0

A)
B)
C)
D)

Question 75

Determine which line (the first or the second) has the greater slope.

A) The first line
B) The second line

Question 76

Indicate whether the distinct lines, line 1 and line 2 are parallel, perpendicular, or neither.

A) parallel
B) perpendicular
C) neither

Question 77

Graph the line with the given slope that goes through the given point.

A)
B)
C)
D)

Question 78

Graph the line with the given slope that goes through the given point.

A)
B)
C)
D)

Question 79

Graph the line with the given slope that goes through the given point.

A)
B)
C)
D)

Question 80

Determine which line (the first or the second) has the greater slope.

A) The first line
B) The second line