Deck 4: Graphs of Linear Equations

Question 1

Write the word or phrase that best completes each statement or answers the question.
Plot the ordered pairs on the rectangular coordinate system provided.
A(4, 3), B(-2, -4)

Answer 1

Question 2

Write the word or phrase that best completes each statement or answers the question.
Plot the ordered pairs on the rectangular coordinate system provided.
A(0, 2), B (0, -4)

Answer 2

Question 3

List the quadrant(s) in which the given point is located.
(14, -12)

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

Answer 3

D

Question 4

List the quadrant(s) in which the given point is located.
(-2.7, -3.7)

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

Question 5

List the quadrant(s) in which the given point is located.
The coordinates have the same sign.

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

Question 6

List the quadrant(s) in which the given point is located.
(-4, 6)

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

Question 7

Write the word or phrase that best completes each statement or answers the question.
Plot the ordered pairs on the rectangular coordinate system provided.
A(1, 4), B(-6, 3)

Question 8

Write the word or phrase that best completes each statement or answers the question.
Plot the ordered pairs on the rectangular coordinate system provided.
A(1, -3), B(-5, 1)

Question 9

Write the word or phrase that best completes each statement or answers the question.
Plot the ordered pairs on the rectangular coordinate system provided.
A(4, 0), B (-5, 0)

Question 10

List the quadrant(s) in which the given point is located.
The first coordinate is positive.

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

Question 11

Find the coordinates of the labeled points.

A) C(6, 10); D(-4, 3)
B) C(-3, -4); D(6, -4)
C) C(-3, 6); D(3, -4)
D) C(-3, 6); D(-4, 3)

Question 12

List the quadrant(s) in which the given point is located.
The second coordinate is negative.

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

Question 13

Find the coordinates of the labeled points.

A) A(2, 6); B(7, -6)
B) A(2, 7); B(6, 7)
C) A(6, 20); B(7, -6)
D) A(2, 6); B(-6, 7)

Question 14

List the quadrant(s) in which the given point is located.
(4, 9)

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

Question 15

List the quadrant(s) in which the given point is located.
(-6, 0)

A) IV
B) III
C) II
D) On an axis

Question 16

List the quadrant(s) in which the given point is located.
(-10, -20)

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

Question 17

Write the word or phrase that best completes each statement or answers the question.
Plot the ordered pairs on the rectangular coordinate system provided.
A(-5, -3), B(-1, 5)

Question 18

Write the word or phrase that best completes each statement or answers the question.
Plot the ordered pairs on the rectangular coordinate system provided.
A(6, 2), B(4, -4)

Question 19

List the quadrant(s) in which the given point is located.

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

Question 20

Write the word or phrase that best completes each statement or answers the question.
Plot the ordered pairs on the rectangular coordinate system provided.
A(- , -5), B(-4, 5)

Question 21

Determine whether the given ordered pair is a solution of the equation.

-x + y = 12; (7, 5)

Question 22

Find the coordinates of the labeled points.

A) A(-6, 0); B(4, -4)
B) A(6, 0); B(4, -4)
C) A(-6, 6); B(4, -4)
D) A(-6, 0); B(-4, -4)

Question 23

Write the word or phrase that best completes each statement or answers the question.
Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine
another solution. Answers may vary.
y = x - 3; (7, 4), (-2, -5)

Question 24

Find the coordinates of the labeled points.

A) G(7, 2); H(-5, -7)
B) G(2, 30); H(-5, -7)
C) G(7, -5); H(2, -5)
D) G(7, 2); H(-7, -5)

Question 25

Find the coordinates of the labeled points.

A) E(2, 10); G(-5, -6)
B) E(-3, -5); G(2, -5)
C) E(-3, 2); G(-6, -5)
D) E(-3, 2); G(-5, -6)

Question 26

Write the word or phrase that best completes each statement or answers the question.
Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine
another solution. Answers may vary.
6x - 2y = 4; (0, -2), (3, 7)

Question 27

Write the word or phrase that best completes each statement or answers the question.
Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine
another solution. Answers may vary.
y = x + 5; (0, 5), (-3, 2)

Question 28

Write the word or phrase that best completes each statement or answers the question.
Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine
another solution. Answers may vary.
y = + 2; (2, 3), (-2, 1)

Question 29

Determine whether the given ordered pair is a solution of the equation.

-2x + 5y = 29; (2, 5)

Question 30

Graph the linear equation.

A)
B)
C)
D)

Question 31

Determine whether the given ordered pair is a solution of the equation.

-5x - 4y = 32; (4, 3)

Question 32

Write the word or phrase that best completes each statement or answers the question.
Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine
another solution. Answers may vary.
3x - 3y = 12; (-2, -6), (5, 1)

Question 33

Graph the linear equation.
y = 2x + 3

A)
B)
C)
D)

Question 34

Write the word or phrase that best completes each statement or answers the question.
Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine
another solution. Answers may vary.
2x + y = 6; (1, 4), (5, -4)

Question 35

Determine whether the given ordered pair is a solution of the equation.

-x + y = 14; (7, 4)

Question 36

Write the word or phrase that best completes each statement or answers the question.
Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine
another solution. Answers may vary.
x + 2y = 8; (2, 3), (-2, 5)

Question 37

Write the word or phrase that best completes each statement or answers the question.
Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine
another solution. Answers may vary.
y = - 2; (4, 0), (-4, -4)

Question 38

Determine whether the given ordered pair is a solution of the equation.

-3x + y = 18; (5, 3)

Question 39

Determine whether the given ordered pair is a solution of the equation.

-x - y = 25; (5, 4)

Question 40

Find the coordinates of the labeled points.

A) A(5, -2); B(1, -4)
B) A(5, 2); B(0, -4)
C) A(5, 2); B(0, 4)
D) A(-5, 2); B(0, 4)

Question 41

Find the coordinates of the y-intercept for the given equation.
y = x + 4

A)
B) (4, 0)
C)
D) (0, 4)

Question 42

Find the coordinates of the y-intercept for the given equation.

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

Question 43

Find the coordinates of the y-intercept for the given equation.
y = 8x - 9

A) (0, 9)
B) (0, -9)
C) (8, -9)
D) (-9, 0)

Question 44

Find the coordinates of the y-intercept for the given equation.
y = x + 7

A) (7, 7)
B) (0, 7)
C) (7, 0)
D) (0, 1)

Question 45

Find the coordinates of the y-intercept for the given equation.
x + y = -7

A) (0, -7)
B) (0, 7)
C) (7, 0)
D) (0, -1)

Question 46

Graph the linear equation.
-4x + y = 0

A)
B)
C)
D)

Question 47

Graph the linear equation.
2y + 6x = 14

A)
B)
C)
D)

Question 48

Graph the linear equation.
4x - y = 8

A)
B)
C)
D)

Question 49

Graph the linear equation.

A)
B)
C)
D)

Question 50

Graph the linear equation.

A)
B)
C)
D)

Question 51

Graph the linear equation.
y = 3x

A)
B)
C)
D)

Question 52

Find the coordinates of the y-intercept for the given equation.
x + 2y = 3

A) (6, 0)
B) (0, 6)
C) (2, 6)
D)

Question 53

Solve the problem.
The value V, in dollars, of a shopkeeper's inventory software program is given by V = -20t + 450, where t is the number of years since the shopkeeper first bought the program. Find the value of the software after 0 years,
6 years, and 10 years.

A) $450, $330, and $210
B) $450, $330, and $250
C) $430, $330, and $250
D) $450, $570, and $250

Question 54

Find the coordinates of the y-intercept for the given equation.
4x - 2y = 8

A) (0, 4)
B) (0, -4)
C) (4, 2)
D) (0, 8)

Question 55

Graph the linear equation.

A)
B)
C)
D)

Question 56

Find the coordinates of the y-intercept for the given equation.
8y + 8x = -4

A)
B)
C) (0, -4)
D) (-4, 0)

Question 57

Solve the problem.
The value V, in dollars, of a shopkeeper's inventory software program is given by V = -30t + 700, where t is the number of years since the shopkeeper first bought the program. Graph the equation and then use the graph to
Estimate the value of the software after 5 years.

A)
B)
C)
D)

Question 58

Graph the linear equation.
-x + 8y = -3

A)
B)
C)
D)

Question 59

Find the coordinates of the y-intercept for the given equation.
y = x - 5

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

Question 60

Find the coordinates of the y-intercept for the given equation.
y = x - 3

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

Question 61

Find the coordinates of the y-intercept and the coordinates of the x-intercept.

A) (-3, -7), (0, 0)
B) (0, -7), (-3, 0)
C) (0, -3), (-7, 0)
D) (0, 0), (-7, -3)

Question 62

Find the x- and y-intercepts for the equation. Then graph the equation.
-6x - 30y = 30

A)
B)

Question 63

Find the coordinates of the y-intercept and the coordinates of the x-intercept.

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

Question 64

Find the x- and y-intercepts for the equation. Then graph the equation.
x + 3y = 9

A)
B)

Question 65

Find the coordinates of the y-intercept and the x-intercept, in that order.
2x + y = 8

A) (4, 0) (0, 8)
B) (0, 8) (0, -8)
C) (8, -8) (8, 8)
D) (8, 0) (-8, 0)

Question 66

Find the coordinates of the y-intercept and the x-intercept, in that order.
-3x - 2y = 0

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

Question 67

Find the x- and y-intercepts for the equation. Then graph the equation.
6y - 2x = -10

A)
B)

Question 68

Find the x- and y-intercepts for the equation. Then graph the equation.
2x - 4y = 12

A)
B)

Question 69

Find the x- and y-intercepts for the equation. Then graph the equation.
5x - 30y = 0

A)
B)

Question 70

Find the coordinates of the y-intercept and the coordinates of the x-intercept.

A) (0, -6), (-7, 0)
B) (-6, -7), (0, 0)
C) (0, -7), (-6, 0)
D) (0, 0), (-7, -6)

Question 71

Find the coordinates of the y-intercept and the x-intercept, in that order.
-2x + 5y = 0

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

Question 72

Solve the problem.
The value V, in dollars, of a shopkeeper's inventory software program is given by V = -40t + 250, where t is the number of years since the shopkeeper first bought the program. After how many years is the value of the
Software $10?

A) 6 yr
B) 8 yr
C) 7 yr
D) 5 yr

Question 73

Find the coordinates of the y-intercept and the x-intercept, in that order.
x + y = -7

A) (-2, 0) (-5, 0)
B) (-7, -5) (-2, -7)
C) (-7, 0) (0, -7)
D) (0, -2) (0, -5)

Question 74

Find the coordinates of the y-intercept and the x-intercept, in that order.
3x - 5y = 4

A)
B) 1, 0 , 0, 9
C)
D)

Question 75

Find the coordinates of the y-intercept and the x-intercept, in that order.
3x + y = 3

A) (1, 0) (0, 3)
B) (0, -1) (0, 6)
C) (3, 6) (-1, 3)
D) (-1, 0) (6, 0)

Question 76

Graph.
x = -2

A)
B)
C)
D)

Question 77

Find the coordinates of the y-intercept and the x-intercept, in that order.
-2x + y = -2

A) (-3, 0) (-8, 0)
B) (-2, -8) (-3, -2)
C) (0, -3) (0, -8)
D) (1, 0) (0, -2)

Question 78

Find the coordinates of the y-intercept and the x-intercept, in that order.
5y - 11 = 2x

A) -13, 0 , 0, 6
B)
C)
D)

Question 79

Find the x- and y-intercepts for the equation. Then graph the equation.
2x - 5 = y

A)
B)

Question 80

Graph.
y = 2

A)
B)
C)
D)