Deck 3: Graphs of Linear Equations

Question 1

Plot the ordered pairs on the rectangular coordinate system provided.
A(4, -3), B(-6, 4)

Answer 1

Question 2

List the quadrant(s)in which the given point is located.
(17, -10)

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

Answer 2

D

Question 3

List the quadrant(s)in which the given point is located.
(-13, -10)

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

Answer 3

B

Question 4

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

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

Question 5

Plot the ordered pairs on the rectangular coordinate system provided.
A(2, 4), B(-3, 4)

Question 6

Identify the degree of each term and the degree of the polynomial.
(-4.5, -3.7)

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

Question 7

Identify the degree of each term and the degree of the polynomial.

A)A(6, 28); B(2, -4)
B)A(6, 6); B(2, -4)
C)A(6, 2); B(6, 2)
D)A(6, 6); B(-4, 2)

Question 8

List the quadrant(s)in which the given point is located.
(13, 7)

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

Question 9

Plot the ordered pairs on the rectangular coordinate system provided.
A(4, 6), B(-5, -5)

Question 10

List the quadrant(s)in which the given point is located.
(-6, 3)

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

Question 11

Plot the ordered pairs on the rectangular coordinate system provided.

Question 12

List the quadrant(s)in which the given point is located.
(-18, 0)

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

Question 13

Plot the ordered pairs on the rectangular coordinate system provided.
A(-2, -6), B(-1, 3)

Question 14

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

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

Question 15

Plot the ordered pairs on the rectangular coordinate system provided.
A(2, 3), B(4, -4)

Question 16

Plot the ordered pairs on the rectangular coordinate system provided.
A(0, 2), B (0, -5)

Question 17

Identify the degree of each term and the degree of the polynomial.

A)C(-3, 7); D(-5, 5)
B)C(-3, 7); D(5, -5)
C)C(7, 10); D(-5, 5)
D)C(-3, -5); D(7, -5)

Question 18

Plot the ordered pairs on the rectangular coordinate system provided.
A(-1, 0), B (5, 0)

Question 19

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

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

Question 20

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

Question 21

Find the coordinates of the labeled points.

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

Question 22

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; (5, 0), (3, -2)

Question 23

Identify the degree of each term and the degree of the polynomial.

A)E(-6, 3); G(-7, -2)
B)E(-6, 3); G(-2, -7)
C)E(3, 4); G(-2, -7)
D)E(-6, -2); G(3, -2)

Question 24

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.

Question 25

Identify the degree of each term and the degree of the polynomial.

A)G(2, -7); H(-6, -7)
B)G(-6, 20); H(-7, -5)
C)G(2, -6); H(-7, -5)
D)G(2, -6); H(-5, -7)

Question 26

Identify the degree of each term and the degree of the polynomial.

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

Question 27

Find the coordinates of the labeled points.
3x + 5y = 25; (5, 2)

A)No
B)Yes

Question 28

Find the coordinates of the labeled points.
x - y = 4; (2, 5)

A)Yes
B)No

Question 29

Graph the linear equation.
y = 3x + 2

Question 30

Find the coordinates of the labeled points.
3x - 4y = 18; (2, 3)

A)No
B)Yes

Question 31

Find the coordinates of the labeled points.
5x + y = 28; (5, 3)

A)Yes
B)No

Question 32

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 = 10; (1, -2), (3, 4)

Question 33

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 = 7; (3, 1), (5, -3)

Question 34

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; (-1, -5), (5, 1)

Question 35

Graph the linear equation.

Question 36

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.

Question 37

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; (2, 7), (-4, 1)

Question 38

Find the coordinates of the labeled points.
x + y = 14; (8, 6)

A)No
B)Yes

Question 39

Find the coordinates of the labeled points.
x + y = 6; (3, 4)

A)Yes
B)No

Question 40

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), (-4, 6)

Question 41

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

Question 42

Graph the linear equation.

Question 43

Graph the linear equation.

Question 44

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

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

Question 45

Graph the linear equation.

Question 46

Determine whether the given ordered pair is a solution of the equation.
x + 2y = 1

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

Question 47

Graph the linear equation.
6x - y = -5

Question 48

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 3 years.

Question 49

Determine whether the given ordered pair is a solution of the equation.
y = 10x

A)1, 10
B)10, 0
C)(0, 0)
D)0, 10

Question 50

Determine whether the given ordered pair is a solution of the equation.
6x - 5y = -5

A)(0, -1)
B)(0, -5)
C)(0, 1)
D)(6, 5)

Question 51

Determine whether the given ordered pair is a solution of the equation.
y = x - 9

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

Question 52

Determine whether the given ordered pair is a solution of the equation.
x + y = -9

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

Question 53

Graph the linear equation.

Question 54

Graph the linear equation.

Question 55

Determine whether the given ordered pair is a solution of the equation.
y = x + 7

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

Question 56

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

Question 57

Determine whether the given ordered pair is a solution of the equation.
5y + 8x = -7

A)(0, -7)
B)(-7, 0)

Question 58

Determine whether the given ordered pair is a solution of the equation.
y = 9x - 5

A)(0, 5)
B)(0, -5)
C)(-5, 0)
D)(9, -5)

Question 59

Graph the linear equation.

Question 60

Solve the problem.
The value V, in dollars, of a shopkeeper's inventory software program is given by V = -30t + 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 8 years.

A)$420, $270, and $210
B)$450, $270, and $210
C)$450, $270, and $250
D)$450, $630, and $210

Question 61

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

Question 62

Find the coordinates of the y-intercept and the x-intercept, in that order.
y = 1

Question 63

Find the coordinates of the y-intercept and the coordinates of the x-intercept.
-3x + 2y = -6

A)(0, -1)(0, -9)
B)(2, -9)(-1, -6)
C)(2, 0)(0, -3)
D)(-1, 0)(-9, 0)

Question 64

Find the coordinates of the y-intercept and the coordinates of the x-intercept.
-2x + y = 10

A)(0, -8)(0, -6)
B)(-8, 0)(-6, 0)
C)(10, -6)(-8, 10)
D)(-5, 0)(0, 10)

Question 65

Find the coordinates of the y-intercept and the coordinates of the x-intercept.
2x + y = -6

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

Question 66

Find the coordinates of the y-intercept and the coordinates of the x-intercept.
3x + y = 3

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

Question 67

Find the coordinates of the y-intercept and the coordinates of the x-intercept.
x + y = -8

A)(-8, 0)(0, -8)
B)(-3, 0)(-5, 0)
C)(-8, -5)(-3, -8)
D)(0, -3)(0, -5)

Question 68

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

Question 69

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

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

Question 70

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

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

Question 71

Find the coordinates of the y-intercept for the given equation.
The value V, in dollars, of a shopkeeper's inventory software program is given by V = -30t + 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 $190?

A)1 yr
B)2 yr
C)3 yr
D)4 yr

Question 72

Find the x- and y-intercepts for the equation. Then graph the equation.
5x - 4 = y

Question 73

Find the coordinates of the y-intercept and the x-intercept, in that order.
x = 1

Question 74

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

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

Question 75

Find the coordinates of the y-intercept and the x-intercept, in that order.
5x - 10y = 0

Question 76

Find the coordinates of the y-intercept and the coordinates of the x-intercept.
-2x - 5y = 10

A)(-9, 0)(-8, 0)
B)(-5, -8)(-9, 10)
C)(0, -9)(0, -8)
D)(0, -2)(-5, 0)

Question 77

Find the x- and y-intercepts for the equation. Then graph the equation.
15y - 5x = -10

Question 78

Find the x- and y-intercepts for the equation. Then graph the equation.
-4x - 8y = 24

Question 79

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

Question 80

Find the x- and y-intercepts for the equation. Then graph the equation.
6x - 12y = 12