Free Printable Equations and Inequalities Test Review

1.

y + 7 ≥ 12

a)

y ≥ 5

b)

y ≤ 5

c)

y ≥ 19

d)

y ≤ 19

2.

y − 10 > 14

a)

y > 24

b)

y < 24

c)

y > 4

d)

y < 4

3.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

4.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

5.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

6.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

7.

Solve
8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

8.

Solve

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

9.

Solve

a)

a≤1

b)

a≤25

c)

a>1

d)

a<25

10.

Level 1

When do we switch the inequality symbol?

a)

when multiplying or dividing by a NEGATIVE

b)

when adding and subtracting a NEGATIVE

c)

we never switch the inequality

d)

When there is a negative in the problem

11.

Level 1

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

12.

Level 1

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

13.

Level 3

What are two solutions to x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

14.

Level 3

Solve

-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

15.

Level 3

Solve the inequality. Graph the solution.

-11w > -11

a)

b)

c)

d)

16.

Level 3.

Solve the inequality. Graph the solution.

y+5 ≥ 2

a)

b)

c)

d)

17.

Level 3

Which number line shows the solution set to the inequality below?

x - 3 > -3

a)

A

b)

B

c)

C

d)

D

18.

Which inequality is represented by this graph?

a)

2.75 > d

b)

2.75 < d

c)

2.75 ≥ d

d)

2.75 ≤ d

19.

Solve the following equation
X + 8 = 15

a)

23

b)

-7

c)

7

d)

-23

20.

Solve the following equation
8 = m - 12

a)

4

b)

0.5

c)

5.0

d)

20

21.

Solve the following equation
18 = 3b

a)

15

b)

6

c)

21

d)

54

22.

Solve the following equation
2y = 18

a)

36

b)

16

c)

9

d)

20

23.

Solve the following equation
c / 4 = 4

a)

1/4

b)

8

c)

1

d)

16

24.

Solve the equation:
x - 3 = -12

a)

x = 9

b)

x = -15

c)

x = -9

d)

x = 15

25.

Solve the equation:
x - 5.5 = -10.5

a)

x = 15

b)

x = -15

c)

x = 5

d)

x = -5

26.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

27.

Which equation has w = 8 as the solution?

a)

8w= 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

28.

Solve the equation:
20.5 = x + 4

a)

16.5

b)

16.05

c)

24.5

d)

24.05

29.

Solve the equation:
$3c=12$

a)

36

b)

4

c)

15

d)

9

30.

Solve the equation:
$x-12=2$

a)

24

b)

10

c)

20

d)

14

31.

Solve the equation:
$9+x=18$

a)

10

b)

8

c)

9

d)

2

32.

Solve the equation:
$-8x=-32$

a)

4

b)

40

c)

6

d)

5

33.

Solve the equation:
$x-8=10$

a)

2

b)

9

c)

10

d)

18

34.

Solve the equation:
$\frac{x}{-2}=-4$

a)

22

b)

9

c)

8

d)

6

35.

Solve the equation:
$-5x=25$

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

36.

Solve the equation:
$-3=n-11$

a)

-14

b)

8

c)

-8

d)

14

37.

Solve the equation:
$x-3=-12$

a)

x = 9

b)

x = -15

c)

x = -9

d)

x = 15

38.

Solve the equation:
$\frac{x}{-3}=-4$

a)

x = 12

b)

x = 1

c)

x = -1

d)

x = -12

39.

Solve the equation:
$-y=22$

a)

y = 1

b)

y = -22

c)

y = 0

d)

y = -1

40.

Solve each equation:
$-4+r=10$

a)

r = 14

b)

r = 6

c)

r = -6

d)

r = 40

41.

Solve each equation:
$-10k=50$

a)

-500

b)

-5

c)

-7

d)

3

42.

Solve the equation:
$-22+x=-42$

a)

64

b)

-64

c)

20

d)

-20

43.

Solve each equation:
$12=x-\left(-18\right)$

a)

6

b)

-6

c)

30

d)

-30

44.

Solve each equation:
$2x=-16$

a)

-8

b)

$\frac{1}{8}$

c)

8

d)

$\frac{-1}{8}$

45.

Solve each equation:
$\frac{x}{-4}$ = 9

a)

13

b)

36

c)

-36

d)

$\frac{-4}{9}$

46.

Solve each equation:
3= $\frac{c}{-11}$

a)

33

b)

14

c)

-33

d)

-14

47.

Solve for x:
$\frac{x}{5}=-2$

a)

x = 20

b)

x = 7

c)

x = -10

d)

x = 3

48.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

49.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

50.

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

51.

15 > -5 + z

a)

z < 20

b)

z > 20

c)

z > 10

d)

10 > z

52.

8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

53.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

54.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

55.

The sign below means...
≥

a)

Greater Than

b)

Less Than

c)

Greater Than or Equal to

d)

Less Than or Equal to

56.

<

a)

equal

b)

less than

c)

less than or equal to

d)

at least

57.

If you were to graph x > 2, what would you do?

a)

put a closed dot on 2 and to the right

b)

put a closed dot on 2 and to the left

c)

put an open dot on 2 and to the right

d)

put an open dot on 2 and to the left

58.

How many answers are there in an inequality?

a)

0

b)

1

c)

2

d)

multiple

59.

Which of the following inequalities would require you to flip the sign when solving?

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

60.

at the most

a)

≥

b)

≤

c)

>

d)

<

61.

at least 45

a)

< 45

b)

> 45

c)

≤ 45

d)

≥ 45

62.

Does the inequality sign flip?
2x < 20

a)

Yes

b)

No

63.

Does the inequality sign flip?
-12y < -24

a)

Yes

b)

No

64.

Does the inequality sign flip?
3a < -45

a)

Yes

b)

No

65.

Does the inequality sign flip?
3x - 7 < -22

a)

Yes

b)

No

66.

Does the inequality sign flip?
-8y - 9 < 55

a)

Yes

b)

No

67.

Does the inequality sign flip?
13 + 5x < -25

a)

Yes

b)

No

68.

Solve
x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

69.

Solve
r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

70.

Solve
-24 + k ≤ 10

a)

k ≤ 14

b)

34 ≤ k

c)

k ≤ 34

d)

14 ≤ k

71.

Solve
8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

72.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

73.

Solve

a)

m < -76

b)

m < -52

c)

m = 52

d)

m > -52

74.

Solve

a)

n < -16

b)

n < 6

c)

n = 16

d)

n > 16

75.

Solve

a)

x < -96

b)

x < 20

c)

x = 6

d)

x > 96

76.

Solve

a)

n < -35

b)

n > 35

c)

n = -35

d)

n ≤ -35

77.

Solve

a)

x < -20

b)

x ≥ -24

c)

x = 20

d)

x ≤ -24

78.

Solve

a)

x < -21

b)

x ≥ 21

c)

x = 214

d)

x ≤ -124

79.

Solve

a)

n < -72

b)

n ≥ 72

c)

n = -48

d)

n ≤ -72

80.

Solve

a)

x>48

b)

x>3

c)

x≥48

d)

x<3

81.

Solve

a)

q≤46

b)

q<46

c)

q≥46

d)

q<46

82.

Solve

a)

y<139

b)

y≥55

c)

y>55

d)

y≤139

83.

Solve

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

84.

Solve

a)

a≤1

b)

a≤25

c)

a>1

d)

a<25

85.

Solve

a)

d≥59

b)

d≤69

c)

d≥49

d)

d<58

86.

Solve
15 + x < 0

a)

x < -15

b)

x < 150

c)

x > -15

d)

x > -150

87.

Solve
-6s <-6

a)

s < 1

b)

s > -1

c)

s < -1

d)

s > 1

88.

Solve
m -3 > -8

a)

m < -11

b)

m > -11

c)

m < -5

d)

m > -5

89.

Solve
-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

90.

Solve
-2x < 14

a)

x < -7

b)

x > -7

c)

x ≤ -7

d)

x ≥ -7

91.

Solve

a)

m < 3

b)

m ≥ 48

c)

m = -48

d)

m ≤ -48

92.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

93.

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

94.

-3x − 4 < 5

a)

x > -3

b)

x < -3

c)

x < 3

d)

x > 3

95.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

96.

Solve for x.

2x + 6 ≥ -8

a)

x ≥ -7

b)

x ≤ -7

c)

x ≥ -10

d)

x ≤ -10

97.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

98.

When graphing $b<6$ , would you use an open circle or a filled-in/closed dot?

a)

open circle

b)

filled-in/closed dot

99.

Solve the following inequality. Show your algebraic work!

a)

m > -2

b)

m > 6

c)

m < 5

d)

m < 3

100.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

Equations and Inequalities Test Review

Total questions: 100

Worksheet time: 7hrs 24mins

Similar Resources on Wayground