Free Printable Inequalities Practice

1.

Which number is a solution to the inequality below?

$b\ >\ 11.3$

a)

15

b)

9

c)

4

d)

-14

2.

Which number is a solution to the inequality below?

$m\ >\ \frac{13}{3}$

a)

3

b)

5

c)

2

d)

-9

3.

Solve for t. (Use the image to identify the correct inequality and graph.)

$\frac{t}{10}\ -\ 7\ <\ -1$

a)

A

b)

B

c)

C

d)

D

4.

Solve for x. (Use the image to identify the correct inequality and graph.)

$x\ -\ 1\ \le\ -9$

a)

A

b)

B

c)

C

d)

D

5.

Solve for c. (Use the image to identify the correct inequality and graph.)

$c\ -\ 5\ \le\ 6$

a)

A

b)

B

c)

C

d)

D

6.

Solve for x. (Use the image to identify the correct inequality and graph.)

$\frac{x}{8}\ >\ 4$

a)

A

b)

B

c)

C

d)

D

7.

Solve for x. (Use the image to identify the correct inequality and graph.)

$\frac{x}{-4}\ \le\ 2$

a)

A

b)

B

c)

C

d)

D

8.

Solve for x. (Use the image to identify the correct inequality and graph.)

$2x\ \ge\ 8$

a)

A

b)

B

c)

C

d)

D

9.

Solve the inequality.

$-5x\ -\ 7\ <\ 28$

a)

x > -7

b)

x < -7

c)

x > $\frac{21}{5}$

d)

x < $\frac{-21}{5}$

10.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

11.

Solve the inequality.

$-4d\ -\ 9\ \le\ 3$

a)

$d\ \ge\ \frac{6}{13}$

b)

$d\ \ge\ \frac{3}{13}$

c)

$d\ \ge\ -1\frac{1}{2}$

d)

$d\ \ge\ -3$

12.

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

a)

A

b)

B

c)

C

d)

D

13.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

14.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

15.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

16.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

17.

Is 7 a solution to the inequality below?
d + 2 < 6

a)

Yes

b)

No

18.

What inequality does the number line graph represent? (Hint: You may have to solve each inequality.)

a)

x + 2 < 5

b)

3x ≥ 9

c)

2x - 1 > 5

d)

x + 3 < 0

19.

Which of the following situations shows the need to flip the inequality sign?

a)

$3x<-9$

b)

$\frac{x}{-4}>8$

c)

$x-2\le-4$

d)

$x--1\ge6$

20.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

21.

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

22.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

23.

Solve
(n/3) > -20

a)

n > 60

b)

n < -17

c)

n > -60

d)

n < -23

24.

Solve
-9h > (-63)

a)

h < 7

b)

h > 7

c)

h < -7

d)

h > -7

25.

4x + 1 > 13

a)

x > 48

b)

x < 3

c)

x > 3.5

d)

x > 3

26.

-9x + 7 ≥ 25

a)

x ≥ -3.6

b)

x ≤ 2

c)

x ≥ -2

d)

x ≤ -2

27.

Solve the following inequality. Show your algebraic work!

a)

b > 6

b)

b < -4

c)

b > 1

d)

b < -12

28.

-1(2x + 4) ≥ 6

a)

x ≤ -5

b)

x ≥ -5

c)

x ≤ -1

d)

x ≥ -1

29.

Solve the following inequality. Show your algebraic work!

a)

x > -2

b)

x > 1

c)

x > 3

d)

x < 4

30.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

31.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

32.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

33.

Which number line best represents the solution to the inequality 5w ≥ 30

a)

A

b)

B

c)

C

d)

D

34.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

35.

Select all of the values that are solutions to x͕ ≥ -8.

a)

-8.01

b)

8.01

c)

8

d)

-8

36.

10 - 3x < 16

a)

x < -2

b)

x > -2

c)

x < 2

d)

x > 2

37.

84 - 4x ≤ 52

a)

x > 8

b)

x < 8

c)

x > 8

d)

x < 8

38.

Translate: 5 times a number is at least 60.

a)

5x < 60

b)

5x > 60

c)

5x ≤ 60

d)

5x ≥ 60

39.

Does the given value make the inequality true? x + 9 > 21, when x = 15

a)

True

b)

Not True

40.

Does the sign need to flip when solving?
8y < (-40)

a)

YES

b)

NO

41.

Do you flip the sign?
-3x + 2 ≤ 22

a)

YES

b)

NO

42.

Which numbers are possible solutions to the inequality... (SELECT ALL THAT APPLY)

-5x + 10 ≥ 30

a)

0

b)

100

c)

-100

d)

-4

e)

-5

43.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

44.

Pick the correct letter for:

6 > x

a)

A

b)

B

c)

C

d)

D

45.

What are two solutions to
x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

46.

Pick the correct inequality shown in the picture.

a)

A

b)

B

c)

C

d)

D

47.

Match:
The postal scale will weigh a maximum of 50 lbs.

a)

p < 50

b)

p > 50

c)

p ≤ 50

d)

p ≥ 50

48.

Match:
You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

49.

Write an inequality
Tom has to have at least 15 people to go to his birthday party

a)

x<15

b)

x>15

c)

x≤15

d)

x≥15

50.

Which sentence represents m > 41?

a)

Mary’s points, m, totaled more than 41

b)

Calvin ran no less than 41 miles, m

c)

The temperature, m, was less than 41°F

d)

The magazines’ cost, m, was not more than $41.

51.

Which graph represents the inequality -2x + 3 < 7 (YOU divided by a negative so you need to flip the inequality sign)

a)

b)

c)

d)

52.

You spend at least 50 minutes practicing football each day. You spent 28 minutes practicing this morning. You want to practice twice as long in the afternoon. How long will you need to practice for?

a)

28 + 2x < 50

b)

28 + 2x < 50

c)

28 + 2x > 50

d)

28 + 2x > 50

53.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an inequality that represents this scenario if she can spend no more than $35 in all.

a)

.50x + 20≤ 35

b)

.50x < 35

c)

.50 + 20x ≤ 35

d)

.50x - 20 = 35

54.

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 and $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

a)

0.85x + 375 > 450

b)

0.85x + 375 < 450

c)

0.85 + 375x > 450

d)

0.85 + 375x < 450

55.

When we multiply or divide an inequality by a negative we ____________.

a)

keep the inequality symbol the same

b)

reverse the inequality symbol

c)

make it equal only

d)

make it less than only

56.

Keldric needs at least 25 calculators
which of these could we choose to give him.

a)

24 calculators

b)

29 calculators

c)

8 calculators

d)

16 calculators

57.

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

58.

No More Than

a)

<

b)

>

c)

≤

d)

≥

59.

what does the number line show

a)

x = 3

b)

x > 3

c)

x < 3

d)

x > 6

60.

What is the inequality for:

There are more than 10 people in my family.

a)

p < 10

b)

p ≤ 10

c)

p > 10

d)

p ≥ 10

61.

m - 5 > 10

a)

m is less than 15

b)

m is greater than 5

c)

m is greater than 15

d)

m is less than 5

62.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

63.

a)

A

b)

B

c)

C

d)

D

64.

Match the graph with its inequality.

a)

c > 9

b)

c < 9

c)

c ≥ 9

d)

c ≤ 9

65.

Solve the inequality.

a)

a > 4

b)

a > 2

c)

a > 6

d)

a < 6

66.

Solve the inequality.

a)

k ≤ –11

b)

k ≤ –5

c)

k ≤ 8

d)

k ≤ –3

67.

Write an inequality for this situation:
We need to make at least $10,000

a)

x < 10000

b)

x > 10000

c)

x ≤ 10000

d)

x ≥ 10000

68.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

69.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

70.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

71.

y - 13 ≤ -15

a)

y ≤ 2

b)

y ≤ -2

c)

y ≤ 28

d)

y ≤ -28

72.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

73.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

74.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

75.

22 < 6c + 4

a)

11>c

b)

3>c

c)

11<c

d)

3<c

76.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

77.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

78.

When graphing b < 6 would you use an open or closed circle?

a)

Open

b)

closed

79.

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

a)

A

b)

B

c)

C

d)

D

80.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

81.

s - 10 ≤ 1

a)

s ≤ 11

b)

s ≤ 9

c)

s ≥ 11

d)

s ≥ 9

82.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

83.

$6x>12$

a)

$x<2$

b)

$x\le2$

c)

$x>2$

d)

$x\ge2$

84.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

85.

Solve the following inequality:

$3x+15\le21$

a)

$x\ge2$

b)

$x=2$

c)

$x\le2$

d)

$x<2$

86.

Solve the inequality.

$-4d\ -\ 9\ \le\ 3$

a)

$d\ \le3$

b)

$d\ \le-3$

c)

$d\ \ge\ 3$

d)

$d\ \ge\ -3$

87.

Solve the following inequality:

$-2b+4>-6$

a)

$b>5$

b)

$x>5$

c)

$b=5$

d)

$b<5$

88.

Solve the following inequality:

$5\left(k+8\right)-7\le23$

a)

$k\le2$

b)

$k=-2$

c)

$k\le-2$

d)

$k<2$

89.

Solve the following inequality:

$2\left(-3m-5\right)\ge-28$

a)

$m=3$

b)

$m\ge3$

c)

$m\ge\frac{23}{6}$

d)

$m\le3$

Inequalities Practice

Total questions: 89

Worksheet time: 7hrs 25mins

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