Free Printable Inequalities 03/07

1.

Choose the group of numbers that satisfy the inequality:

x < -4

a)

-4, -5, -6

b)

-4.001, -5, -6

c)

5, 6, 7

d)

0, -5, -10

2.

Choose the correct inequality for the graph:

a)

x > 2

b)

x > 2

c)

x < 2

d)

x < 2

3.

Solve the inequality: 3x - 10 > 2

a)

x > 4

b)

x < 4

c)

x > -8/3

d)

x < 8/2

4.

4 - 2x < 14

a)

x < -9

b)

x > -9

c)

x < -5

d)

x > -5

5.

Solve the inequality: -3(x + 2) < 21

a)

x < -9

b)

x > -9

c)

x > 5

d)

x < 5

6.

2(x - 1) + 4x < 10

a)

x > 2

b)

x < 2

c)

x > 11/6

d)

x < 11/6

7.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

8.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

9.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

10.

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

a)

Open

b)

closed

11.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

12.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

13.

Which graph matches the inequality
½ ≤ a?

a)

A

b)

B

c)

C

d)

D

14.

What inequality does the number line graph represent

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

15.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

16.

Match the graph with the given solution.

a)

A

b)

B

c)

C

d)

D

17.

When graphing an inequality, what does a closed circle mean?

a)

The number is not included in the list of answers.

b)

The number is included in the list of answers.

18.

Solve:
x + 5 > 10

a)

x < 15

b)

x < 5

c)

x > 15

d)

x > 5

19.

Solve:
5 - 3x < -4

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

20.

Solve:
2x + 5 < 3x - 6

a)

x < 11

b)

x > 11

c)

x > -11

d)

x < -11

21.

Solve:
5 < x + 3

a)

x < 2

b)

x > 2

c)

x > 8

d)

x < 8

22.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

23.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

24.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

25.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

26.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

27.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

28.

a)

x ≤ -2

b)

x < -2

c)

x > -2

d)

x ≥ -2

29.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

30.

When the following inequality is graphed, what will it look like?

2 > f

a)

open circle

b)

closed circle

31.

Which inequality represents the graph?

a)

X > 3

b)

X $\ge$ 3

c)

X < 3

d)

X $\le$ 3

32.

Which inequality represents the graph?

a)

X > - 1

b)

X $\ge$ -1

c)

X < -1

d)

X $\le$ -1

33.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

34.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

35.

When the following inequality is graphed, what will it look like?

r < -12.97

a)

open circle

b)

closed circle

36.

When the following inequality is graphed, what will it look like?

y<5

a)

open circle

b)

closed circle

37.

x is less than or equal to 24

a)

x > 24

b)

x < 24

c)

x ≤ 24

d)

x ≥ 24

38.

x>5

a)

x is greater than 5

b)

x is less than 5

c)

x is zero

39.

You use an open dot when you have:

a)

<, >

b)

≤, ≥

40.

You used a closed dot when you have:

a)

≤, ≥

b)

<, >

41.

Which of the following equations match the given graph?

a)

y < 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y ≤ 2/5x + 1

d)

y ≥ -2/5x - 1

42.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

43.

Level 1

Write an inequality for the statement:

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

44.

Level 2

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

45.

Level 2

The room can hold a maximum of 400 people. If there are already 134 people there, how many more can come? Identify the inequality that represents this situation.

a)

x - 134 < 400

b)

x + 134 < 400

c)

x - 134 ≤ 400

d)

x + 134 ≤ 400

46.

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

a)

True

b)

Not True

47.

Solve

a)

x < -96

b)

x < 20

c)

x = 6

d)

x > 96

48.

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

a)

YES

b)

NO

49.

- 2k > 18

a)

k is greater than 20

b)

k is less than negative 9

c)

k is greater than negative 9

d)

k is less than 36

50.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

51.

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

a)

≤, ≥

b)

<, >

52.

Solve

a)

a≤1

b)

a≤25

c)

a>1

d)

a<25

53.

more than

a)

<

b)

>

c)

≤

d)

≥

54.

At Least

a)

<

b)

>

c)

≤

d)

≥

55.

No More Than

a)

<

b)

>

c)

≤

d)

≥

56.

less than or equal to

a)

<

b)

>

c)

≤

d)

≥

57.

Less Than

a)

<

b)

>

c)

≤

d)

≥

58.

- 2k > 18

a)

k is greater than 20

b)

k is less than negative 9

c)

k is greater than negative 9

d)

k is less than 36

59.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

60.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

61.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

62.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

63.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

64.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

65.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

66.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

67.

-20>18+m

a)

M<-38

b)

M<38

c)

M>38

Inequalities 03/07

Total questions: 67

Worksheet time: 3hrs 21mins

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