Free Printable Inequalities REVIEW

1.

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.

2.

What inequality does the number line graph represent

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

3.

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

a)

Open

b)

closed

4.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

5.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

6.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

7.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

8.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

9.

Which graph matches the inequality
½ ≤ a?

a)

A

b)

B

c)

C

d)

D

10.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

11.

Match the graph with the given solution.

a)

A

b)

B

c)

C

d)

D

12.

Solve:
x + 5 > 10

a)

x < 15

b)

x < 5

c)

x > 15

d)

x > 5

13.

Solve:
5 - 3x < -4

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

14.

Solve:
5 < x + 3

a)

x < 2

b)

x > 2

c)

x > 8

d)

x < 8

15.

-4x + 14 ≤ 54

a)

x ≥ -10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

16.

Solve.

a)

x > -28

b)

x > 28

c)

x > -14

d)

x > 14

17.

8x - 19 < 13

a)

x < 4

b)

x < -4

c)

x = 4

d)

x < -3/4

18.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

19.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

20.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

21.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

22.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

23.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

24.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

25.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

26.

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

a)

<, >

b)

≤, ≥

27.

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

a)

≤, ≥

b)

<, >

28.

The keywords "at most" are used with which of the following symbols?

a)

≤

b)

>

c)

<

d)

≥

29.

The keywords "at least" are used with which of the following symbols?

a)

≥

b)

≤

c)

>

d)

<

30.

x - 7 ≥ 4

a)

x ≥ 11

b)

x ≥ -11

c)

x ≥ 3

d)

x ≥ -3

31.

14 ≥ x - 8

a)

22 ≥ x

b)

-22 ≥ x

c)

6 ≥ x

d)

-6 ≥ x

32.

Which of the following symbols means "less than"?

a)

<

b)

>

c)

≤

d)

≥

33.

Which of the following symbols means "more than"?

a)

>

b)

<

c)

≤

d)

≥

34.

Which of the following symbols means "less than or equal to"?

a)

≤

b)

<

c)

>

d)

≥

35.

Which of the following symbols means "greater than or equal to"?

a)

≥

b)

≤

c)

>

d)

<

36.

5x - 7 ≥ 8

a)

x ≥ 3

b)

x ≤ 3

c)

x = 3

d)

x ≠ 3

37.

9x - 3 > 6

a)

x > 1

b)

x < 1

c)

x ≥ 1

d)

x = 1

38.

The keywords "not equal to" are used with which of the following symbols?

a)

≠

b)

≤

c)

>

d)

<

39.

Solve and graph.
p - 3 > -8

a)

A

b)

B

c)

C

d)

D

40.

Solve and graph.
k - 13 > -51

a)

A

b)

B

c)

C

d)

D

41.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

42.

Solve. 4x - 4 > 8

a)

x > 6

b)

x > 48

c)

x > 1

d)

x > 3

43.

Solve. 3x + 2 > 14

a)

x > 4

b)

x > 36

c)

x > 5 1/3

d)

x > 48

44.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

45.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

46.

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

47.

x is no more than 13

a)

x < 13

b)

x > 13

c)

x ≥ 13

d)

x ≤ 13

48.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

49.

Which scenario could be represented by the graph?

a)

The temperature is less than -1 degree.

b)

The temperature is more than -1 degree.

c)

The temperature is at most -1 degree.

d)

The temperature is at least -1 degree.

50.

You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?

a)

x<10

b)

x>10

c)

x>10

d)

x<10

51.

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

2 > f

a)

open circle

b)

closed circle

52.

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

"Kelsey has at most 10 dollars"

a)

open circle

b)

closed circle

53.

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

"Alex will spend less than 35 minutes playing video games"

a)

open circle

b)

closed circle

54.

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?

a)

$520x+6\le1000$

b)

$520+6x\ge1000$

c)

$520x+6\ge1000$

d)

$520+6x\le1000$

55.

Ann wants to spend at most $8.50 on school supplies. She needs to purchase a binder (costs $6.89) and wants to spend the rest on pens, which cost $0.59 each. Which inequality represents this situation, where x is the number of pens Ann can buy?

a)

$6.89+8.50x\le0.59$

b)

$8.50+0.59x\le6.89$

c)

$0.59+6.89x\le8.50$

d)

$6.89+0.59x\le8.50$

56.

Wes wants to spend under $15 on lunch. He decides to buy pizza slices, which cost $2.50 each and a two liter soda which costs $1.75. Which inequality represents this situation?

a)

$15>2.50x+1.75$

b)

$15\le2.50x+1.75$

c)

$15\ge2.50+1.75x$

d)

$15<2.50+1.75x$

57.

Adam works at a video game store Mon-Fri. He earns $80 per day plus $8 per video game sold. On Thursday, he makes at least $176. Which inequality represents this situation?

a)

$176\ge80+8x$

b)

$176\le80x+8$

c)

$80+8x\ge176$

d)

$80x+8\le176$

Inequalities REVIEW

Total questions: 57

Worksheet time: 3hrs 46mins

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