Free Printable Inequalities Review

1.

2x > 12

a)

x > 6

b)

x < 6

c)

x ≥ 6

d)

x ≤ 6

2.

When do you use a closed circle on a graph for an inequality?

a)

When it is ≥ or ≤

b)

When it is > or <

c)

When the number in front of the variable is negative

d)

When it is only =

3.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

4.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

5.

Which inequality symbol represents the statement.
Less Than

a)

>

b)

≤

c)

≥

d)

<

6.

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

7.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

8.

Which inequality represents the below statement. I can have no more than 10 pieces of candy.

a)

x ≥ 10

b)

x > 10

c)

x ≤ 10

d)

x < 10

9.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

10.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

11.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

12.

Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

What is the least number of cars she can wash to buy the headphones?

Write the inequality to the problem.

a)

14x+30 ≥ 240

b)

14x+30 ≤ 240

c)

30x+14 ≥ 240

d)

30x+14 ≤ 240

13.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

14.

6(n + 2) < -72

a)

n < -14

b)

n < 35/3

c)

n < -10

d)

n > -14

15.

6x + 10 > 5x - 12

a)

x > 2

b)

x < -2

c)

x < -22

d)

x > -22

16.

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

17.

Graph the solution set of the inequality.

–4n + 1 > –23

a)

b)

c)

d)

18.

Solve.

a)

a > -24

b)

a > 6

c)

a > -36

d)

a > -10

19.

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding?

a)

30 + s ≥ 45

b)

30 - s ≥ 45

c)

30 + s ≤ 45

d)

30 - s ≤ 45

20.

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 5

d)

a < -5

21.

Solve:
2x + 5 < 3x - 6

a)

x < 11

b)

x > 11

c)

x > -11

d)

x < -11

22.

$-4\left(x+3\right)\ge3\left(x-4\right)$

a)

$x\ge0$

b)

No Solution

c)

$x\le0$

d)

Many Solutions

23.

$-2\left(5+6x\right)<6\left(8-2x\right)$

a)

$x<48$

b)

Many Solutions

c)

$x>-10$

d)

No Solution

24.

$3\left(1-2x\right)>3-6x$

a)

Many Solutions

b)

$x>3$

c)

No Solution

d)

$x<3$

25.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

26.

What is the solution set for 10 < 3x + 19

a)

{-4, -3, -2...}

b)

{-9, -8, -7...}

c)

{-3, -2, -1...}

d)

{-2, -1, 0...}

27.

You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping.

a)

X > 5.05

b)

X ≥ 5. 05

c)

X > 69.95

d)

X ≥ 69.95

28.

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

a)

6x + 8 ≥ 42

b)

8x + 6 ≤ 42

c)

6x + 8 > 42

d)

8x + 6 < 42

29.

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

30.

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. Which represents an amount that will require the bank to send a notice?

a)

$18

b)

$19

c)

$20

d)

$21

e)

$22

31.

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

32.

4(2a + 3) < 3(a - 1)

a)

a < -3

b)

a > -3

c)

a < 3

d)

a > 3

33.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

34.

Solve

a)

p ≤ -12

b)

p ≥ -12

c)

p ≤ 20

d)

p ≥ 20

35.

a)

s > -25/3

b)

s > -10.6

c)

s > -12

d)

s < 16

36.

a)

a ≥ 4

b)

a ≥ -4

c)

a ≤ -4

d)

No solution

37.

$\frac{2x-6}{-2}\ge-10$

a)

$x\le-7$

b)

$x\ge-7$

c)

$x\le13$

d)

$x\ge13$

38.

$2h+11>-7+4h-16$

a)

$h<17$

b)

$h<6$

c)

$h>-17$

d)

$h>-6$

39.

Ms. Hernandez is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $7 for each child ticket. Ms. Hernandez does not want to spend more than $40. Which inequality can be used to find c, the number of child tickets Ms. Hernandez can purchase?

a)

7 + 10c > 40

b)

10c – 7 ≤ 40

c)

10 + 7c > 40

d)

10 + 7c ≤ 40

40.

Solve the following inequality:

$3x-7x+2<10-12$

a)

x > -2

b)

x > 1

c)

x > 3

d)

x < 4

41.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

42.

Solve:

a)

x < 24

b)

x < 3

c)

x > 24

d)

x < 10.3333....

43.

-4(5x + 3) - 6x > 11 - 3x

a)

x < -1

b)

x < -7

c)

x < 5

d)

x > 4

e)

x > 3

44.

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)

$6.89+0.59x\le8.50$

45.

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)

$520+6x\le1000$

46.

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)

$15<2.50+1.75x$

47.

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have a minimum of $150 in her account. Which inequality represents this situation?

a)

$25+0.50x\ge150$

b)

$25x+0.50>150$

c)

$25x+0.50\ge150$

d)

$25+0.50x>150$

48.

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding?

a)

30 + s ≥ 45

b)

30 - s ≥ 45

c)

30 + s ≤ 45

d)

30 - s ≤ 45

49.

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

a)

A

b)

B

c)

C

d)

D

Inequalities Review

Total questions: 49

Worksheet time: 3hrs 54mins

Similar Resources on Wayground