Free Printable Inequality Word Problems

1.

Addie saved more than $36. Which inequality represents the amount that she saved?

a)

s > 36

b)

s < 36

c)

s ≤ 36

d)

s ≥ 36

2.

To order from the kids menu a person must be no more than 12 years old.

a)

x > 12

b)

x < 12

c)

x ≥ 12

d)

x ≤ 12

3.

A student must be at least 15 years old to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

4.

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

a)

15h ≤ 105

b)

15h > 105

c)

15h < 105

d)

15h ≥ 105

5.

Which inequality is represented by the words " at least"?

a)

<

b)

>

c)

≤

d)

≥

6.

Which inequality is represented by the words " more than"?

a)

<

b)

>

c)

≤

d)

≥

7.

Which inequality is represented by the words " no more than" or "at most"?

a)

<

b)

>

c)

≤

d)

≥

8.

Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks.

Which inequality could help you find how many dogs Katie would have to walk to reach her goal?

a)

25 - 12x ≥ 200

b)

25 + 12x ≥ 200

c)

13x ≥ 200

d)

25 + 12x < 200

9.

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 plus $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

10.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn.

Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

11.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour but offers a $55 discount for clients who pay ahead of time.

The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance if the committee pays ahead of time?

a)

125x + 55 < 600

b)

125x - 55 > 600

c)

125x + 55 > 600

d)

125x - 55 < 600

12.

6. Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?

a)

x/5.50 ≥ 5225

b)

5.50x ≥ 5225

c)

x + 5.50 ≤ 5225

d)

x - 5.50 ≤ 5225

13.

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

14.

Todd caught at least three times as many fish this year than last year. He caught 63 fish this year. Which inequality represents how many fish he caught last year?

a)

3y > 63

b)

3y < 63

c)

3y ≤ 63

d)

3y ≥ 63

15.

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)

$6.89+0.59x\le8.50$

16.

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)

$25+0.50x>150$

17.

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)

$80x+8\le176$

Inequality Word Problems

Total questions: 17

Worksheet time: 2hrs 47mins

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