Free Printable Inequality Word Problems (Introduction)

1.

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

a)

<

b)

>

c)

≤

d)

≥

2.

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

a)

<

b)

>

c)

≤

d)

≥

3.

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

a)

<

b)

>

c)

≤

d)

≥

4.

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

a)

<

b)

>

c)

≤

d)

≥

5.

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

6.

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

7.

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

8.

Lea 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

9.

Stacy, a 10 year old girl, has $25 in her savings account. She is selling lemonade for $0.50. How many cups of lemonade does Stacy need to sell to reach a minimum of $150 in her savings account?

Using the CUBES Strategy, what are the key numbers in this problem? Select ALL that apply.

a)

0.50

b)

10

c)

25

d)

150

10.

Stacy, a 10 year old girl, has $25 in her savings account. She is selling lemonade for $0.50. How many cups of lemonade does Stacy need to sell to reach a minimum of $150 in her savings account?

What variable needs to be defined?

a)

girl

b)

dollars

c)

cups of lemonade

d)

savings account

11.

Stacy, a 10 year old girl, has $25 in her savings account. She is selling lemonade for $0.50. How many cups of lemonade does Stacy need to sell to reach a minimum of $150 in her savings account?

Which inequality symbol will be used to solve this problem?

a)

$<$

b)

$>$

c)

$\le$

d)

$\ge$

12.

Adam, a 12th grader, has been working at a video game store for 5 weeks. He earns $80 per day plus $8 per video game sold. Today, how many video games does he need to sell to have more than $176.

Using the CUBES Strategy, what are the key numbers in this problem? Select ALL that apply.

a)

5

b)

8

c)

12

d)

80

e)

176

13.

Adam, a 12th grader, has been working at a video game store for 5 weeks. He earns $80 per day plus $8 per video game sold. Today, how many video games does he need to sell to have more than $176.

Which variable needs to be defined?

a)

12th grader

b)

days

c)

video games

d)

dollars

14.

Adam, a 12th grader, has been working at a video game store for 5 weeks. He earns $80 per day plus $8 per video game sold. Today, how many video games does he need to sell to have more than $176.

Which inequality symbol will be used to solve this problem?

a)

$<$

b)

$>$

c)

$\le$

d)

$\ge$

15.

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?

What variable needs to be defined?

a)

pet supplies

b)

bags of dog food

c)

dollars

d)

stores

16.

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?

Which inequality symbol will be used to solve this problem?

a)

$<$

b)

$>$

c)

$\le$

d)

$\ge$

17.

Which inequality is represented by the word " minimum"?

a)

<

b)

>

c)

≤

d)

≥

18.

Which inequality is represented by the words " no smaller than"?

a)

<

b)

>

c)

≤

d)

≥

19.

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

a)

<

b)

>

c)

≤

d)

≥

20.

A 32 year old limo driver needs to make more than $450 in one day. To rent his 2020 Stretch Hummer, he charges a rental fee of $375 and $0.85 per mile. How many miles would he have to drive to reach his goal?

Using the CUBES Strategy, what are the key numbers in this problem?

a)

0.85

b)

32

c)

375

d)

450

e)

2020

21.

A 32 year old limo driver needs to make more than $450 in one day. To rent his 2020 Stretch Hummer, he charges a rental fee of $375 and $0.85 per mile. How many miles would he have to drive to reach his goal?

What inequality symbol is needed to solve this problem?

a)

$<$

b)

$>$

c)

$\le$

d)

$\ge$

22.

A 32 year old limo driver needs to make more than $450 in one day. To rent his 2020 Stretch Hummer, he charges a rental fee of $375 and $0.85 per mile. How many miles would he have to drive to reach his goal?

What variable needs to be defined?

a)

dollars

b)

miles

c)

limo

d)

driver

23.

Joan 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. How many hours she will need to babysit in order for her to have no more than $100?

What variable needs to be defined?

a)

calculator

b)

dollars

c)

hours

d)

babies

24.

Joan needed 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. How many hours she will need to babysit to have no more than $100?

Which inequality symbol is needed to solve this problem?

a)

$<$

b)

$>$

c)

$\le$

d)

$\ge$

25.

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

Inequality Word Problems (Introduction)

Total questions: 25

Worksheet time: 43mins

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