Free Printable Inequality Word problems

1.

Write an inequality:
Twenty-two more than four times a number is less than 82.

a)

22 + 4n ≤ 82

b)

22 + 4n > 82

c)

82 + 22n ≥ 4

d)

22 + 4n < 82

2.

Solve the inequality:

22 + 4n < 82

a)

n < 15

b)

n > 15

c)

n > 26

d)

n < 26

3.

What is the correct inequality for this statement? x is at most 30

a)

x < 30

b)

x > 30

c)

x $\le$ 30

d)

x $\ge$ 30

4.

What is the correct inequality for this situation? 7x is at least 14

a)

7x > 14

b)

7x $\ge$ 14

c)

7x < 14

d)

7x $\le$ 14

5.

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)

$6.89+0.59x\le8.50$

6.

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.

Solve the inequality:

6.89 + 0.59x < 8.50

a)

x < 2.73

b)

x > 2.73

c)

x < 1.15

d)

x > 1.15

7.

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.

Answer: x < 2.73

How many pens can Ann buy?

a)

1 pen

b)

2 pens

c)

3 pens

d)

2.73 pens

8.

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)

$520+6x\le1000$

9.

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.

Solve the inequality:

520 + 6x > 1000

a)

x > 80

b)

x < 80

c)

x > 1.9

d)

x < 1.9

10.

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.

Answer: x > 80

How many signatures does he need to collect each week?

a)

79 or more

b)

80 or more

c)

81 or more

d)

80 or less

11.

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. How many cups of lemonade does Stacy need to sell to have more than $150 in her savings account?

a)

63

b)

125

c)

250

d)

300

12.

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. What is the maximum number of pizza slices Wes can buy?

a)

6

b)

5

c)

4

d)

3

Inequality Word problems

Total questions: 12

Worksheet time: 3hrs 0mins

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