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Inequality Word Problems

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

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≤1000520x+6\le1000  

b)

 520+6x≥1000520+6x\ge1000  

c)

 520x+6≥1000520x+6\ge1000  

d)

 520+6x≤1000520+6x\le1000  

2.

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 solution represents how many signatures Jo needs each week?

a)

x≥80x\ge80

b)

x≥2x\ge2

c)

x≤80x\le80

d)

x≤2x\le2

3.

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≤0.596.89+8.50x\le0.59  

b)

 8.50+0.59x≤6.898.50+0.59x\le6.89  

c)

 0.59+6.89x≤8.500.59+6.89x\le8.50  

d)

 6.89+0.59x≤8.506.89+0.59x\le8.50  

4.

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. What is the greatest amount of pens can Ann buy?

a)

3

b)

2.7

c)

2

d)

1.15

5.

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+1.7515>2.50x+1.75  

b)

 15≤2.50x+1.7515\le2.50x+1.75  

c)

 15≥2.50+1.75x15\ge2.50+1.75x  

d)

 15<2.50+1.75x15<2.50+1.75x  

6.

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

7.

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≥15025+0.50x\ge150

b)

25x+0.50>15025x+0.50>150

c)

25x+0.50≥15025x+0.50\ge150

d)

25+0.50x>15025+0.50x>150

8.

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 reach a minimum of $150 in her savings account?

a)

63

b)

125

c)

250

d)

300

9.

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≥80+8x176\ge80+8x

b)

176≤80x+8176\le80x+8

c)

80+8x≥17680+8x\ge176

d)

80x+8≤17680x+8\le176

10.

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 solution represents the possible number of video games Adam sold?

a)

x≥12x\ge12

b)

x≥22x\ge22

c)

x≤12x\le12

d)

x≤2x\le2