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Inequalities word problems A.5

Total questions: 10

Worksheet time: 17mins

Name
Class
Date
1.
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
2.
Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.
a)
30 + 20x < 15 + 30x
b)
30x + 20 < 15x + 30
c)
30 + 20x > 15 + 30x
d)
30x + 20 > 15x + 30
3.
Ken has $264 in his bank account.  He needs to deposit enough money to make his car payment of $189 and still have at least $150 left in his account.  Which inequality describes d, the amount of money Ken needs to deposit?
a)
264 + 189 + d ≥150
b)
d(264 - 189) ≥ 150
c)
264 - 189 + d ≥ 150
d)
d - 189 ≥150
4.

Camie and Jorge each begin saving money for a new computer. Camie saves $5 per week plus $50 she receives for her birthday. Jorge saves $7 per week. Which of the following can be used to find w, the number of weeks until Jorge has saved at least the same amount as Camie?

a)

7w = 5w+50

b)

50+5w < 7w

c)

5w+50 ≥ 7w

d)

7w ≥ 5w+50

5.

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)

x80x\ge80

b)

x2x\ge2

c)

x80x\le80

d)

x2x\le2

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

a)

3

b)

2.7

c)

2

d)

1.15

7.

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)

152.50x+1.7515\le2.50x+1.75  

c)

152.50+1.75x15\ge2.50+1.75x  

d)

15<2.50+1.75x15<2.50+1.75x  

8.

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50 a cup. 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. On Thursday he earns $80 for the day plus $8 per video game sold. If he makes at least $176. Which solution represents the possible number of video games Adam sold on Thursday?

a)

x12x\ge12

b)

x22x\ge22

c)

x12x\le12

d)

x2x\le2

10.

Which word problem represents the inequality:

x + 32 ≥ 80

(Show work by writing down inequality clue words.)

a)

Janine's goal is to earn at least $80 for soccer camp. She has earned $32 so far. How much more does she need to earn?

b)

Janine made more than 80 points during the basketball season. She made 32 points the first five games. How much did she score the rest of the games?

c)

Janine scored above an 80 on her math homework. But, she turned her work in late and was deducted 32 points. What did she make after the deduction?