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- 1. Multiple Choice
Jasmine has a budget of $600.00 to spend on home renovations. She will spend $175.00 on a new sink and the remainder on countertops. The countertops cost $35 per square foot. What is the maximum number of square feet Jasmine can purchase?
35x + 175 ≤ 600
35x + 175 ≥ 600
x ≥ 12.14
x ≤ 12.14
- 2. Multiple Choice
Hayden earns $9.50 per hour as a lifeguard. He earns a bonus of $50.00 for taking a training course. How many hours must he work to earn at least $300.00?
x ≥ 26.32
50x + 9.5 ≥ 300
9.5x + 50 ≥ 300
x ≥ 5.81
- 3. Multiple Choice
Russell wants to buy three ties and a belt and must spend no more than $80.00. The belt costs $28.50. If the three ties are the same price, then how much can he pay for each tie?
x ≤ 2.7
x ≤ 17.17
3x + 28.50 ≤ 80
28.50x + 3 ≤ 80
- 4. Multiple Choice
An online music service charges a $12.00 registration fee plus $1.50 for each song downloaded. If Mary Beth has a gift card with $60.00, then how many songs can she download?
1.50x + 12 ≤ 60
12x + 1.50 ≤ 60
x ≤ 32
x ≤ 4.88
- 5. Multiple Choice
Megan is saving up to buy a new cell phone that costs $220.00. So far she has saved $175.00. Megan would like to buy the cell phone in four weeks. Write and solve an inequality to represent at least how much she must save every week to purchase the cell phone.
4x + 175 ≥ 220
4x + 175 ≤ 220
x ≤ $11.25
x ≥ $11.25
- 6. Multiple Choice
A warehouse holds 460 boxes. They ship out 65 boxes each week. After how many weeks will they have less than 100 boxes remaining? Write and solve an inequality that can be used to determine how many weeks it will take for the warehouse to have less than 100 boxes.
x < -5.54 weeks
x > 5.54 weeks
460 - 65x < 100
65x + 460 < 100
- 7. Multiple Choice
A 15-passenger van is rented for a family vacation. The van rental is $60.00 per day, plus a $145.00 insurance fee. How many days can the van be rented if they want to spend no more than $625.00 on the van rental? Write and solve an inequality.
x ≤ 8 days
x ≤ 4 days
145x + 60 ≤ 625
60x + 145 ≤ 625
- 8. Multiple ChoiceSolve the following inequality:
-4x + 14 ≤ 54x ≥ -10x ≤ -10x ≥ 10x ≤ 10 - 9. Multiple ChoiceTo qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.X < 5X > 5X ≥ 5X ≤ 5
- 10. Multiple ChoiceTo order from the kids menu a person must be no more than 12 years old.x > 12x < 12x ≥ 12x ≤ 12
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