7th Grade Equations & Inequalities: Solve & Evaluate!

1. Sarah has x apples. If she buys 5 more apples, she will have at least 15 apples. Write an inequality to represent this situation and find the minimum number of apples Sarah originally had.

• 15

• 10

• 8

• 12

2. A movie theater charges $8 per ticket. If a group of friends wants to spend no more than $50 on tickets, write an inequality to represent the maximum number of tickets they can buy. How many tickets can they purchase?

• 8

• 7

• 6

• 5

3. The length of a rectangle is 3 times its width. If the perimeter of the rectangle is 48 cm, write an equation to find the width of the rectangle. What is the width?

• 4 cm

• 8 cm

• 6 cm

• 10 cm

4. A school is planning a field trip and has a budget of $300. If each student pays $15, write an inequality to determine how many students can attend without exceeding the budget. What is the maximum number of students?

• 30

• 15

• 20

• 25

5. Tom is saving money to buy a video game that costs $60. If he saves $x each week, write an equation to find out how many weeks it will take him to save enough money. How many weeks will it take if he saves $10 per week?

• 6 weeks

• 8 weeks

• 4 weeks

• 10 weeks

6. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, write an inequality to find the maximum number of miles they can drive. How many miles can they drive?

• 250 miles

• 300 miles

• 150 miles

• 200 miles

7. The sum of a number y and 12 is less than 30. Write an inequality to represent this situation and find the possible values for y.

• y ≤ 18

• y + 12 < 30

• y < 18

• y > 18

8. A baker makes x cookies and sells them for $2 each. If he wants to earn at least $50, write an inequality to find the minimum number of cookies he needs to sell. How many cookies must he sell?

• 30

• 20

• 25

• 15

9. A swimming pool can hold a maximum of 500 gallons of water. If it currently has x gallons, write an inequality to represent how much more water can be added. What is the maximum amount of water that can still be added if there are currently 300 gallons in the pool?

• 200 gallons

• 150 gallons

• 250 gallons

• 100 gallons

10. A store is having a sale where each shirt costs $15. If a customer has $100 to spend, write an inequality to determine how many shirts they can buy. What is the maximum number of shirts they can purchase?

• 6

• 5

• 8

• 7