Solving Real-World Inequalities: 7th Grade Challenges

1. Sarah has $50 to spend on school supplies. If each notebook costs $5, how many notebooks can she buy? Write an inequality to represent this situation.

• n >= 10

• n <= 10

• n < 10

• n = 5

2. A movie theater has a seating capacity of 200. If 150 tickets have been sold, how many more tickets can be sold without exceeding the capacity? Write an inequality to express this.

• 50

• 25

• 75

• 100

3. A gym charges a monthly fee of $30. If you want to spend no more than $300 on gym fees, how many months can you afford to pay? Write an inequality to show this.

• 10 months

• 12 months

• 15 months

• 5 months

4. A farmer has 120 apples and wants to pack them into boxes that hold 8 apples each. How many boxes can he fill without exceeding the number of apples? Write an inequality to represent this.

• 12

• 20

• 10

• 15

5. A school is planning a field trip and has a budget of $1,200. If each student ticket costs $15, how many students can go on the trip? Write an inequality to express this situation.

• x ≤ 75

• x ≤ 60

• x ≤ 80

• x ≤ 100

6. A car can travel 30 miles per gallon of gas. If you have 10 gallons of gas, what is the maximum distance you can travel? Write an inequality to represent this scenario.

• 200 miles

• 250 miles

• 150 miles

• 300 miles

7. A baker has 200 cookies and wants to package them in boxes of 12. How many full boxes can he create? Write an inequality to show this relationship.

• 18

• 16

• 15

• 20

8. A concert venue can hold a maximum of 500 people. If 350 tickets have been sold, how many more tickets can be sold? Write an inequality to express this situation.

• 200

• 400

• 150

• 100

9. A student has a goal of reading at least 20 books this year. If they have read 12 books so far, how many more do they need to read? Write an inequality to represent this.

• 6

• 10

• 5

• 8

10. A pet store has 75 fish in stock. If they sell 5 fish each day, how many days can they continue selling fish before running out? Write an inequality to express this situation.

• 10

• 20

• 15

• 5