Solving Inequalities: Real-Life Applications for Grade 8

1. A store sells notebooks for $3 each. If you want to buy at least 5 notebooks, what is the maximum amount of money you can spend? Write and solve the inequality.

• $10

• $20

• $15

• $5

2. A class is planning a field trip. The cost per student is $15, and they need to raise at least $300. Write an inequality to represent the number of students needed to raise this amount and solve it.

• x ≥ 20

• x ≤ 15

• x > 25

• x < 20

3. A gym charges a monthly fee of $25 plus $10 for each class attended. If you want to spend no more than $75 in a month, how many classes can you attend? Write and solve the inequality.

• 3

• 10

• 5

• 7

4. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you want to keep your total cost under $100, how many miles can you drive? Write and solve the inequality.

• 200

• 300

• 249

• 150

5. A gardener is planting flowers in a rectangular garden. The length must be at least 2 feet longer than the width, and the total area must be less than 50 square feet. Write and solve the inequality for the dimensions of the garden.

• 0 < w < 10 (width), 2 < length < 12 (length)

• 0 < w < 7 (width), 2 < length < 9 (length)

• 0 < w < 8 (width), 2 < length < 10 (length)

• 0 < w < 5 (width), 2 < length < 6 (length)

6. A student has $40 to spend on snacks for a party. If each snack costs $2, how many snacks can the student buy? Write and solve the inequality.

• 30

• 15

• 25

• 20

7. A concert venue has a seating capacity of 500. If tickets are sold for $20 each, how many tickets must be sold to make at least $8,000? Write and solve the inequality.

• 300

• 450

• 600

• 400

8. A recipe requires at least 3 cups of flour and no more than 5 cups. If you already have 1 cup, how many more cups can you buy? Write and solve the inequality.

• You can buy 1 more cup of flour.

• You can buy 0 more cups of flour.

• You can buy between 2 and 4 more cups of flour.

• You can buy 5 more cups of flour.

9. A bike shop sells helmets for $25 each. If you want to buy at least 4 helmets and spend no more than $120, what is the maximum number of helmets you can buy? Write and solve the inequality.

• 4

• 2

• 3

• 5

10. A school is collecting cans for a food drive. They want to collect at least 200 cans, and each class can collect a maximum of 30 cans. How many classes need to participate? Write and solve the inequality.

• 12

• 7

• 5

• 10