Real-Life Inequalities: Solve & Combine for Grade 6

1. Sarah has 3 more than twice the number of apples that Tom has. If Tom has x apples, write an inequality to represent how many apples Sarah has.

• S = 2x - 3

• S = x + 3

• S = 3x + 2

• S = 2x + 3

2. A school is planning a field trip and needs at least 50 students to sign up. If 20 students have already signed up, write an inequality to find out how many more students need to sign up.

• x > 50

• x >= 30

• x < 30

• x <= 20

3. A movie theater has a seating capacity of 200. If they have sold 75 tickets, write an inequality to show how many more tickets can be sold.

• x < 125

• x > 75

• x <= 125

• x >= 200

4. Jamie is saving money to buy a new bike that costs $150. If she currently has $50 and saves $10 each week, write an inequality to determine how many weeks it will take her to save enough money.

• w >= 10

• w = 10

• w < 10

• w <= 10

5. A gardener has 30 plants and wants to plant them in rows. If he wants at least 5 plants in each row, write an inequality to find out how many rows he can plant.

• r <= 6

• r < 5

• r >= 7

• r = 6

6. A book club has a goal of reading at least 100 books this year. If they have read 45 books so far, write an inequality to find out how many more books they need to read.

• x ≤ 45

• x = 60

• x < 55

• x ≥ 55

7. A pizza shop sells large pizzas for $12 each. If they want to make at least $300 in a day, write an inequality to find out how many pizzas they need to sell.

• 12x >= 300

• 12x < 300

• x <= 25

• 12x > 300

8. A runner wants to complete a marathon in under 4 hours. If she has already run for 2 hours, write an inequality to represent how much time she has left to finish the marathon.

• t ≤ 2

• t > 2

• t = 2

• t < 2

9. A store has a sale where you can buy 3 shirts for $15. If you want to spend no more than $60, write an inequality to find out how many shirts you can buy.

• x > 10

• x ≤ 15

• x ≤ 12

• x < 12

10. A class is collecting cans for a food drive. They want to collect at least 200 cans. If they have collected 120 cans so far, write an inequality to find out how many more cans they need to collect.

• x < 80

• x ≤ 80

• x > 80

• x ≥ 80