Real-Life Inequalities: Solve and Interpret Challenges

1. Sarah has at least 50 stickers. If she buys 12 more, how many stickers will she have? Write an inequality to represent this situation.

• s + 12 = 50

• s + 12 < 50

• s + 12 > 62

• s + 12 >= 62

2. A movie theater has a seating capacity of 200. If there are already 150 tickets sold, how many more tickets can be sold? Write an inequality to show this.

• 75

• 25

• 100

• 50

3. Tom needs to save at least $100 for a video game. If he currently has $45, how much more does he need to save? Write an inequality to represent this.

• Tom needs to save at least $55 more.

• Tom needs to save at least $75 more.

• Tom needs to save at least $100 more.

• Tom needs to save at least $30 more.

4. A school is planning a field trip and needs at least 30 students to sign up. If 22 students have signed up, how many more are needed? Write an inequality to express this.

• 12

• 8

• 5

• 15

5. Lisa is making gift bags and wants to include at least 5 candies in each bag. If she has 30 candies, how many bags can she make? Write an inequality to represent this.

• b ≥ 7

• b = 6

• b ≤ 6

• b ≤ 5

6. A pet store has a limit of 10 pets per customer. If one customer has already adopted 3 pets, how many more can they adopt? Write an inequality to show this.

• 10

• 7

• 8

• 5

7. A recipe requires at least 2 cups of flour. If you have 1.5 cups, how much more do you need? Write an inequality to represent this situation.

• x = 1.5

• x >= 0.5

• x <= 1.0

• x < 0.5

8. A runner wants to complete a race in under 30 minutes. If they have already run for 18 minutes, how much time do they have left? Write an inequality to express this.

• x < 12

• x > 12

• x >= 12

• x <= 12

9. A library has a goal of having at least 500 books. If they currently have 450 books, how many more do they need? Write an inequality to represent this.

• 100

• 30

• 50

• 75

10. A gardener wants to plant at least 20 flowers. If they have already planted 15, how many more do they need to plant? Write an inequality to express this.

• x < 5

• x = 5

• x >= 5

• x <= 5