Real-Life Inequalities: Solving Everyday Scenarios

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.

• x + 12 < 50

• x + 12 > 62

• x + 12 >= 62

• x + 12 = 50

2. A movie theater has a maximum capacity of 200 people. If there are currently 150 people in the theater, how many more can enter? Write an inequality to show this.

• 100

• 25

• 50

• 75

3. Tom needs to save at least $100 for a video game. If he already 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 $30 more.

• Tom needs to save at least $75 more.

• Tom needs to save at least $100 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.

• 15

• 5

• 12

• 8

5. A pet store has a limit of 15 dogs for adoption. If there are currently 10 dogs available, how many more can they take in? Write an inequality to illustrate this.

• 3

• 5

• 10

• 7

6. Lisa wants to read at least 5 books this month. If she has read 2 books so far, how many more does she need to read? Write an inequality to represent this situation.

• x ≥ 3

• x > 5

• x = 4

• x ≤ 2

7. A farmer has at least 100 apples. If he sells 30, how many apples does he have left? Write an inequality to show this.

• x - 30 = 100

• x - 30 > 100

• x - 30 <= 70

• x - 30 >= 70

8. A gym can accommodate a maximum of 50 members in a class. If there are currently 35 members, how many more can join? Write an inequality to express this.

• 10

• 15

• 20

• 25

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

• 70

• 60

• 50

• 40

10. A concert venue can hold a maximum of 300 people. If there are already 250 tickets sold, how many more can be sold? Write an inequality to show this.

• 50

• 30

• 75

• 100