Exploring Inequalities: Real-Life Problems for 7th Graders

1. Sarah has at least 50 stickers. If she gives away 12 stickers, how many stickers does she have left? Write an inequality to represent this situation.

• S - 12 < 38

• S - 12 >= 38

• S - 12 > 62

• S - 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 express this.

• 75

• 50

• 100

• 25

3. Tom needs to score more than 75% on his math test to pass. If the test has 40 questions, how many questions must he answer correctly? Write an inequality to find the answer.

• 35

• 31

• 25

• 30

4. A store is having a sale where items are discounted to no less than $20. If an item originally costs $30, what is the maximum discount allowed? Write an inequality to represent this.

• 25

• 15

• 10

• 5

5. Lisa wants to save at least $100 for a new bike. If she currently has $45, how much more does she need to save? Write an inequality to show this situation.

• Lisa needs to save at least $55 more.

• Lisa needs to save at least $50 more.

• Lisa needs to save at least $75 more.

• Lisa needs to save at least $65 more.

7. A school requires that students must be at least 12 years old to join the soccer team. If a student is currently 10 years old, how many more years must they wait? Write an inequality to express this.

• 4 years

• 1 year

• 2 years

• 3 years

8. A runner wants to complete a marathon in less than 4 hours. If they have already run for 2 hours, how much time do they have left? Write an inequality to represent this.

• x < 3

• x = 2

• x < 2

• x > 2

10. A plant needs at least 6 hours of sunlight each day. If it currently receives 4 hours, how many more hours of sunlight does it need? Write an inequality to represent this.

• The plant needs at least 2 more hours of sunlight.

• The plant needs 3 more hours of sunlight.

• The plant needs 4 more hours of sunlight.

• The plant needs 1 more hour of sunlight.