Real-Life Inequalities: Solve & Graph for 7th Graders

1. Sarah has $50. She wants to buy some books that cost $8 each. Write and solve an inequality to find out how many books she can buy.

• 6

• 5

• 7

• 8

2. A school is planning a field trip and needs at least 30 students to sign up. If 12 students have already signed up, write and solve an inequality to find out how many more students need to sign up.

• 20

• 25

• 15

• 18

3. A concert hall has a seating capacity of 200. If 75 tickets have been sold, write and solve an inequality to determine how many more tickets can be sold without exceeding capacity.

• 100

• 125

• 150

• 200

4. Tom is saving money to buy a new bike that costs $150. If he currently has $45, write and solve an inequality to find out how much more money he needs to save.

• Tom needs to save $150 more.

• Tom needs to save at least $75 more.

• Tom needs to save $120 more.

• Tom needs to save at least $105 more.

5. A recipe requires at least 3 cups of flour. If you already have 1.5 cups, write and solve an inequality to find out how many more cups you need to buy.

• You need to buy at least 3 cups of flour.

• You need to buy at least 2 cups of flour.

• You need to buy at least 1.5 cups of flour.

• You need to buy at least 0.5 cups of flour.

6. A gym requires a minimum of 15 members to open a new class. If there are currently 10 members, write and solve an inequality to find out how many more members are needed.

• 7

• 3

• 5

• 10

7. A farmer has 120 apples and wants to pack them into boxes that hold 15 apples each. Write and solve an inequality to find out how many boxes he can fill without exceeding the number of apples.

• 12

• 10

• 8

• 6

8. A movie theater has 250 seats. If 180 tickets have been sold, write and solve an inequality to determine how many more tickets can be sold before the theater is full.

• 60

• 80

• 70

• 90

9. Lisa wants to run at least 5 miles each week. If she has already run 2 miles, write and solve an inequality to find out how many more miles she needs to run this week.

• 3

• 4

• 1

• 6

10. A store is having a sale and can only accommodate 100 customers at a time. If there are currently 65 customers in the store, write and solve an inequality to find out how many more customers can enter.

• 15

• 25

• 50

• 35