Real-Life Inequalities: Write and Interpret Scenarios

A bakery sells cupcakes for $2 each. If you want to spend no more than $20 on cupcakes, write an inequality to represent this situation.

• x + 2 ≤ 20

• 2x < 20

• x ≤ 10

• 2x ≤ 20

Maria has $50 to spend on books. Each book costs $8. Write an inequality to show how many books she can buy without exceeding her budget.

• b = 5

• b >= 7

• b <= 6

• b < 6

A school is planning a field trip and needs at least 30 students to sign up. If 15 students have already signed up, write an inequality to represent how many more students need to sign up.

• x >= 15

• x <= 15

• x > 15

• x < 15

Tom is saving money to buy a video game that costs $60. If he currently has $25, write an inequality to show how much more money he needs to save.

• x > 35

• x <= 35

• x >= 35

• x < 35

A concert hall has a seating capacity of 500. If 350 tickets have already been sold, write an inequality to represent how many more tickets can be sold without exceeding capacity.

• x < 150

• x = 350

• x ≤ 150

• x ≥ 150

A farmer has 120 apples and wants to pack them into bags of 10 apples each. Write an inequality to show how many bags he can fill without running out of apples.

• b <= 12

• 10b < 120

• b >= 12

• 10b <= 120

Lisa is training for a marathon and wants to run at least 15 miles each week. If she has already run 5 miles this week, write an inequality to represent how many more miles she needs to run.

• x < 10

• x >= 10

• x <= 15

• x > 5

A movie theater charges $10 per ticket. If a group of friends wants to spend no more than $80 on tickets, write an inequality to represent how many tickets they can buy.

• x ≤ 10

• x ≤ 5

• x < 8

• x ≤ 8

A gym has a limit of 200 members. If there are currently 150 members, write an inequality to show how many more members can join without exceeding the limit.

• x ≤ 50

• x > 50

• x < 50

• x ≥ 50

A charity event aims to raise at least $1,000. If they have already raised $600, write an inequality to represent how much more money they need to raise.

• x < 400

• x >= 400

• x > 400

• x <= 400