Real-Life Inequalities: Solving & Graphing Challenges

A store sells notebooks for $2 each. If you have $20, how many notebooks can you buy? Write and solve the inequality.

• 5

• 12

• 10

• 15

A class trip costs $15 per student. If there are 30 students, what is the maximum amount of money needed? Write and solve the inequality.

• $300

• $600

• $4500

• $450

A gardener has 50 feet of fencing to create a rectangular garden. If the length is 5 feet more than the width, write and solve the inequality for the width.

• 0 < w < 10

• 10 < w < 20

• w < 0

• 0 < w < 5

A concert hall has a seating capacity of 500. If 200 tickets are sold, how many more tickets can be sold? Write and solve the inequality.

• 150

• 400

• 300

• 250

A car rental company charges $30 per day plus a one-time fee of $50. If you want to spend no more than $200, how many days can you rent the car? Write and solve the inequality.

• 5

• 10

• 3

• 7

A school is planning a field trip and has a budget of $1,200. If each student pays $40, how many students can attend? Write and solve the inequality.

• 25

• 35

• 40

• 30

A factory produces 100 toys per hour. If they want to produce at least 500 toys, how many hours do they need to work? Write and solve the inequality.

• 5 hours

• 10 hours

• 6 hours

• 4 hours

A pizza shop sells large pizzas for $15 each. If you want to spend no more than $75, how many pizzas can you buy? Write and solve the inequality.

• 5

• 3

• 4

• 6

A swimming pool can hold a maximum of 10,000 gallons of water. If it currently has 3,500 gallons, how many more gallons can be added? Write and solve the inequality.

• 8,000

• 6,500

• 5,000

• 7,500

A book club has a goal to read at least 12 books this year. If they have read 5 books so far, how many more do they need to read? Write and solve the inequality.

• 10

• 6

• 8

• 7