Mastering Inequalities: Real-World Problems for Grade 8

A school is planning a field trip and needs to raise at least $300. If each student contributes $15, how many students need to participate to meet the goal? Write and solve the inequality.

• 30

• 20

• 15

• 25

Maria has a budget of $50 to buy supplies for a science project. If she buys packs of markers for $5 each and packs of paper for $3 each, how many packs of each can she buy without exceeding her budget? Write the inequality and interpret the solution.

• Maria can buy a combination of packs of markers and packs of paper such that 5x + 3y ≤ 50.

• Maria can only buy packs of markers with her budget.

• The inequality is 5x + 3y ≥ 50.

• Maria can buy 10 packs of markers and 5 packs of paper.

A farmer has a total of 100 acres of land to plant corn and wheat. If he plants at least 30 acres of corn, how many acres of wheat can he plant? Write the inequality and solve it.

• 100 acres

• 80 acres

• 70 acres

• 50 acres

In a concert, tickets are sold for $20 each. If the venue can hold a maximum of 500 people, what is the maximum revenue the concert can generate? Write the inequality and interpret the solution.

• $20,000

• $10,000

• $15,000

• $5,000

A gym has a membership limit of 200 members. If there are currently 120 members, how many new members can join without exceeding the limit? Write and solve the inequality.

• 80

• 60

• 150

• 100

A bookstore is having a sale where each book costs $8. If a customer wants to spend no more than $40, how many books can they buy? Write the inequality and interpret the solution.

• 7

• 4

• 6

• 5

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer wants to spend no more than $100, how many miles can they drive? Write the inequality and solve it.

• 400 miles

• 250 miles

• 350 miles

• 300 miles

A local charity is collecting cans for a food drive. They want to collect at least 500 cans. If each class in the school contributes at least 25 cans, how many classes need to participate? Write the inequality and interpret the solution.

• At least 15 classes need to participate.

• At least 20 classes need to participate.

• At least 10 classes need to participate.

• At least 25 classes need to participate.

A pizza shop sells large pizzas for $12 each. If a customer has $60 to spend, how many pizzas can they buy? Write the inequality and solve it.

• 6

• 3

• 4

• 5

A student is saving money for a new video game that costs $60. If they save $5 each week, how many weeks will it take to save enough money? Write the inequality and interpret the solution.

• 15 weeks

• 10 weeks

• 12 weeks

• 8 weeks