Exploring Real-Life Linear Inequalities for 8th Graders

A school is planning a field trip and has a budget of $500. Each student ticket costs $15 and the bus rental costs $200. Write an inequality to represent the maximum number of students (s) that can attend the trip. What is the solution to this inequality?

• s ≤ 15

• s ≤ 10

• s ≤ 25

• s ≤ 20

Maria is making gift bags for a party. Each bag costs $3 to make, and she has a budget of $60. Write an inequality to represent the number of bags (b) she can make. How many bags can she make at most?

• 30

• 20

• 15

• 25

A farmer has 120 acres of land. He wants to plant corn and wheat. Each acre of corn requires 2 hours of labor, and each acre of wheat requires 1 hour of labor. If he has 180 hours of labor available, write an inequality to represent the number of acres of corn (c) and wheat (w) he can plant. What are the possible combinations of corn and wheat he can plant?

• c + w ≤ 120 and 2c + w = 180

• c + w ≥ 120 and 2c + w ≥ 180

• c + w ≤ 120 and 2c + w ≤ 180

• c + w ≤ 100 and 2c + w ≤ 150

A gym charges a monthly fee of $30 plus $5 for each class attended. If a member wants to spend no more than $100 in a month, write an inequality to represent the number of classes (c) they can attend. How many classes can they attend at most?

• 14

• 16

• 12

• 10

A concert hall has a seating capacity of 800. If tickets are sold for $20 each, and the hall must sell at least $10,000 worth of tickets to break even, write an inequality to represent the number of tickets (t) that must be sold. What is the minimum number of tickets that need to be sold?

• 400

• 500

• 600

• 700

A bakery sells cupcakes for $2 each and cookies for $1 each. If the bakery wants to make at least $100 in one day, write an inequality to represent the number of cupcakes (c) and cookies (k) they need to sell. What are some possible combinations of cupcakes and cookies they can sell?

• 2c + 2k >= 100

• 2c + k >= 100

• c + k >= 100

• c + 2k >= 100

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, write an inequality to represent the number of miles (m) they can drive. What is the maximum number of miles they can drive?

• 200

• 250

• 300

• 150

A charity event aims to raise at least $5,000. If each ticket sold is $25 and they have a sponsorship of $1,000, write an inequality to represent the number of tickets (t) that need to be sold. How many tickets must they sell at a minimum?

• 180

• 160

• 200

• 150

A local store sells notebooks for $3 each and pens for $2 each. If a student has $30 to spend, write an inequality to represent the number of notebooks (n) and pens (p) they can buy. What are some combinations of notebooks and pens they can purchase?

• n + p ≤ 15

• 3n + 2p = 30

• 3n + 2p ≤ 30

• 3n + 2p < 30

A pet shelter has a limit of 50 animals. If they currently have 30 dogs and each dog takes up one space, write an inequality to represent the number of cats (c) they can take in. What is the maximum number of cats they can adopt?

• 15

• 25

• 20

• 10