Translating Real-Life Inequalities: Grade 8 Challenge

A local gym charges a monthly fee of $30 plus $5 for each class attended. If you want to spend no more than $100 in a month, how many classes can you attend?

• 16

• 12

• 10

• 14

A school is planning a field trip and has a budget of $500. Each student must pay $15. Write an inequality to represent the maximum number of students that can attend the trip.

• x ≤ 30

• x ≤ 40

• x ≤ 25

• x ≤ 33

Maria wants to buy a new phone that costs $300. She has saved $150 and plans to save $25 each week. Write an inequality to find out how many weeks she needs to save to afford the phone.

• 150 + 25w <= 300

• 150 + 25w >= 300

• 150 + 25w = 300

• 150 + 25w < 300

A concert hall has a seating capacity of 1,200. If each ticket costs $50, write an inequality to represent the maximum revenue that can be generated if all tickets are sold.

• R = 60000

• R >= 50000

• R < 60000

• R <= 60000

A farmer has 200 acres of land and wants to plant corn and wheat. He needs at least 50 acres for corn. Write an inequality to represent the land usage for corn.

• x = 50

• x <= 50

• x >= 50

• x < 50

A bookstore is having a sale where you can buy books for $10 each. If you want to spend no more than $80, how many books can you buy? Write an inequality to represent this situation.

• 8

• 10

• 5

• 12

A car rental company charges a flat fee of $40 plus $0.20 per mile driven. If you want to spend no more than $100, how many miles can you drive?

• 300 miles

• 400 miles

• 150 miles

• 250 miles

A charity event aims to raise at least $1,000. If each ticket sold is $20, write an inequality to find out how many tickets need to be sold to meet the goal.

• 20x < 1000

• 10x ≥ 1000

• 20x ≥ 1000

• x ≥ 50

A student has a budget of $50 to spend on school supplies. If each notebook costs $3 and each pen costs $2, write an inequality to determine how many notebooks and pens he can buy without exceeding his budget.

• 2x + 5y ≤ 50

• 4x + 3y ≤ 50

• 3x + 2y ≤ 50

• 3x + 2y < 50

A pizza shop sells large pizzas for $15 each. If you want to spend no more than $60 on pizzas for a party, how many pizzas can you order? Write an inequality to represent this situation.

• 5

• 3

• 2

• 4