Solving Real-Life Linear Inequalities for 8th Graders

A local 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, how many classes can they attend?

• 14

• 16

• 12

• 10

A school is planning a field trip and has a budget of $500. The cost per student is $25. Write an inequality to represent the maximum number of students that can attend the trip.

• x ≤ 15

• x ≤ 10

• x ≤ 20

• x ≤ 25

Maria is saving money to buy a new bike that costs $250. She saves $20 each week. Write an inequality to show how many weeks it will take her to save enough money.

• 15w >= 250

• 20w >= 250

• 20w < 250

• w <= 12.5

A farmer has 120 acres of land and wants to plant corn and wheat. Each acre of corn requires 1.5 hours of labor, and each acre of wheat requires 2 hours. If the farmer has 200 hours of labor available, write an inequality to represent the situation.

• x + y = 120 and 1.5x + 2y = 250

• x + y ≤ 100 and 1.5x + 2y ≤ 150

• x + y ≤ 120 and 1.5x + 2y ≤ 200

• x + y ≥ 120 and 1.5x + 2y ≥ 200

A concert hall has a seating capacity of 800. If tickets are sold for $15 each, write an inequality to represent the maximum revenue that can be generated if all seats are sold.

• R <= 10000

• R <= 8000

• R <= 15000

• R <= 12000

A bookstore sells novels for $12 each and textbooks for $25 each. If a customer wants to spend no more than $100, write an inequality to represent the number of novels and textbooks they can buy.

• 15x + 20y ≥ 100

• 12x + 25y < 100

• 10x + 30y ≤ 100

• 12x + 25y ≤ 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, how many miles can they drive?

• 200 miles

• 150 miles

• 300 miles

• 250 miles

A pizza shop sells large pizzas for $15 each and drinks for $2 each. If a family wants to spend no more than $50 on dinner, write an inequality to represent the number of pizzas and drinks they can order.

• 15x + 2y < 50

• 10x + 3y ≤ 50

• 15x + 2y ≤ 50

• 20x + y ≤ 50

A charity event has a goal of raising at least $1,000. If each ticket sold is $20, write an inequality to represent the minimum number of tickets that need to be sold to meet the goal.

• 20x < 1000

• x >= 50

• 10x >= 1000

• 20x >= 1000

A student has a budget of $60 to spend on school supplies. If notebooks cost $3 each and pens cost $2 each, write an inequality to represent the maximum number of notebooks and pens the student can buy.

• 4x + 3y ≤ 60

• 3x + 2y < 60

• 2x + 5y ≤ 60

• 3x + 2y ≤ 60