Solving Real-World Linear Inequalities for Grade 8

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 $20. Write a linear inequality to represent the maximum number of students that can attend the trip.

• 15x ≤ 500

• 10x ≤ 500

• 20x ≤ 500

• 25x ≤ 500

Maria is saving money to buy a new bike that costs $250. She saves $15 each week. Write an inequality to show how many weeks it will take her to save enough money.

• w < 250 / 15

• w <= 250 / 15

• w = 250 / 15

• w >= 250 / 15

A farmer has 120 acres of land and wants to plant corn and wheat. Each acre of corn requires 2 hours of labor, and each acre of wheat requires 1 hour. If he has 200 hours of labor available, write a linear inequality to represent the situation.

• x + y ≤ 120 and 2x + y ≤ 250

• x + y ≤ 120 and 2x + y ≤ 200

• x + y ≥ 120 and 2x + y ≥ 200

• x + y ≤ 100 and 2x + y ≤ 150

A concert hall has a seating capacity of 800. If tickets are sold for $25 each, how many tickets can be sold to ensure that the total revenue does not exceed $15,000? Write a linear inequality to represent this situation.

• 25x <= 15000, x <= 600

• 30x <= 15000, x <= 500

• 20x <= 15000, x <= 750

• 25x <= 12000, x <= 480

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?

• 250 miles

• 150 miles

• 300 miles

• 200 miles

A bookstore is having a sale where each book costs $8. If a customer wants to buy books without spending more than $40, how many books can they purchase? Write a linear inequality to represent this.

• 5

• 4

• 6

• 7

A factory produces gadgets and has a maximum production capacity of 500 units per day. If each gadget requires 3 hours of labor to produce, how many gadgets can be produced in a day if the total labor available is 1200 hours? Write a linear inequality.

• x <= 300

• x <= 500

• x <= 200

• x <= 400

A pizza shop sells large pizzas for $15 each. If a customer wants to spend no more than $60 on pizzas, how many pizzas can they buy? Write a linear inequality to represent this situation.

• 2

• 4

• 3

• 5

A student has a budget of $50 to spend on school supplies. If notebooks cost $3 each and pens cost $2 each, write a linear inequality to represent the maximum number of notebooks and pens the student can buy.

• 3x + 2y < 50

• 2x + 5y ≤ 50

• 4x + 3y ≤ 50

• 3x + 2y ≤ 50