Solving and Graphing Linear Inequalities in Word Problems

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?

• 16

• 12

• 10

• 14

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 ≤ 10

• x ≤ 25

• x ≤ 20

• x ≤ 15

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.

• 15w <= 250

• 15w = 250

• 15w >= 250

• 15w < 250

A farmer has a total of 120 acres of land. He wants to plant corn and wheat, but he needs to plant at least 40 acres of corn. Write an inequality to represent the maximum acres of wheat he can plant.

• y ≤ 80

• y ≤ 40

• y ≤ 100

• y ≤ 60

A concert venue can hold a maximum of 2,000 people. If 1,200 tickets have already been sold, write an inequality to represent the number of additional tickets that can be sold.

• x ≥ 800

• x ≤ 1000

• x ≤ 800

• x < 800

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?

• 300 miles

• 150 miles

• 200 miles

• 250 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?

• 3

• 4

• 5

• 6

A pizza shop sells large pizzas for $12 each. If a family wants to spend no more than $60 on pizza, how many pizzas can they order?

• 6

• 5

• 3

• 4

A student has a budget of $200 for school supplies. If each backpack costs $25 and each set of supplies costs $15, write an inequality to represent the maximum number of backpacks and sets of supplies the student can buy.

• 30x + 20y ≤ 200

• 25x + 20y ≤ 200

• 20x + 10y ≤ 200

• 25x + 15y ≤ 200

A local theater has 300 seats. If they want to sell tickets for a play at $15 each, but need to make at least $2,000, write an inequality to find the minimum number of tickets they need to sell.

• 134

• 100

• 120

• 150