Solving and Graphing Multi-Step Inequalities Challenge

A school is planning a field trip. The cost per student is $15, and the total budget for the trip is $300. Write and solve an inequality to find the maximum number of students that can attend the trip.

• 25

• 30

• 20

• 15

Maria has $50 to spend on books. Each book costs $8. Write an inequality to represent how many books she can buy and solve it. Graph the solution on a number line.

• x <= 6

• x = 5

• x < 6

• x >= 7

A gym charges a $20 membership fee plus $5 per class. If you want to spend no more than $100, write and solve an inequality to find out how many classes you can attend. Graph your solution.

• 10

• 20

• 16

• 25

A farmer has 120 acres of land. He wants to plant corn and wheat. Each acre of corn costs $200 to plant, and each acre of wheat costs $150. If he has a budget of $20,000, write and solve an inequality to determine how many acres of each crop he can plant.

• The farmer can plant a maximum of 80 acres of corn and 40 acres of wheat.

• The farmer can plant a maximum of 100 acres of corn and 20 acres of wheat.

• The farmer can plant a maximum of 60 acres of corn and 60 acres of wheat.

• The farmer can plant a maximum of 120 acres of corn and 0 acres of wheat.

A concert hall has a seating capacity of 500. If tickets are sold for $25 each, and the total revenue must be at least $10,000, write and solve an inequality to find the minimum number of tickets that must be sold. Graph the solution.

• 300

• 450

• 400

• 350

Liam is saving money to buy a new bike that costs $300. He saves $20 each week. Write an inequality to determine how many weeks it will take him to save enough money. Solve and graph the solution.

• w < 15

• w <= 15

• w > 15

• w >= 15

A recipe requires at least 3 cups of flour and no more than 5 cups. If each cup costs $2, write and solve an inequality to find the maximum amount of money you can spend on flour. Graph your solution.

• $8

• $12

• $6

• $10

A bookstore is having a sale where you can buy 3 books for $20. If you want to spend no more than $100, write and solve an inequality to find out how many books you can buy. Graph the solution.

• 20

• 10

• 25

• 15

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you want to spend no more than $100, write and solve an inequality to find out how many miles you can drive. Graph your solution.

• 250 miles

• 150 miles

• 300 miles

• 200 miles

A charity event aims to raise at least $5,000. If each ticket sold is $50, write and solve an inequality to find the minimum number of tickets that need to be sold. Graph the solution.

• At least 100 tickets need to be sold.

• At least 75 tickets need to be sold.

• At least 50 tickets need to be sold.

• At least 200 tickets need to be sold.