Solving and Interpreting Multistep Inequalities in Context

A school is planning a field trip and needs to collect at least $300 from students. If each student pays $15, how many students must participate? Write and solve the inequality, then interpret the solution in context.

• 30

• 20

• 25

• 15

A gym charges a monthly fee of $25 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? Set up the inequality and check for extraneous solutions.

• 5

• 10

• 20

• 15

Maria is saving money to buy a new bike that costs $200. She saves $20 each week. Write an inequality to represent how many weeks it will take her to save enough money, and interpret the solution in context.

• w >= 10

• w < 10

• w > 10

• w <= 10

A concert venue can hold a maximum of 500 people. If 150 tickets have already been sold, how many more tickets can be sold? Write and solve the inequality, then explain the result in context.

• 500

• 250

• 400

• 350

A recipe requires at least 3 cups of flour. If you have 1.5 cups already, how many more cups do you need to buy? Write the inequality and interpret the solution in context.

• You need to buy at least 0.5 cups of flour.

• You need to buy at least 3.5 cups of flour.

• You need to buy at least 1.5 cups of flour.

• You need to buy at least 2 cups of flour.

A store is having a sale where you can buy 3 shirts for $45. If you want to spend no more than $100, how many shirts can you buy? Set up the inequality and check for extraneous solutions.

• 6

• 10 shirts

• 8 shirts

• 4 shirts

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, how many miles can you drive? Write the inequality and interpret the solution in context.

• 250 miles

• 150 miles

• 300 miles

• 200 miles

A student needs to read at least 5 books this semester. If they have read 2 books already, how many more do they need to read? Write the inequality and explain the result in context.

• 2

• 5

• 3

• 4

A farmer has a budget of $600 to buy seeds. If each packet of seeds costs $15, how many packets can the farmer buy? Set up the inequality and check for extraneous solutions.

• 30

• 50

• 40

• 20

A video game costs $60. If you have $20 saved and plan to save $10 each week, how many weeks will it take to afford the game? Write the inequality and interpret the solution in context.

• 4 weeks

• 8 weeks

• 2 weeks

• 6 weeks