Solving and Graphing Multistep Inequalities for 8th Grade

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. Graph the solution on a number line.

• 15

• 20

• 30

• 25

Maria has $50 to spend on books. If each book costs $12, how many books can she buy? Write the inequality and solve it. Show the solution on a number line.

• 3

• 5

• 6

• 4

A 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? Write and solve the inequality, then graph it.

• 10

• 16

• 12

• 14

Tom is saving money to buy a new video game that costs $60. He saves $5 each week. Write an inequality to represent how many weeks it will take him to save enough money. Solve the inequality and graph the solution.

• w <= 12

• w < 12

• w > 12

• w >= 12

A concert hall has a seating capacity of 500. If 200 tickets are sold, how many more tickets can be sold without exceeding the capacity? Write and solve the inequality, then graph it on a number line.

• 250

• 150

• 400

• 300

A recipe requires at least 3 cups of flour but no more than 5 cups. If you already have 1 cup, how many more cups can you add? Write the inequality, solve it, and graph the solution.

• You can add 0 to 1 cup of flour.

• You can add 1 to 2 cups of flour.

• You can add 5 to 6 cups of flour.

• You can add between 2 and 4 cups of flour.

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. If a customer wants to spend no more than $100, how many miles can they drive? Write and solve the inequality, then graph it.

• 160 miles

• 80 miles

• 200 miles

• 120 miles

Lily wants to buy a new dress that costs $80. She has $20 saved and can save $10 each week. Write an inequality to find out how many weeks she needs to save. Solve it and graph the solution on a number line.

• Lily needs to save for at least 6 weeks.

• Lily needs to save for at least 8 weeks.

• Lily needs to save for at least 4 weeks.

• Lily needs to save for at least 10 weeks.

A farmer has a budget of $200 to buy seeds. If each packet of seeds costs $15, how many packets can he buy? Write the inequality, solve it, and graph the solution.

• 10

• 15

• 13

• 20

A bookstore is having a sale where you can buy 3 books for $20. If you want to spend no more than $100, how many books can you buy? Write and solve the inequality, then graph it.

• 18

• 10

• 15

• 12