Solving and Graphing Multistep Inequalities for 8th Grade

A store sells notebooks for $3 each. If you want to buy at least 5 notebooks and have no more than $20 to spend, what inequality represents this situation? Solve it and graph the solution on a number line.

• x > 6

• x >= 5 and x <= 7

• 5 <= x <= 6

• x < 5

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. Show the solution on a number line.

• Maria can buy at most 8 books.

• Maria can buy at most 6 books.

• Maria can buy at most 7 books.

• Maria can buy at most 5 books.

A recipe requires at least 2 cups of sugar and no more than 5 cups. If each cup costs $2, write an inequality for the total cost and solve it. Graph the solution on a number line.

• 0 <= cost <= 5

• 5 <= cost <= 15

• 4 <= cost <= 10

• 3 <= cost <= 8

Tom is saving money for a video game that costs $60. If he saves $5 each week, write an inequality to represent how many weeks it will take him to save enough money. Solve it and graph the solution.

• w > 12

• w <= 12

• w >= 12

• w < 12

A concert ticket costs $45. If you want to buy tickets for yourself and 2 friends, but you only have $150, write an inequality to represent this situation. Solve it and graph the solution on a number line.

• You cannot buy the tickets.

• You need $200 to buy the tickets.

• You can only buy one ticket.

• You can buy the tickets.

A gym membership costs $30 per month. If you want to spend no more than $240 in a year, write an inequality to represent the maximum number of months you can afford. Solve it and graph the solution.

• x ≤ 6

• x ≤ 12

• x ≤ 10

• x ≤ 8

A farmer has 100 acres of land. He wants to plant corn and wheat, with corn taking 2 acres and wheat taking 3 acres. Write an inequality to represent the maximum number of crops he can plant and solve it. Graph the solution on a number line.

• 2x + 3y < 100

• 2x + 3y ≤ 100

• 2x + 3y = 100

• 2x + 3y ≥ 100

You are planning a party and want to spend no more than $200 on food. If each guest costs $15, write an inequality to represent the maximum number of guests you can invite. Solve it and graph the solution.

• 10

• 15

• 13

• 20

A school is organizing a field trip and has a budget of $500. If each student pays $25, write an inequality to find out how many students can attend. Solve it and graph the solution on a number line.

• x <= 20

• x > 20

• x < 20

• x >= 25

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 an inequality to represent the maximum number of miles you can drive. Solve it and graph the solution.

• m ≤ 150

• m ≤ 250

• m ≤ 300

• m ≤ 200