Solving Real-Life Multistep Inequalities for 8th Graders

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?

• x >= 5 and 3x = 20

• x <= 5 and 3x >= 20

• x < 5 and 3x < 20

• x >= 5 and 3x <= 20

You are saving money to buy a new video game that costs $60. If you currently have $15 and plan to save $5 each week, write an inequality to find out how many weeks you need to save to afford the game.

• w < 9

• w >= 9

• w = 8

• w <= 10

A gym charges a $50 membership fee plus $10 per class. If you want to spend no more than $200, what inequality can you use to determine the maximum number of classes you can attend?

• 5x + 50 ≤ 200

• 10x + 50 ≥ 200

• 10x + 50 = 200

• 10x + 50 ≤ 200

A school is planning a field trip and has a budget of $500. If the cost per student is $25, write an inequality to find out how many students can attend without exceeding the budget.

• x ≤ 15

• x ≤ 25

• x ≤ 20

• x ≤ 10

You are buying concert tickets that cost $45 each. If you want to buy tickets for your friends and spend no more than $200, what inequality represents the maximum number of tickets you can buy?

• x ≤ 5

• x ≤ 3

• x ≤ 4

• x < 4

A farmer has a budget of $300 to buy seeds. If each packet of seeds costs $15, write an inequality to determine how many packets he can buy without exceeding his budget.

• x ≤ 15

• x ≥ 25

• x < 20

• x ≤ 20

You want to buy a new phone that costs $800. If you have $200 saved and plan to save $100 each month, write an inequality to find out how many months you need to save to buy the phone.

• m > 8

• m >= 6

• m < 6

• m = 5

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, what inequality can you use to find the maximum number of miles you can drive?

• 0.20m + 50 ≤ 100

• 0.20m + 50 = 100

• 0.20m + 50 ≥ 100

• 0.20m - 50 ≤ 100

You are planning a party and want to spend no more than $150 on food. If each pizza costs $12, write an inequality to determine how many pizzas you can order without exceeding your budget.

• x < 12

• x <= 12

• x = 12

• x >= 12

A student has $40 to spend on school supplies. If each pack of markers costs $8 and each notebook costs $5, write an inequality to find out how many packs of markers and notebooks the student can buy without exceeding the budget.

• 10x + 3y ≤ 40

• 8x + 5y ≤ 40

• 8x + 5y < 40

• 4x + 8y ≤ 40