Solving Real-World Inequalities for 8th Graders

A store sells notebooks for $2 each. If you want to buy at least 5 notebooks and have no more than $15 to spend, write an inequality to represent this situation.

• x <= 5 and 2x >= 15

• x >= 5 and 2x <= 15

• x < 5 and 2x < 15

• x >= 10 and 2x <= 15

Maria has $50 to spend on books. Each book costs $8. Write an inequality to show how many books she can buy without exceeding her budget.

• b < 6

• b <= 6

• b >= 7

• b = 5

A gym charges a monthly fee of $30 plus $5 for each class attended. If you want to spend no more than $100 in a month, write an inequality to find the maximum number of classes you can attend.

• 10

• 12

• 16

• 14

Tom is saving money to buy a video game that costs $60. He currently has $20 and saves $10 each week. Write an inequality to determine how many weeks it will take for him to have enough money.

• w >= 4

• w < 4

• w = 3

• w <= 5

A concert ticket costs $45. If you want to buy tickets for yourself and at least 3 friends, and you have a budget of $200, write an inequality to represent this situation.

• 45x <= 200, x >= 4

• 45x < 200, x >= 3

• 45x <= 250, x >= 4

• 45x <= 200, x < 4

A farmer has 120 acres of land. He wants to plant corn and wheat, with corn taking 2 acres and wheat taking 3 acres. Write an inequality to show how many acres he can use for planting if he wants to plant at least 20 crops in total.

• 2x + 3y >= 120 and x + y <= 20

• 2x + 3y <= 100 and x + y >= 25

• 2x + 3y = 120 and x + y = 20

• 2x + 3y <= 120 and x + y >= 20

A school is planning a field trip and has a budget of $500. Each student pays $15. Write an inequality to find out how many students can attend without exceeding the budget.

• x = 25

• x <= 33

• x < 33

• x >= 30

Lily wants to buy a new phone that costs $300. She has saved $150 and plans to save $25 each week. Write an inequality to determine how many weeks it will take her to afford the phone.

• w < 6

• w <= 6

• w >= 6

• w > 6

A pizza place offers a deal where you can buy pizzas for $10 each. If you want to spend no more than $70, write an inequality to find out how many pizzas you can buy.

• x = 5

• x <= 7

• x >= 10

• x < 7

A charity event aims to raise at least $1,000. If each ticket sold is $20, write an inequality to determine how many tickets need to be sold to meet the goal.

• x >= 50

• x > 50

• x <= 50

• x < 50