Translate and Set Up Inequalities: Real-Life Scenarios

A store sells notebooks for $3 each. If you want to buy at least 5 notebooks and have no more than $20 to spend, set up an inequality to represent this situation.

• x >= 5 and 3x <= 20

• x <= 5 and 3x <= 20

• x < 5 and 3x < 20

• x >= 5 and 3x >= 20

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 >= 7

• b = 5

• b <= 6

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, set up an inequality to find the maximum number of classes you can attend.

• 16

• 12

• 14

• 10

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

• w >= 6

• w < 6

• w <= 6

• w > 6

A concert ticket costs $45. If you want to buy tickets for yourself and at least 3 friends without spending more than $200, set up an inequality to find the maximum number of friends you can invite.

• 4

• 5

• 2

• 3

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 represent the maximum number of acres he can use for planting.

• 2x + 3y ≥ 120

• 2x + 3y ≤ 120

• 2x + 3y < 120

• 2x + 3y = 120

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 <= 33

• x < 33

• x > 40

• x >= 25

Lisa wants to buy a new phone that costs $300. She has $50 saved and can save $25 each week. Set up an inequality to determine how many weeks she needs to save to afford the phone.

• w >= 10

• w < 10

• w > 10

• w <= 10

A pizza place offers a deal where a large pizza costs $12 and a medium pizza costs $8. If you want to spend no more than $50, write an inequality to represent the number of large and medium pizzas you can buy.

• 12x + 8y ≤ 50

• 12x + 10y ≤ 50

• 10x + 5y ≤ 50

• 15x + 10y ≤ 50

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, set up an inequality to find the maximum number of miles you can drive.

• 250

• 300

• 200

• 150