Two Step Inequality Word Problem

Elliott decides to take his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Elliott could take with him to the movies? Write the inequality to the problem.

• 6.25x+9.75 ≥ 50

• 6.25x+9.75 ≤ 50

• 9.75x+6.25 ≥ 50

• 9.75x+6.25 ≤ 50

You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile. What is the most miles you could ride in the taxi? (Mileage is rounded up if you stop before a complete mile.) Write the inequality to the problem.

• 0.60x+5 ≥ 14

• 0.60x+5 ≤ 14

• 0.60x+5 > 14

• 0.60x+5 < 14

What is the INEQUALITY for this problem? (greater than, less than, greater than or equal to, less than or equal to) Steve had at least $50 to spend at the fair. If the admission to the fair is $10 and the rides cost $2.50 each, what is the greatest number of rides Daniel can go on?

• greater than

• greater than or equal to

• less than

• less than or equal to

What is the INEQUALITY in this problem? (greater than, less than, greater than or equal to, less than or equal to) Marco has $25, and he makes $11 per hour. He needs at least $58 to buy new shoes. Write and solve an inequality to determine how many hours Marco must work to be able to buy the new shoes.

• less than

• greater than or equal to

• less than or equal to

SOLVE: Marco has $25, and he makes $11 per hour. He needs at least $58 to buy new shoes. Write and solve an inequality to determine how many hours Marco must work to be able to buy the new shoes.

• Marco must work at least 3 hours to buy new shoes

• Marco must work at least 7.5 hours to buy new shoes

• Marco must work at least 5 hours to buy new shoes

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones? Write the inequality to the problem.

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones?

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Sylvia set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Write the inequality to the problem.

• 5x+60 ≥ 200

• 5x+60 ≤ 200

• 60x+5 ≥ 200

• 60x+5 ≤ 200

Sam earns a weekly salary of $300. He also earns a commission of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly pay of $550? Write the inequality to the problem.

• 0.04x+300 ≥ 550

• 0.04x+300≤ 550

• 4x+300 ≥ 550

• 4x+300 ≤ 550

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 plus $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

• 0.85x + 375 > 450

• 0.85x + 375 < 450

• 0.85 + 375x > 450

• 0.85 + 375x < 450