Two-Step Inequality Word Problem Review

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

Which of the following inequalities can be used to determine the least number of cars she can wash to buy the headphones?

• 30x+14 ≤ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 14x+30 ≥ 240

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.6.EE.B.8

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, which of the following inequalities can be used to determine the amount of weeks it will take her to reach her goal?

• 5x+60 ≥ 200

• 5x+60 ≤ 200

• 60x+5 ≥ 200

• 60x+5 ≤ 200

Tags

CCSS.7.EE.B.4B

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?

• x ≥ 28

• x ≤ 28

• x > 28

• x < 28

Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?

Write the inequality to the problem.

• 50x+1/2 ≥ 4800

• 1/2x+50 ≤ 4800

• 50x+2400 ≥ 4800

• 50x+2400 ≤ 4800

Tags

CCSS.7.EE.B.4B

Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?

• x ≥ 48

• x ≤ 48

• x ≥ 24

• x ≤ 24

Dylan decides to takes his friends to a movie with $50 of his birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. Which of the following inequalities can be used to determine the maximum number of friends Dylan could take with him to the movies?

• 6.25x+9.75 ≥ 50

• 6.25x+9.75 ≤ 50

• 9.75x+6.25 ≥ 50

• 9.75x+6.25 ≤ 50

Tags

CCSS.7.EE.B.4B

Dylan decides to takes 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 Dylan could take with him to the movies?

• x ≥ 6

• x ≤ 6

• x ≥ 7

• x ≤ 7

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 without using all of your money?

(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

Tags

CCSS.7.EE.B.4B

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 without using all of your money?

(Mileage is rounded up if you stop before a complete mile.)

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Tags

CCSS.7.EE.B.4B