Step Inequalities Word Problems

Mrs. Underwood decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

• 20x + 120 ≥ 3

• x/3 + 20 ≤ 120

• 3x + 20 ≤ 120

• 3x + 20 ≥ 120

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600

• 125x + 55 ≥ 600

• 125x + 55 > 600

• 125x + 55 < 600

Aaron needs at least $240 to buy new headphones. He has already saved $30. He earns $14 per car that he washes.

Write the inequality to the problem.

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240

Aaron needs at least $240 to buy new headphones. He has already saved $30. He earns $14 per car that he washes.

What is the least number of cars he can wash to buy the

headphones?

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Virginia 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

Evelyn 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

Evelyn 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

Justin earned 12 per hour waiting tables then he spent $35 on gas. He now has less than $25 left.

• 12h + 35 < 25

• 12h - 35 < 25

• 12h - 35 ≤ 25

• 12h + 35 ≤ 25

Olivia gets 5 points for each answer and has already earned 10 points of extra credit She needs at least 77 points to pass.

• 10a + 5 ≥ 77

• 5a + 10 ≥ 77

• 5a + 10 > 77

• 5a + 10 ≤ 77

Mykel has a $25 budget to spend on decorations for a party. He has already spent $18.60. He now wants to get some helium balloons that cost $0.80 each. Write and solve and inequality to show the number of balloons that Mykel could buy.