Two Step Inequality Word Problems

Which inequality is represented by the words " no more than" or "at most"?

• <

• >

• ≤

• ≥

Emilia 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? Solve the inequality/answer the question.

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Ruby set a goal of saving at least $200 in a savings account.<\/p>

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?<\/p>

<\/p>

Solve the inequality/answer the question.<\/em><\/p>

• x ≥ 28<\/p>

• x ≤ 28<\/p>

• x > 28<\/p>

• x < 28<\/p>

Griffin earns a weekly salary of $300. He also earns a commission (bonus) 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 at least $550?

• x ≥ $6250

• x ≤ $6250

• x ≥ $62.50

• x ≤ $62.50

Jillian 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

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? (Be careful here- Elliott has to be removed from the group of friends before you answer!) Solve the inequality/answer the question.

• x ≥ 5

• 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?

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

Solve the inequality/answer the question.

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Jason got a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Jason hopes to make at least $68 this week to buy a new pair of soccer cleats. How many magazine subscriptions does Jason need to sell?

• 25 + 3x > 68

• 25 + 3x < 68

• 25 + 3x ≥ 68

• 25 + 3x ≤ 68

Noah has $100 saved in a bank account. He asked Sydney to help him figure out how much he could take out each month if he needs to have at least $25 in the account a year from now.

• 100 - 12x > 25

• 100 - 12x < 25

• 100 - 12x ≥ 25

• 100 - 12x ≤ 25

Sai gets 5 points for each answer and has already earned 10 points of extra credit. She needs at least 77 points to pass. How many questions does Sai need to answer to pass?

• 5x + 10 < 77

• 5x + 10 > 77

• 5x + 10 ≤ 77

• 5x + 10 ≥ 77