Worksheet: Solving Story Problems Involving Inequalities

Q1:

Anthony earns \$6.75 an hour waiting on tables. He is saving money to buy a new video game which costs \$27. Write an inequality to find how many hours Anthony must work to buy the game, and then solve it.

• A ,
• B ,
• C ,
• D ,
• E ,

Q2:

Matthew ran 600 meters in 90 seconds, while Sophia was at least 9 seconds ahead of him. Write an inequality to represent the time Sophia finished the 600-meter run.

• A
• B
• C
• D
• E

Q3:

Michael wants to purchase a precision balance for \$340. He has already saved \$113 and can save \$28 every week. Write an inequality that can be used to determine the number of weeks left for Michael to save at least \$340.

• A
• B
• C
• D
• E

Q4:

Michael finds two plumbers online: the first charges \$20 per hour of labor, while the second charges a fixed charge of \$40 per job plus an hourly labor charge of \$15. After how many hours will the second plumber be cheaper than the first?

• A2 hours
• B4 hours
• C6 hours
• D8 hours
• E5 hours

Q5:

Sophia finds two landscape gardeners online: the first charges a fixed fee of \$20 per job plus \$15 per hour for labor, while the second charges a fixed fee of \$90 but only \$5 per hour for labor. After how many hours will the second gardener be cheaper than the first?

Q6:

You are choosing between two different window-washing companies. The first charges per window, while the second charges a base fee of plus per window. How many windows would you need to have for the second company to be preferable?

• Amore than 15 windows
• Bmore than 5 windows
• Cmore than 8 windows
• Dmore than 20 windows
• EMore than 10 windows

Q7:

When hired at a new job selling electronics, you are given two pay options:

• Option A: a base salary of a year with a commission of of your sales
• Option B: a base salary of a year with a commission of of your sales

How many dollarsβ worth of electronics would you need to sell for option A to produce a larger income?

• Amore than worth of electronics
• Bmore than worth of electronics
• Cmore than worth of electronics
• Dmore than worth of electronics

Q8:

When hired at a new job selling electronics, you are given two pay options:

• Option A: a base salary of a year with a commission of of your sales.
• Option B: a base salary of a year with a commission of of your sales.

How many dollarsβ worth of electronics would you need to sell for Option A to produce a larger income?

• Amore than worth of electronics
• Bmore than worth of electronics
• Cmore than worth of electronics
• Dmore than worth of electronics