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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?

  • A5 hours
  • B6 hours
  • C3 hours
  • D7 hours
  • E2 hours

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 dollars’ 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 dollars’ 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