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Worksheet: Solving Story Problems Involving Inequalities

Q1:

Joshua 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 Joshua must work to buy the game, and then solve it.

  • A,
  • B,
  • C,
  • D,
  • E,

Q2:

Sean ran 600 meters in 90 seconds, while Dorothy was at least 9 seconds ahead of him. Write an inequality to represent the time Dorothy 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:

A rental car company charges $65 plus an additional $0.72 per mile to rent a car. If Zachary does not want to spend more than $290 for his rental car, write and solve an inequality to find how many miles he can drive.

  • A,
  • B,
  • C,
  • D,
  • E,

Q5:

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?

  • A5 hours
  • B6 hours
  • C8 hours
  • D2 hours
  • E4 hours

Q6:

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?

  • A2 hours
  • B3 hours
  • C7 hours
  • D5 hours
  • E6 hours

Q7:

Louis is making several batches of cookies to give to his neighbors. He started with less than 7 cups of chocolate chips, and each batch requires . Write an inequality that describes the number of batches Louis can make, and then solve it.

  • A,
  • B,
  • C,
  • D,
  • E,

Q8:

Joseph promised to raise at least $200 for an orphanage, so he is selling magazine subscriptions for $20 each. Write and solve an inequality that can be used to find the number of magazine subscriptions he needs to sell.

  • A,
  • B,
  • C,
  • D,
  • E,

Q9:

Anthony is trying to break his school’s record by getting 51 hits in one season. Halfway through the season, he already had 28 hits, with an average of 2 hits per game. Write an inequality showing how many games it will take him at that rate to score 51 hits at least, and then find the minimum number of games he needs to score.

  • A, 12 games
  • B, 40 games
  • C, 12 games
  • D, 40 games
  • E, 12 games

Q10:

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 10 windows
  • Bmore than 8 windows
  • Cmore than 20 windows
  • Dmore than 15 windows
  • Emore than 5 windows

Q11:

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

Q12:

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