Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Algebra 1

2.12.6 Practice

Algebra 12.12.6 Practice
Search for key terms or text.

Complete the following questions to practice the skills you have learned in this lesson.

For 1 - 4, use the following passage:

Harrison works two part time jobs. One at a gas station that pays $11 an hour and the other is IT troubleshooting for $16.50 an hour. Between the two jobs, Harrison wants to earn at least $330 a week. How many hours does Harrison need to work at each job to earn at least $330?

1. Let x be the number of hours he works at the gas station and let y be the number of hours he works troubleshooting. Which inequality correctly models this situation?
  1. 16.5 y + 11 x > 330
  2. 11 x + 16.5 y ≤ 330
  3. 16.5 x + 11 y ≥ 330
  4. 11 x + 16.5 y ≥ 330

2. Which graph correctly represents the inequality from the previous question?

a.

A graph is shown of a line crossing the \(y\)-axis at 10 and the \(x\)-axis at 15. The region above the line is shaded.

b.

A graph is shown of a line crossing the \(y\)-axis at 30 and the \(x\)-axis at 20. The region above the line is shaded.

c.

A graph is shown of a line crossing the \(y\)-axis at 20 and the \(x\)-axis at 30. The region above the line is shaded.

d.

A graph is shown of a line crossing the \(y\)-axis at 30 and the \(x\)-axis at 20. The region above the line is shaded.

  1. a
  2. b
  3. c
  4. d
3. Which of the following ordered pairs is a solution to the inequality?
  1. (3, 17)
  2. (15, 9)
  3. (25, 2)
  4. (10, 20)
4. Which of the following is true about the solution you found in the previous question?
  1. The solution represents a work schedule that earns him more than $330 per week.
  2. The x-coordinate represents how many hours he works at the IT job.
  3. The y-coordinate represents how many hours Harrison will work at the gas station.

For 5 - 8, use the following passage:

The doctor tells Maya she needs to exercise enough to burn 500 calories each day. She likes to run which burns 15 calories per minute or bike which burns 10 calories per minute.

5. If x is the number of minutes that Maya runs and y is the number of minutes she bikes, find the inequality that models the situation.
  1. 15x + 10y ≤ 500
  2. 15 x + 10 y > 500
  3. 15 x + 10 y ≥ 500
  4. 15 x + 10 y < 500

6. Which graph correctly represents the inequality from the previous question?

a.

A graph is shown of a line crossing the \(y\)-axis at 25 and the \(x\)-axis at 35. The region above the line is shaded.

b.

A graph is shown of a line crossing the \(y\)-axis at 50 and the \(x\)-axis at 20. The region above the line is shaded.

c.

A graph is shown of a line crossing the \(y\)-axis at 50 and the \(x\)-axis at about 33. The region above the line is shaded.

d.

A graph is shown of a line crossing the \(y\)-axis at about 33 and the \(x\)-axis at 50. The region above the line is shaded.

  1. a
  2. c
  3. c
  4. d

7. Which of the following ordered pairs is a solution to the inequality?

  1. (25, 10)
  2. (20, 15)
  3. (15, 30)
  4. (5, 40)

8. Which of the following is true about the solution you found in the previous question?

  1. The solution represents a workout which allows Maya to burn at least 500 calories.
  2. The y-coordinate represents the number of minutes that Maya runs.
  3. The x-coordinate represents the number of minutes that Maya bikes.

For 9 - 12, use the following passage:

Armando’s workouts consist of kickboxing and swimming. While kickboxing, he burns 10 calories per minute and he burns 7 calories a minute while swimming. He wants to burn at least 600 calories each day.

9. If x is the number of minutes that Armando will kickbox and y is the number of minutes he will swim, find the inequality that will help Armando create a workout for today.
  1. 10 x + 7 y ≥ 600
  2. 10 x + 7 y > 600
  3. 7 x + 10 y < 600
  4. 7 x + 10 y ≥ 600

10. Which graph correctly represents the inequality from the previous question?

a.

A graph is shown of a line crossing the \(y\)-axis at 60 and the \(x\)-axis at about 85. The region above the line is shaded.

b.

A graph is shown of a line crossing the \(y\)-axis at about 85 and the \(x\)-axis at 60. The region above the line is shaded.

c.

A graph is shown of a line crossing the \(y\)-axis at about 85 and the \(x\)-axis at 30. The region above the line is shaded.

d.

A graph is shown of a line crossing the \(y\)-axis at 30 and the \(x\)-axis at about 85. The region above the line is shaded.

  1. a
  2. b
  3. c
  4. d

11. Which of the following ordered pairs is a solution to the inequality?

  1. (40, 20)
  2. (30, 40)
  3. (10, 70)
  4. (20, 70)

12. Which of the following is true about the solution you found in the previous question?

  1. The solution represents a workout which allows Armando to burn at least 500 calories.
  2. The y-coordinate represents the number of minutes that Armando swims.
  3. The x-coordinate represents the number of minutes that Armando swims.
PreviousNext
Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution-NonCommercial-ShareAlike License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

Citation information

© May 21, 2025 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.