Skip to ContentGo to accessibility page
OpenStax Logo
College Algebra with Corequisite Support 2e

Practice Test

College Algebra with Corequisite Support 2ePractice Test

Practice Test

1.

Graph the following: 2y=3x+4. 2y=3x+4.

2.

Find the x- and y-intercepts for the following: 2x−5y=6 2x−5y=6

3.

Find the x- and y-intercepts of this equation, and sketch the graph of the line using just the intercepts plotted.

3x−4y=12 3x−4y=12

4.

Find the exact distance between ( 5,−3 ) ( 5,−3 ) and ( −2,8 ). ( −2,8 ). Find the coordinates of the midpoint of the line segment joining the two points.

5.

Write the interval notation for the set of numbers represented by { x| x≤9 }. { x| x≤9 }.

6.

Solve for x: 5x+8=3x−10. 5x+8=3x−10.

7.

Solve for xx: 3( 2x−5 )−3( x−7 )=2x−9. 3( 2x−5 )−3( x−7 )=2x−9.

8.

Solve for x: x 2 +1= 4 x x 2 +1= 4 x

9.

Solve for x: 5 x+4 =4+ 3 x−2 . 5 x+4 =4+ 3 x−2 .

10.

The perimeter of a triangle is 30 in. The longest side is 2 less than 3 times the shortest side and the other side is 2 more than twice the shortest side. Find the length of each side.

11.

Solve for x. Write the answer in simplest radical form.

x 2 3 −x=- 1 2 x 2 3 −x=- 1 2

12.

Solve: 3x−8≤4. 3x−8≤4.

13.

Solve: | 2x+3 |<5. | 2x+3 |<5.

14.

Solve: | 3x−2 |≥4. | 3x−2 |≥4.

For the following exercises, find the equation of the line with the given information.

15.

Passes through the points ( −4,2 ) ( −4,2 ) and ( 5,−3 ). ( 5,−3 ).

16.

Has an undefined slope and passes through the point ( 4,3 ). ( 4,3 ).

17.

Passes through the point ( 2,1 ) ( 2,1 ) and is perpendicular to y=− 2 5 x+3. y=− 2 5 x+3.

18.

Add these complex numbers: (3−2i)+(4−i). (3−2i)+(4−i).

19.

Simplify: −4 +3 −16 . −4 +3 −16 .

20.

Multiply: 5i( 5−3i ). 5i( 5−3i ).

21.

Divide: 4−i 2+3i . 4−i 2+3i .

22.

Solve this quadratic equation and write the two complex roots in a+bi a+bi form: x 2 −4x+7=0. x 2 −4x+7=0.

23.

Solve: ( 3x−1 ) 2 −1=24. ( 3x−1 ) 2 −1=24.

24.

Solve: x 2 −6x=13. x 2 −6x=13.

25.

Solve: 4 x 2 −4x−1=0 4 x 2 −4x−1=0

26.

Solve: x−7 =x−7 x−7 =x−7

27.

Solve: 2+ 12−2x =x 2+ 12−2x =x

28.

Solve: ( x−1 ) 2 3 =9 ( x−1 ) 2 3 =9

For the following exercises, find the real solutions of each equation by factoring.

29.

2 x 3 − x 2 −8x+4=0 2 x 3 − x 2 −8x+4=0

30.

( x+5 ) 2 −3( x+5 )−4=0 ( x+5 ) 2 −3( x+5 )−4=0

PreviousNext
Citation/Attribution
Reuse and redistribution of this content in digital or print format:
  • 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 prior written permission.
  • This book uses the Creative Commons Attribution-NonCommercial-ShareAlike License, which means that you can reuse and modify the material only for noncommercial purposes, must attribute OpenStax, and must distribute any derivative works under the same license.
  • Any commercial printing of this textbook, including using a local or custom printer, must be approved by OpenStax, and proper citation provided.
  • OpenStax-copyrighted images, activities, assessments, and similar components of this book are subject to the same licensing – CC-BY-NC-SA. They can be used for noncommercial purposes with attribution. Commercial use requires permission.
  • Permission requests: Anyone who intends to incorporate this content (including text, images, and other components) into large language models, use it in AI offerings, use it commercially (including in print), and/or has questions about another use case is welcome to complete our reuse request form.
Attribution information
  • If you are redistributing all or part of this book in a noncommercial print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/college-algebra-corequisite-support-2e/pages/1-introduction-to-prerequisites

  • If you are redistributing all or part of this book in a noncommercial digital format, then for every page that includes OpenStax content, you must license the derivative work under the same CC-BY-NC-SA license as the original, and include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/college-algebra-corequisite-support-2e/pages/1-introduction-to-prerequisites

Citation information

The information below includes the information needed to generate citations in most major styles (APA, MLA, etc.); you must reformat and organize the information as needed to fit the requirements of the style. Use the information below to generate a citation. We recommend using a citation tool such as this one.

© Jun 12, 2026 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, and Rice University name, and Rice University logo trademarks, or wordmarks are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.