Skip to ContentGo to accessibility page
OpenStax Logo
Intermediate Algebra

Practice Test

Intermediate AlgebraPractice Test

Practice Test

In the following exercises, solve each equation.

625.

−5 ( 2 x + 1 ) = 45 −5 ( 2 x + 1 ) = 45

626.

1 4 ( 12 m + 28 ) = 6 + 2 ( 3 m + 1 ) 1 4 ( 12 m + 28 ) = 6 + 2 ( 3 m + 1 )

627.

8 ( 3 a + 5 ) − 7 ( 4 a − 3 ) = 20 − 3 a 8 ( 3 a + 5 ) − 7 ( 4 a − 3 ) = 20 − 3 a

628.

0.1 d + 0.25 ( d + 8 ) = 4.1 0.1 d + 0.25 ( d + 8 ) = 4.1

629.

14 n − 3 ( 4 n + 5 ) = −9 + 2 ( n − 8 ) 14 n − 3 ( 4 n + 5 ) = −9 + 2 ( n − 8 )

630.

3 ( 3 u + 2 ) + 4 [ 6 − 8 ( u − 1 ) ] = 3 ( u − 2 ) 3 ( 3 u + 2 ) + 4 [ 6 − 8 ( u − 1 ) ] = 3 ( u − 2 )

631.

3 4 x − 2 3 = 1 2 x + 5 6 3 4 x − 2 3 = 1 2 x + 5 6

632.

| 3 x − 4 | = 8 | 3 x − 4 | = 8

633.

| 2 x − 1 | = | 4 x + 3 | | 2 x − 1 | = | 4 x + 3 |

634.

Solve the formula
x+2y=5x+2y=5 for y.

In the following exercises, graph the inequality on the number line and write in interval notation.

635.

x ≥ −3.5 x ≥ −3.5

636.

x < 11 4 x < 11 4

637.

−2 ≤ x < 5 −2 ≤ x < 5

In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation.

638.

8 k ≥ 5 k − 120 8 k ≥ 5 k − 120

639.

3 c − 10 ( c − 2 ) < 5 c + 16 3 c − 10 ( c − 2 ) < 5 c + 16

640.

34x−5≥−234x−5≥−2 and
−3(x+1)≥6−3(x+1)≥6

641.

3(2x−3)<−53(2x−3)<−5 or
4x−1>34x−1>3

642.

12x−3≤412x−3≤4 or
13(x−6)≥−213(x−6)≥−2

643.

| 4 x − 3 | ≥ 5 | 4 x − 3 | ≥ 5

In the following exercises, translate to an equation or inequality and solve.

644.

Four less than twice x is 16.

645.

Find the length of the missing side.

646.

One number is four more than twice another. Their sum is −47.−47. Find the numbers.

647.

The sum of two consecutive odd integers is −112.−112. Find the numbers.

648.

Marcus bought a television on sale for $626.50 The original price of the television was $895. Find ⓐ the amount of discount and ⓑ the discount rate.

649.

Bonita has $2.95 in dimes and quarters in her pocket. If she has five more dimes than quarters, how many of each coin does she have?

650.

Kim is making eight gallons of punch from fruit juice and soda. The fruit juice costs $6.04 per gallon and the soda costs $4.28 per gallon. How much fruit juice and how much soda should she use so that the punch costs $5.71 per gallon?

651.

The measure of one angle of a triangle is twice the measure of the smallest angle. The measure of the third angle is three times the measure of the smallest angle. Find the measures of all three angles.

652.

The length of a rectangle is five feet more than four times the width. The perimeter is 60 feet. Find the dimensions of the rectangle.

653.

Two planes leave Dallas at the same time. One heads east at a speed of 428 miles per hour. The other plane heads west at a speed of 382 miles per hour. How many hours will it take them to be 2,025 miles apart?

654.

Leon drove from his house in Cincinnati to his sister’s house in Cleveland, a distance of 252 miles. It took him 412412 hours. For the first half hour, he had heavy traffic, and the rest of the time his speed was five miles per hour less than twice his speed in heavy traffic. What was his speed in heavy traffic?

655.

Sara has a budget of $1,000 for costumes for the 18 members of her musical theater group. What is the maximum she can spend for each costume?

PreviousNext
Order a print copy
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 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/intermediate-algebra/pages/1-introduction

  • 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/intermediate-algebra/pages/1-introduction

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.

© Feb 9, 2022 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 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.