Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Prealgebra

Practice Test

PrealgebraPractice Test

Practice Test

In the following exercises, translate from an algebraic equation to English phrases.

434.

6464

435.

15 x 15 x

In the following exercises, identify each as an expression or equation.

436.

5 8 + 10 5 8 + 10

437.

x + 6 = 9 x + 6 = 9

438.

3 11 = 33 3 11 = 33

439.
  1. Write nnnnnnnnnnnn in exponential form.
  2. Write 3535 in expanded form and then simplify.

In the following exercises, simplify, using the order of operations.

440.

4 + 3 5 4 + 3 5

441.

( 8 + 1 ) 4 ( 8 + 1 ) 4

442.

1 + 6 ( 3 1 ) 1 + 6 ( 3 1 )

443.

( 8 + 4 ) ÷ 3 + 1 ( 8 + 4 ) ÷ 3 + 1

444.

( 1 + 4 ) 2 ( 1 + 4 ) 2

445.

5 [ 2 + 7 ( 9 8 ) ] 5 [ 2 + 7 ( 9 8 ) ]

In the following exercises, evaluate each expression.

446.

8 x 3 when x = 4 8 x 3 when x = 4

447.

y 3 when y = 5 y 3 when y = 5

448.

6 a 2 b when a = 5 , b = 7 6 a 2 b when a = 5 , b = 7

449.

h w when h = 12 , w = 3 h w when h = 12 , w = 3

450.

Simplify by combining like terms.

  1. 6x+8x6x+8x
  2. 9m+10+m+39m+10+m+3

In the following exercises, translate each phrase into an algebraic expression.

451.

55 more than xx

452.

the quotient of 1212 and yy

453.

three times the difference of aandbaandb

454.

Caroline has 33 fewer earrings on her left ear than on her right ear. Call the number of earrings on her right ear, r.r. Write an expression for the number of earrings on her left ear.

In the following exercises, solve each equation.

455.

n 6 = 25 n 6 = 25

456.

x + 58 = 71 x + 58 = 71

In the following exercises, translate each English sentence into an algebraic equation and then solve it.

457.

1515 less than yy is 32.32.

458.

the sum of aa and 129129 is 164.164.

459.

List all the multiples of 4,4, that are less than 50.50.

460.

Find all the factors of 90.90.

461.

Find the prime factorization of 1080.1080.

462.

Find the LCM (Least Common Multiple) of 2424 and 40.40.

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 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/prealgebra/pages/1-introduction
  • 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/prealgebra/pages/1-introduction
Citation information

© 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 are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.