Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo

Practice Test

In the following exercises, find the Greatest Common Factor in each expression.

457.

14 y 42 14 y 42

458.

−6 x 2 30 x −6 x 2 30 x

459.

80 a 2 + 120 a 3 80 a 2 + 120 a 3

460.

5 m ( m 1 ) + 3 ( m 1 ) 5 m ( m 1 ) + 3 ( m 1 )

In the following exercises, factor completely.

461.

x 2 + 13 x + 42 x 2 + 13 x + 42

462.

p 2 + p q 12 q 2 p 2 + p q 12 q 2

463.

3 a 3 6 a 2 72 a 3 a 3 6 a 2 72 a

464.

s 2 25 s + 84 s 2 25 s + 84

465.

5 n 2 + 30 n + 45 5 n 2 + 30 n + 45

466.

64 y 2 49 64 y 2 49

467.

x y 8 y + 7 x 56 x y 8 y + 7 x 56

468.

40 r 2 + 810 40 r 2 + 810

469.

9 s 2 12 s + 4 9 s 2 12 s + 4

470.

n 2 + 12 n + 36 n 2 + 12 n + 36

471.

100 a 2 100 a 2

472.

6 x 2 11 x 10 6 x 2 11 x 10

473.

3 x 2 75 y 2 3 x 2 75 y 2

474.

c 3 1000 d 3 c 3 1000 d 3

475.

a b 3 b 2 a + 6 a b 3 b 2 a + 6

476.

6 u 2 + 3 u 18 6 u 2 + 3 u 18

477.

8 m 2 + 22 m + 5 8 m 2 + 22 m + 5

In the following exercises, solve.

478.

x 2 + 9 x + 20 = 0 x 2 + 9 x + 20 = 0

479.

y 2 = y + 132 y 2 = y + 132

480.

5 a 2 + 26 a = 24 5 a 2 + 26 a = 24

481.

9 b 2 9 = 0 9 b 2 9 = 0

482.

16 m 2 = 0 16 m 2 = 0

483.

4 n 2 + 19 n + 21 = 0 4 n 2 + 19 n + 21 = 0

484.

( x 3 ) ( x + 2 ) = 6 ( x 3 ) ( x + 2 ) = 6

485.

The product of two consecutive integers is 156. Find the integers.

486.

The area of a rectangular place mat is 168168 square inches. Its length is two inches longer than the width. Find the length and width of the place mat.

Order a print copy

As an Amazon Associate we earn from qualifying purchases.

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/elementary-algebra-2e/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/elementary-algebra-2e/pages/1-introduction
Citation information

© Jan 23, 2024 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.