Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo

Practice Test

487.

For the polynomial 8y43y2+18y43y2+1

Is it a monomial, binomial, or trinomial? What is its degree?

488.

( 5 a 2 + 2 a 12 ) ( 9 a 2 + 8 a 4 ) ( 5 a 2 + 2 a 12 ) ( 9 a 2 + 8 a 4 )

489.

( 10 x 2 3 x + 5 ) ( 4 x 2 6 ) ( 10 x 2 3 x + 5 ) ( 4 x 2 6 )

490.

( 3 4 ) 3 ( 3 4 ) 3

491.

x −3 x 4 x −3 x 4

492.

5 6 5 8 5 6 5 8

493.

( 47 a 18 b 23 c 5 ) 0 ( 47 a 18 b 23 c 5 ) 0

494.

4 −1 4 −1

495.

( 2 y ) −3 ( 2 y ) −3

496.

p −3 · p −8 p −3 · p −8

497.

x 4 x −5 x 4 x −5

498.

( 3 x −3 ) 2 ( 3 x −3 ) 2

499.

24 r 3 s 6 r 2 s 7 24 r 3 s 6 r 2 s 7

500.

( x 4 y 9 x −3 ) 2 ( x 4 y 9 x −3 ) 2

501.

( 8 x y 3 ) ( −6 x 4 y 6 ) ( 8 x y 3 ) ( −6 x 4 y 6 )

502.

4 u ( u 2 9 u + 1 ) 4 u ( u 2 9 u + 1 )

503.

( m + 3 ) ( 7 m 2 ) ( m + 3 ) ( 7 m 2 )

504.

( n 8 ) ( n 2 4 n + 11 ) ( n 8 ) ( n 2 4 n + 11 )

505.

( 4 x 3 ) 2 ( 4 x 3 ) 2

506.

( 5 x + 2 y ) ( 5 x 2 y ) ( 5 x + 2 y ) ( 5 x 2 y )

507.

( 15 x y 3 35 x 2 y ) ÷ 5 x y ( 15 x y 3 35 x 2 y ) ÷ 5 x y

508.

( 3 x 3 10 x 2 + 7 x + 10 ) ÷ ( 3 x + 2 ) ( 3 x 3 10 x 2 + 7 x + 10 ) ÷ ( 3 x + 2 )

509.

Use the Factor Theorem to determine if x+3x+3 a factor of x3+8x2+21x+18.x3+8x2+21x+18.

510.

Convert 112,000 to scientific notation. Convert 5.25×10−45.25×10−4 to decimal form.

In the following exercises, simplify and write your answer in exponential notation.

511.

( 2.4 × 10 8 ) ( 2 × 10 −5 ) ( 2.4 × 10 8 ) ( 2 × 10 −5 )

512.

9 × 10 4 3 × 10 −1 9 × 10 4 3 × 10 −1

513.

For the function f(x)=6x23x9f(x)=6x23x9 find:
f(3)f(3) f(−2)f(−2) f(0)f(0)

514.

For f(x)=2x23x5f(x)=2x23x5 and g(x)=3x24x+1,g(x)=3x24x+1, find
(f+g)(x)(f+g)(x) (f+g)(1)(f+g)(1)
(fg)(x)(fg)(x) (fg)(−2)(fg)(−2)

515.

For functions
f(x)=3x223x36f(x)=3x223x36 and
g(x)=x9,g(x)=x9, find
(fg)(x)(fg)(x) (fg)(3)(fg)(3)

516.

A hiker drops a pebble from a bridge 240 feet above a canyon. The function h(t)=−16t2+240h(t)=−16t2+240 gives the height of the pebble tt seconds after it was dropped. Find the height when t=3.t=3.

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/intermediate-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/intermediate-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.