Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Chapter 3.2, Problem 46WE
To determine

To solve: the given equation for a .

Expert Solution & Answer
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Answer to Problem 46WE

The value of a in the given equation is a=32ora=32 .

Explanation of Solution

Given information:

Given equation

  |a|8=4

Concept used:

Absolute value of a function a is given by

  |a|={aa>0aa<00a=0 \

And

  |a|=a|a|=a

More over

  |x|=bx=borx=b

Calculation:

Consider the given equation,

  |a|8=4

Now, solve the equation by multiplying both sides by 8 as shown,

  |a|88=48|a|=32a=32ora=32

Hence, the value of a in the given equation is a=32ora=32 .

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

Ch. 3.1 - Prob. 11OECh. 3.1 - Prob. 12OECh. 3.1 - Prob. 13OECh. 3.1 - Prob. 14OECh. 3.1 - Prob. 15OECh. 3.1 - Prob. 16OECh. 3.1 - Prob. 17OECh. 3.1 - Prob. 18OECh. 3.1 - Prob. 19OECh. 3.1 - Prob. 20OECh. 3.1 - Prob. 21OECh. 3.1 - Prob. 1WECh. 3.1 - Prob. 2WECh. 3.1 - Prob. 3WECh. 3.1 - Prob. 4WECh. 3.1 - Prob. 5WECh. 3.1 - Prob. 6WECh. 3.1 - Prob. 7WECh. 3.1 - Prob. 8WECh. 3.1 - Prob. 9WECh. 3.1 - Prob. 10WECh. 3.1 - Prob. 11WECh. 3.1 - Prob. 12WECh. 3.1 - Prob. 13WECh. 3.1 - Prob. 14WECh. 3.1 - Prob. 15WECh. 3.1 - Prob. 16WECh. 3.1 - Prob. 17WECh. 3.1 - Prob. 18WECh. 3.1 - Prob. 19WECh. 3.1 - Prob. 20WECh. 3.1 - Prob. 21WECh. 3.1 - Prob. 22WECh. 3.1 - Prob. 23WECh. 3.1 - Prob. 24WECh. 3.1 - Prob. 25WECh. 3.1 - Prob. 26WECh. 3.1 - Prob. 27WECh. 3.1 - Prob. 28WECh. 3.1 - Prob. 29WECh. 3.1 - Prob. 30WECh. 3.1 - Prob. 31WECh. 3.1 - Prob. 32WECh. 3.1 - Prob. 33WECh. 3.1 - Prob. 34WECh. 3.1 - Prob. 35WECh. 3.1 - Prob. 36WECh. 3.1 - Prob. 37WECh. 3.1 - Prob. 38WECh. 3.1 - Prob. 39WECh. 3.1 - 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Prob. 7PCh. 3.4 - Prob. 8PCh. 3.4 - Prob. 9PCh. 3.4 - Prob. 10PCh. 3.4 - Prob. 11PCh. 3.4 - Prob. 12PCh. 3.4 - Prob. 13PCh. 3.4 - Prob. 14PCh. 3.4 - Prob. 15PCh. 3.4 - Prob. 16PCh. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - Prob. 20PCh. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - Prob. 23PCh. 3.4 - Prob. 24PCh. 3.4 - Prob. 25PCh. 3.4 - Prob. 26PCh. 3.4 - Prob. 27PCh. 3.4 - Prob. 28PCh. 3.4 - Prob. 29PCh. 3.4 - Prob. 30PCh. 3.4 - Prob. 31PCh. 3.4 - Prob. 32PCh. 3.4 - Prob. 33PCh. 3.4 - Prob. 1MRECh. 3.4 - Prob. 2MRECh. 3.4 - Prob. 3MRECh. 3.4 - Prob. 4MRECh. 3.4 - Prob. 5MRECh. 3.4 - Prob. 6MRECh. 3.4 - Prob. 7MRECh. 3.4 - Prob. 8MRECh. 3.4 - Prob. 9MRECh. 3.4 - Prob. 10MRECh. 3.4 - Prob. 11MRECh. 3.4 - Prob. 12MRECh. 3.5 - Prob. 1OECh. 3.5 - Prob. 2OECh. 3.5 - Prob. 3OECh. 3.5 - Prob. 4OECh. 3.5 - Prob. 5OECh. 3.5 - Prob. 6OECh. 3.5 - Prob. 7OECh. 3.5 - Prob. 8OECh. 3.5 - Prob. 9OECh. 3.5 - Prob. 10OECh. 3.5 - Prob. 11OECh. 3.5 - Prob. 12OECh. 3.5 - Prob. 1WECh. 3.5 - Prob. 2WECh. 3.5 - Prob. 3WECh. 3.5 - Prob. 4WECh. 3.5 - Prob. 5WECh. 3.5 - Prob. 6WECh. 3.5 - Prob. 7WECh. 3.5 - Prob. 8WECh. 3.5 - Prob. 9WECh. 3.5 - Prob. 10WECh. 3.5 - Prob. 11WECh. 3.5 - Prob. 12WECh. 3.5 - Prob. 13WECh. 3.5 - Prob. 14WECh. 3.5 - Prob. 15WECh. 3.5 - Prob. 16WECh. 3.5 - Prob. 17WECh. 3.5 - Prob. 18WECh. 3.5 - Prob. 19WECh. 3.5 - Prob. 20WECh. 3.5 - Prob. 21WECh. 3.5 - Prob. 22WECh. 3.5 - Prob. 23WECh. 3.5 - Prob. 24WECh. 3.5 - Prob. 25WECh. 3.5 - Prob. 26WECh. 3.5 - Prob. 27WECh. 3.5 - Prob. 28WECh. 3.5 - Prob. 29WECh. 3.5 - Prob. 30WECh. 3.5 - Prob. 31WECh. 3.5 - Prob. 32WECh. 3.5 - Prob. 33WECh. 3.5 - Prob. 34WECh. 3.5 - Prob. 35WECh. 3.5 - Prob. 36WECh. 3.5 - Prob. 37WECh. 3.5 - Prob. 38WECh. 3.5 - Prob. 39WECh. 3.5 - Prob. 40WECh. 3.5 - Prob. 41WECh. 3.5 - Prob. 42WECh. 3.5 - Prob. 43WECh. 3.5 - Prob. 44WECh. 3.5 - Prob. 45WECh. 3.5 - Prob. 46WECh. 3.5 - Prob. 47WECh. 3.5 - Prob. 48WECh. 3.5 - Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 5PCh. 3.5 - Prob. 6PCh. 3.5 - Prob. 7PCh. 3.5 - Prob. 8PCh. 3.5 - Prob. 9PCh. 3.5 - Prob. 10PCh. 3.5 - Prob. 11PCh. 3.5 - Prob. 12PCh. 3.5 - Prob. 13PCh. 3.5 - Prob. 14PCh. 3.5 - Prob. 15PCh. 3.5 - Prob. 16PCh. 3.5 - Prob. 17PCh. 3.5 - Prob. 18PCh. 3.5 - Prob. 19PCh. 3.5 - Prob. 20PCh. 3.5 - Prob. 1MRECh. 3.5 - Prob. 2MRECh. 3.5 - Prob. 3MRECh. 3.5 - Prob. 4MRECh. 3.5 - Prob. 5MRECh. 3.5 - Prob. 6MRECh. 3.5 - Prob. 7MRECh. 3.5 - Prob. 8MRECh. 3.5 - Prob. 9MRECh. 3.5 - Prob. 10MRECh. 3.5 - Prob. 11MRECh. 3.5 - Prob. 12MRECh. 3.5 - Prob. 1CECh. 3.5 - Prob. 2CECh. 3.5 - Prob. 3CECh. 3.5 - Prob. 4CECh. 3.5 - Prob. 5CECh. 3.5 - Prob. 6CECh. 3.5 - Prob. 1STCh. 3.5 - Prob. 2STCh. 3.5 - Prob. 3STCh. 3.5 - Prob. 4STCh. 3.6 - Prob. 1OECh. 3.6 - Prob. 2OECh. 3.6 - Prob. 3OECh. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.6 - Prob. 6PCh. 3.6 - Prob. 7PCh. 3.6 - Prob. 8PCh. 3.6 - Prob. 9PCh. 3.6 - Prob. 10PCh. 3.6 - Prob. 11PCh. 3.6 - Prob. 12PCh. 3.6 - Prob. 13PCh. 3.6 - Prob. 14PCh. 3.6 - Prob. 15PCh. 3.6 - Prob. 16PCh. 3.6 - Prob. 17PCh. 3.6 - Prob. 18PCh. 3.6 - Prob. 19PCh. 3.6 - Prob. 20PCh. 3.6 - Prob. 1MRECh. 3.6 - Prob. 2MRECh. 3.6 - Prob. 3MRECh. 3.6 - Prob. 4MRECh. 3.6 - Prob. 5MRECh. 3.6 - Prob. 6MRECh. 3.6 - Prob. 7MRECh. 3.6 - Prob. 8MRECh. 3.6 - Prob. 9MRECh. 3.6 - Prob. 10MRECh. 3.6 - Prob. 11MRECh. 3.6 - Prob. 12MRECh. 3.7 - Prob. 1OECh. 3.7 - Prob. 2OECh. 3.7 - Prob. 1PCh. 3.7 - Prob. 2PCh. 3.7 - Prob. 3PCh. 3.7 - Prob. 4PCh. 3.7 - Prob. 5PCh. 3.7 - Prob. 6PCh. 3.7 - Prob. 7PCh. 3.7 - Prob. 8PCh. 3.7 - Prob. 9PCh. 3.7 - Prob. 10PCh. 3.7 - Prob. 11PCh. 3.7 - Prob. 12PCh. 3.7 - Prob. 13PCh. 3.7 - Prob. 14PCh. 3.7 - Prob. 15PCh. 3.7 - Prob. 16PCh. 3.7 - Prob. 17PCh. 3.7 - Prob. 18PCh. 3.7 - Prob. 1MRECh. 3.7 - Prob. 2MRECh. 3.7 - Prob. 3MRECh. 3.7 - Prob. 4MRECh. 3.7 - Prob. 5MRECh. 3.7 - Prob. 6MRECh. 3.7 - Prob. 7MRECh. 3.7 - Prob. 8MRECh. 3.7 - Prob. 9MRECh. 3.7 - Prob. 1CECh. 3.7 - Prob. 2CECh. 3.8 - Prob. 1OECh. 3.8 - Prob. 2OECh. 3.8 - Prob. 3OECh. 3.8 - Prob. 1WECh. 3.8 - Prob. 2WECh. 3.8 - Prob. 3WECh. 3.8 - Prob. 4WECh. 3.8 - Prob. 5WECh. 3.8 - Prob. 6WECh. 3.8 - Prob. 7WECh. 3.8 - Prob. 8WECh. 3.8 - Prob. 9WECh. 3.8 - Prob. 10WECh. 3.8 - Prob. 11WECh. 3.8 - Prob. 1MRECh. 3.8 - Prob. 2MRECh. 3.8 - Prob. 3MRECh. 3.8 - Prob. 4MRECh. 3.8 - Prob. 5MRECh. 3.8 - Prob. 6MRECh. 3.8 - Prob. 7MRECh. 3.8 - Prob. 8MRECh. 3.8 - Prob. 9MRECh. 3.8 - Prob. 10MRECh. 3.8 - Prob. 11MRECh. 3.8 - Prob. 12MRECh. 3.8 - Prob. 1STCh. 3.8 - Prob. 2STCh. 3.8 - Prob. 3STCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - 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