Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - Get Ready!: 13



Work Step by Step

In order to solve this algebraic expression, we must isolate the variable. A variable is the letter in the problem (for instance, in the equation x+2=10, x is the variable). Because addition and subtraction are inverse operations (they cancel each other out), we know we must add when a number is being subtracted from the variable and subtract when a number is being added to the variable. In the equation n-7=22.5, we must get rid of the 7, which is on the same side as n, in order to solve. Thus, we add 7 on both sides of the equation to find that n=29.5. We plug 29.5 in for n and confirm that our answer is, indeed, correct.
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