## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 2 - Solving Equations - 2-1 Solving One-Step Equations - Practice and Problem-Solving Exercises - Page 85: 12

v=18

#### Work Step by Step

Addition 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 v+5=23, we must get rid of the 5, which is on the same side as v, in order to solve. Thus, we subtract 5 on both sides of the equation to find that v=18. We plug 18 in for v in our original equation and confirm that our answer is, indeed, correct.

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