## 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: 49

#### Answer

$p=24$

#### 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 2x=10, x is the variable). In the expression 3/8p=9, p is being multiplied by a fraction, which we must cancel out. In order to cancel out a fraction being multiplied by a variable, we multiply both sides of the equation by the reciprocal of the fraction, which is the fraction flipped upside down. (For instance, the reciprocal of ⅖ is 5/2). Thus, we multiply both sides of the equation by 8/3 to obtain that $p=24$. We plug 24 in for p and confirm that our answer is, indeed, correct.

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