## Algebra 1

Published by Prentice Hall

# Chapter 1 - Foundations for Algebra - Cumulative Test Prep - Multiple Choice - Page 74: 1

b

#### Work Step by Step

Simplify each expression. Use the order of operations to determine which terms to simplify first. a) $4(-2-3)\longrightarrow$ resolve subtraction within parentheses =$4(-5)\longrightarrow$ multiply =$-20$ b) $4(-2-3)^2-(-2)\longrightarrow$ resolve subtraction within parentheses =$4(-5)^2+2\longrightarrow$ resolve exponent; -5 is the factor since the exponent is outside the parentheses =$4(25)+2\longrightarrow$ multiply =$100+2\longrightarrow$ add =$102$ c) $4(-2-3)^3+(-2)\longrightarrow$ subtract within parentheses =$4(-5)^3+(-2)\longrightarrow$ resolve exponent; -5 is the factor since the exponent is outside the parentheses =$4(-125)+(-2)\longrightarrow$ multiply =$-500+(-2)\longrightarrow$ add =$-502$ d) $\frac{4}{-2}-(-2)(3)\longrightarrow$ divide the fraction =$-2-(-2)(3)\longrightarrow$ multiply =$-2-(-6)\longrightarrow$ change subtraction to addition by reversing the sign of the following addend =$-2+6\longrightarrow$ add =$4$ At 102, b has the greatest value of the 4 expressions.

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