Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - Chapter Test - Page 53: 25

Answer

(in order) 1. Distributive Property 2. Associative Property of Addition 3.Identity Property of Multiplication 4. Distributive Property 5. Simple Addition

Work Step by Step

1. It is Distributive because the 5 multiplies into the $(t+1)$ 2. It is Associative Property of Addition because it does the exact same thing as $a + (b+c) = (a+b)+c$ 3. It is Identity Property of Multiplication because it achieves the same thing as $1*1 = 1$ except you replace one of the 1s with a $t$ 4. This is the Distributive property in reverse. Essentially we take $(1t + 5t)$ and pull out the $t$ leaving us with $(1+5)t$. This works because if you distribute back inside you get $(1t + 5t)$ again. 5. This is Simple Addition because all you are doing is adding $1 + 5$ in the expression $(1+5)t$. This leaves us with 6t
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