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

Published by Prentice Hall

# Chapter 1 - Foundations for Algebra - 1-7 The Distributive Property - Lesson Check - Page 49: 6

#### Answer

a) yes b) no c) yes d) no

#### Work Step by Step

Both a & c demonstrate the distributive property, showing multiplication where one of the factors is an expression that includes an addition or a subtraction operation. The first factor is multiplied by each of the terms in the other factor. Example b illustrates a situation where the distributive property could be applied, but the example does not actually show the use of the distributive property. Instead, this example illustrates the commutative property of multiplication by swapping the order of the factors. Example d does not illustrate a situation where the distributive could be used as the only operation in example d is addition. Instead, example d is an example of the associative property. The grouping of the addends is changed.

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