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Envision Math 2.0: Grade 7, Volume 1 View details

Review

Exercise 1 Page 246

Remember, only like terms can be combined.

1.3c - 4.7

Practice makes perfect

Before we try to simplify the given expression, let's use the Distributive Property so that we can get rid of the parentheses.

(5.2c - 7.35) + (- 3.9c + 2.65)

RemovePar

Remove parentheses

5.2c - 7.35 + (- 3.9c) + 2.65

To simplify this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined. 5.2c - 7.35 + ( - 3.9c) + 2.65 In this case, we have two c-terms and two constants. To simplify the expression we will rearrange it according to the Commutative Property of Addition and Associative Property of Addition.

5.2c - 7.35 + (- 3.9c) + 2.65

CommutativePropAdd

Commutative Property of Addition

5.2c + (- 3.9c) + 2.65 - 7.35

AssociativePropAdd

Associative Property of Addition

(5.2c - 3.9c) + (2.65 - 7.35)

SubTerms

Subtract terms

1.3c + (- 4.7)

AddNeg

a+(- b)=a-b