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Envision Math 2.0: Grade 6, Volume 1 View details

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Exercise 5 Page 170

Think about the different Properties of Operations.

2x+8

Practice makes perfect

Equivalent expressions are equal no matter what number is substituted for the same variable in the expressions. Consider the given expression. 2(x+4)

There are many ways we can look at this expression. First, we can see it as the product of two factors. One way to get an equivalent expression is to use the Distributive Property. 2(x+4)&=2(x)+2(4) &=2x+8 There are other properties, or combinations of properties, that can be used to write equivalent expressions. Let's check out a couple of these other options!

Equivalent Expressions
Property	Expression
Distributive Property	2x+8
Commutative Property of Addition	2(4+x)
Distributive Property and Commutative Property of Addition	8+2x
Commutative Property of Multiplication and Commutative Property of Addition	(4+x)2

Subchapter links

Topic Essential Question p.167

Vocabulary Review p.167

Use Vocabulary in Writing p.167

1 Understand and Represent Exponents p.168

2 Find Greatest Common Factor and Least Common Multiple p.168

3 Write and Evaluate Numerical Expressions p.169

4-5 Write and Evaluate Algebraic Expressions p.169

6 Generate Equivalent Expressions p.170

7 Simplify Algebraic Expressions p.170

Exercise 5 Page 170

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