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Envision Math 2.0: Grade 6, Volume 1

EM

Envision Math 2.0: Grade 6, Volume 1 View details

Review

Exercise 4 Page 170

Try to write one expression as the other expression using properties of operations.

Yes

Practice makes perfect

We are asked to determine if the two following expressions are equivalent. 6(3x+1) and 9x+6+9x Let's simply the second expression using properties of operations.

9x+6+9x

CommutativePropAdd

Commutative Property of Addition

9x+9x+6

Factor out x

(9+9)x+6

Add terms

18x+6

From here we can use the Distributive Property in reverse order to factor out 6.

18x+6

SplitIntoFactors

Split into factors

6* 3x+6* 1

Factor out 3

6(3x+1)

The simplified version of the expression matches the first one! We found that the expressions are equivalent.

Expressions	Are They Equivalent?
6(3x+1)and9x+6+9x	Yes

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