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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 3 Page 170

Simplify the expression 9(y+ 13). Can the simplified expression be written as 3y+3 using properties of operations?

No

Practice makes perfect

We are asked to determine if the two following expressions are equivalent. 3y+3and9(y+1/3) Let's try to simplify the second expression using the Distributive Property.

9(y+1/3)

Distribute 9

9 y+9(1/3)

MoveLeftFacToNumOne

a* 1/b= a/b

9 y+ 9/3

Calculate quotient

9y+3

We found that 9(y+ 13) and 9y+3 are equivalent. 9(y+1/3)=9y+3 Notice that the expression 9y+3 is not equivalent to 3y+3 because we cannot turn 9 into 3 using properties of operations. 9y+3 & ≠ 3y+3 &⇕ 9(y+1/3) & ≠ 3y+3 This means that 9(y+ 13) is not equivalent to 3y+3.

Expressions	Are They Equivalent?
9(y+1/3)and 3y+3	No

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