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Envision Math 2.0: Grade 7, Volume 1

EM

Envision Math 2.0: Grade 7, Volume 1 View details

4. Expand Expressions

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Exercise 23 Page 212

Simplify the given expression using the Distributive Property.

A

Practice makes perfect

We are asked to determine the expression which is equivalent to the following expression. 1/5(5-7y+10) Let's first simplify the given expression. To do it, we will use the Distributive Property. We will distribute 15 to the terms inside the parentheses.

1/5(5-7y+10)

Distribute 1/5

1/5(5)+1/5(-7y)+1/5(10)

MoveRightFacToNum

a/c* b = a* b/c

1* (5)/5+1* (-7y)/5+1* (10)/5

Identity Property of Multiplication

5/5+-7y/5+10/5

MoveNegNumToFrac

Put minus sign in front of fraction

5/5+(-7y/5)+10/5

Remove parentheses

5/5-7y/5+10/5

Calculate quotient

1-7y/5+2

CommutativePropAdd

Commutative Property of Addition

1+2-7y/5

Add terms

3-7y/5

MovePartNumRight

a* b/c=a/c* b

3-7/5y

We found that the given expression is equivalent to 3- 7 5y. This result corresponds with the answer from option A.

Subchapter links

Do You Understand? p.210

Do You Know How? p.210

Practice & Problem Solving p.211-212

Assessment Practice p.212