G8

Copyright © Swun MathCopyright © Swun Math Grade 8 Unit 4 Lesson 5 C TE

Homework

Unit 4 · Lesson 5: Simplify Expressions:
Distributive Property

Objective: I will simplify expressions by expanding the distributive property.

Vocabulary Steps:

Expression Equation Variable

ퟓퟓퟓퟓ풙풙ퟓퟓ−ퟗퟗ풙풙+ퟑퟑퟑퟑ=ퟕퟕ풎풎+ퟖퟖퟓퟓ

Term Coefficient Constant

Expand Expressions:

Distributive Property

3(n + 4) + 4(n + 2)

* Read as: 3 groups of (n+4) and 4 groups of (n +2)

(n + 4) +(n + 4)+ (n + 4) + (n + 2)+ (n + 2) +(n + 2) +(n + 2)

7n + 20

Collecting Like Terms:

Distributive Property

3(n + 4) + 4(n + 2)

3n + 12 + 4n + 8

7n + 20

1. Expand the expression.
   (Use the distributive property)


2. Collect like terms.


3. Simplify the expression.
   (Variable term first, then constant)

Example # 1 Example # 2

Directions: Rewrite as a sum and simplify.

2 (푥푥 + 4 )

Solution:

(푥푥 + 4) + (푥푥 + 4)

푥푥 + 푥푥 + 4 + 4

2 푥푥 + 8

3 (푦푦 − 3 )

Solution:

(푦푦− 3) + (푦푦− 3) + (푦푦− 3)

푦푦 + 푦푦 + 푦푦− 3 − 3 − 3

3 푦푦− 9

Name: ___

Date: ___