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Section 1-7: The Distributive Property

Pearson Common Core Algebra I

I am learning to…

O Use the distributive property to simplify

expressions.

Example 1: Simplifying Expressions

O 5 𝑥 + 7

O 12 3 −1

6𝑡

Homework

O Page 50 #’s 9-24 all

Vocabulary Section 1-7

O Distributive Property:

O 𝑎 𝑏 + 𝑐 = 𝑎𝑏 + 𝑎𝑐

O 𝑏 + 𝑐 𝑎 = 𝑏𝑎 + 𝑐𝑎

O 𝑎 𝑏 − 𝑐 = 𝑎𝑏 − 𝑎𝑐

O 𝑏 − 𝑐 𝑎 = 𝑏𝑎 − 𝑐𝑎

Example 2: Rewriting Fraction Expressions

O4𝑥−16

3

O11+3𝑥

6

Example 3: Using Multiplication Property of -1O − 𝑎 + 5

O −(−𝑥 + 31)

Vocabulary Section 1-7

O Term- a number, a variable, or the product of

a number and one or more variables.

O Constant- a term that has no variables.

O Coefficient- a numerical factor of a term.

O Like Terms- terms that have the same

variable factors.

Example 4: Combining Like Terms

O 3𝑦 − 𝑦

O −7𝑚𝑛4 − 5𝑚𝑛4

O 7𝑦3𝑧 − 6𝑦𝑧3 + 𝑦3𝑧

Formative Assessment

O Page 50 #’s 10-40 even and 54-64 even