Factoring Expressions

Today we learned how to factor an expression, by pulling out the GCF and writing the new factors in the form of the distributive property

Factor the expression 45 +  60 using the GCF 

Step 1 - Prime Factorization

Step 2 - Write the GCF            GCF = 3 X 5  =  15

Step 3 - Write using the Distributive Property

 GCF ( First Circle    Operation    Second Circle)

15 ( 3 + 4)

Simplify Expressions/ Equivalent Expressions

Combine Like Terms

Distributive Property

Properties of Multiplication and Addition

**Use these properties to make Simplifying Expressions or finding Equivalent Expressions easier using mental math

Commutative Property 

Associative Property

Identity Property 

 

Property of Zero

Words in Math

Algebraic Expressions

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a +  4         for a = 2

2 + 4  =  6

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3C +  4         for C = 5

3(5) + 4  = 19

***Remember, when a number and letter are bumped up together it means to multiply :)

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3X      for X= 6

3(6) = 18

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XYZ + 2    for X = 2  Y = 4  Z=5

(2)(4)(5) + 2 = 42

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4( a + 5)        a = 2

4 (2+5)   =  28

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