1.5 The Distribute Property of Multiplication over Addition

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Presentation transcript:

1.5 The Distribute Property of Multiplication over Addition Objectives: 1.) Distributive property 2.) Factor

Distributive Property a(b + c) = ab + ac a(b + c) and ab + ac are equivalent expressions

5 (2x + 3)= 10x + 15

4 (3y - 2)= 12y - 8

(3t - 7)6 = 18t - 42

5(3k + 7n -1) = 15k + 35n - 5

Factoring ab + ac = a(b + c) Distributive Property a(b + c) = ab + ac Factoring ab + ac = a(b + c)

Steps To Factoring: 1.) Find a number that is divisible by all numbers (Its usually the smallest # or the smallest # divided by 2 or 3) 2.) Take that number out and put it on the outside of the ( ) 3.) Divide the # you factored out by EVERY TERM and put your answer inside the ( )

Factor: 3x + 3y 3(x + y)

Factor: 5x + 10 5•x + 5 •2 5(x + 2)

Factor: 9x + 27y - 18 9x + 9(3)y – 9(2) 9(x + 3y - 2)

Factor: 12 + 3x 3(4 + x)

Factor: 3xy +5x +7xz Answer: x( 3y+ 5 +7z)

Factor: 6x +3y +21 Answer: 3(2x +y +7)

Factor: 4 +8y +14z Answer: 2(2+4y+7z)

2.) Write down the problem Homework Page 27 (2-34) even Remember to: 1.) Title 2.) Write down the problem 3.) Show work 4.) Highlight answer