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Published byHartanti Atmadjaja Modified over 6 years ago
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1.5 The Distribute Property of Multiplication over Addition
Objectives: 1.) Distributive property 2.) Factor
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Distributive Property a(b + c) = ab + ac
a(b + c) and ab + ac are equivalent expressions
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5 (2x + 3)= 10x + 15
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4 (3y - 2)= 12y - 8
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(3t - 7)6 = 18t - 42
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5(3k + 7n -1) = 15k + 35n - 5
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Factoring ab + ac = a(b + c)
Distributive Property a(b + c) = ab + ac Factoring ab + ac = a(b + c)
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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 ( )
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Factor: 3x + 3y 3(x + y)
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Factor: 5x + 10 5•x + 5 •2 5(x + 2)
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Factor: 9x + 27y - 18 9x + 9(3)y – 9(2) 9(x + 3y - 2)
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Factor: x 3(4 + x)
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Factor: 3xy +5x +7xz Answer: x( 3y+ 5 +7z)
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Factor: 6x +3y +21 Answer: 3(2x +y +7)
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Factor: 4 +8y +14z Answer: 2(2+4y+7z)
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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
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