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2.7 Using the Distributive Property Goal: 1.)To multiply using the distributive property of multiplication over subtraction 2.)To factor

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

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Distributive Property SUBTRACTION 3(5 - 2) = 35 - 32

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5 (2x - 3)= - 1510x

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

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(3t - 7)6 =- 4218t

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-7(5y - 4) =+28-35y

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3.1 (2.5 x – 3 + 4.5y) Answer: 7.75 x + (-9.3) + 13.95 y

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-7/8 (2/3x – 1/2y -8) Answer: -7/12x + 7/16y +7

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

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Factoring The word factor means to divide You are looking to find a # that is divisible by the all of the numbers Set up this form: ____ ( ____ + ____) or ____ (____ + ___ +___)

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Tricks to Factoring Pick the smallest number you and try to divide it by the rest of the numbers If that does not work divide the smallest number by 2 or 3 or 5 then see if that number is divisible by the rest Make sure you answer is completely factored

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Factor : 10x - 15y 5(2x - 3y)

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Factor : 12x - 8 4(3x - 2)

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

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

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Factor: ua – ub – uc ua + - ub + - uc u (a+-b +-c)

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Factor: 2p – 1q- 5r 3 3 3 When you are asked to factor fractions you are going to factor out 1 over the cd and write the numerators in the ( ) 1/3 (2p +- 1q + - 5r)

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Assignment: Page 91 1-26 Show all work!!

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