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Mastering Distributive Property in Mathematics

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Learn how to simplify expressions using the distributive property with examples and practice worksheets. Understanding the Distributive Property is key to solving equations.

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Mastering Distributive Property in Mathematics

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  1. Do Now 11/4/13 • Take out HW from Friday. • Punchline worksheets #49 • Copy HW in your planner. • Practice worksheet #1-18 all • In your notebook, evaluate the following expression 3(2 + 4). Then evaluate the following expression using the distributive property 3(x + 4).

  2. E. 7 A. -5 U. 27 E. 15 T. 77 B. 25° HomeworkPunchline worksheet #49 • T. 11 • L. 13 • I. -60 • A. -16 • L. 50 • K. 44° • C. -1 • N. 2 • T. 9 • W. 26 • S. -2.5 • W. 110° IT WASN’T A WELL BUCKET

  3. Objective • SWBAT simplify expressions using the distributive property

  4. Distributive Property Multiply across Parentheses = 3(2) + 3(4) 3(2 + 4) 3(6) 18 = 6 + 12 = 18 Think of it as looking to DISTRIBUTE something

  5. Section 11.2, “Solving Multi-Step Equations” Multiply across Parentheses a(b + c) = a(b) + a(c) = ab + ac a(b – c) a(b +(-c)) = a(b) + (a)(-c) “Opp-Opp” = ab + (-ac) ab – ac or

  6. Simplify the Expression Multiply across Parentheses 3(x + 7) = 3(x) + 3(7) = 3x + 21 5(y – 4) 5(y +(-4)) = 5(y) + (5)(-4) “Opp-Opp” = 5y + (-20) 5y – 20 or

  7. The Distributive PropertyOrder doesn’t matter… DISTRIBUTIVE PROPERTY- (b + c)a = ba + ca (b - c)a = ba + (-ca)

  8. Simplify the Expression Multiply across Parentheses (x + 4) 2 = 2(x) + 2(4) = 2x + 8 -7(5 – 2r) -7(5 +(-2r)) = -7(5) + (-7)(-2r) “Opp-Opp” = -35 + 14r

  9. Simplify the Expression Multiply across Parentheses Place a ‘1’ in front of the parentheses when you have a subtraction sign. – (4 – 3r) -1(4 +(-3r)) 1 = -1(4) + (-1)(-3r) “Opp-Opp” = -4 + 3r

  10. 3(x + 8) -2(a + b) (8 – x)(-9) – (x + 2y - 4z) A). 3(x) + 3(8) 3x + 24 Simplify the Expression B). -2(a) + (-2)(b) -2a + (-2b) or -2a – 2b C). (8)(-9) + (-1x)(-9) -72 + 9x D). -1(x) + (-1)(2y) + (-1)(-4z) -1x + (-2y) + 4z (-1)(x + 2y - 4z)

  11. Find the Area of the Figures 8 – 12w 8 – 3y 9 12 Area = length x width Area = (½)bh Area = (9)(8 – 12w) Area = (½)(12)(8 – 3y) Area = 72 – 108w units² Area = 6(8 – 3y) Area = 48 – 18y units²

  12. 3x – (x + 7) 3x + (-1)(x + 7) 3x + (-1x) + (-7) 2x + (-7) Challenge

  13. Homework 24 - Practice worksheet #1-18 all

  14. Distributive Property Using Algebra Tiles Write an expression for the area model. =x Use the distributive property to simplify =1 = (x+2) 2x+4 2 =

  15. 1) -6 3) 32 5) 11 7) -7 9) -40 11) 15 13) -9 15) -1 HomeworkPunchline worksheet #44 • 2) -24 • 4) -35 • 6) -12 • 8) 42 • 10) 45 • 12) 99 • 14) 70 • 16) -160 The guy who invested in feathers because he heard the stock market was going down?

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