Do Now 9/23/09 Take out HW from last night. - Textbook page 95, #1-13 all - Textbook page 95, #1-13 all Copy HW in planner. - Textbook page , #14-24 even and #32-50 even - Textbook page , #14-24 even and #32-50 even In your journal, continue to work on the NJASK7 Prep question from yesterday. Did you write your “umm” statement yet? In your notebook, define the word “distribute” in your own words. Write two sentences of when you have used or heard the word distribute before.
Homework Text p. 95, #1-13 all
Objective SWBAT apply the distributive property to solve problems SWBAT apply the distributive property to solve problems
Evaluate. 5(11 + 2) 5(11) + 5(2) This means to multiply 65 65
Section 2.6, The Distributive Property Section 2.6, The Distributive Property DISTRIBUTIVE PROPERTY- a(b + c) = ab + ac Both of these expressions are EQUIVALENT EXPRESSIONS- meaning they have the same value. a(b - c) = ab - ac
The Distributive Property Order doesn’t matter… The Distributive Property Order doesn’t matter… DISTRIBUTIVE PROPERTY- (b + c)a = ba + ca Both of these expressions are EQUIVALENT EXPRESSIONS- meaning they have the same value. (b - c)a = ba - ca
Distributive Property Multiply across Parentheses 3(2 + 4) = 3(2) + 3(4) 3(6) = (6) = = 18 Think of it as looking to DISTRIBUTE something DISTRIBUTE
Evaluate A. 3(x + 7) B. a(a + b) C. (8 – 7)9 D. 10(x + 2y - z) A). 3(x) + 3(7) 3x + 21 B). a(a) + a(b) a² + ab a² + ab C). (8)9 + (-7) (-63) = (-63) = 9 D). 10(x) + 10(2y) - 10(z) 10x + 20y - 10z
Parts of an Expression -x + 2x + 8 Terms of the expression Coefficient the number part of the term Constant Term that has no variable Like Terms terms that have the same variable
Parts of an Expression 3x + 2x + 8 3x + 2x + 8 Like Terms terms that have The same variable COLLECTING LIKE You can simplify an expression by COLLECTING LIKETERMS 3x + 2x + 8 3x + 2x + 8 5x + 8 5x + 8
Parts of an Expression 7x² + 5x x x² 1) List the terms of the expression. 2) List the coefficients of the expression. 3) List the like terms of the expression. 4) List the constant terms of the expression. 5) Simplify the expression. 7x², 5x, 8, -2x, 12, x² 7, 5, -2, 1. 7x² and x²; 5x and -2x, 8 and 12 8 and 12 8x² + 3x + 20 First write the expression as a SUM. 7x² + 5x (-2x) x²
Find the Perimeter and Area of the Figure 8 – 12w 9 Perimeter = 2(L) + 2(W) Perimeter = 2(9) + 2(8 – 12w) Perimeter = – 24w) = 34 – 24w Area = length x width Area = (9)(8 – 12w) Area = 72 – 108w
Homework - Textbook page , #14-24 even and #32-52 even 24
Distributive Property Using Algebra Tiles Write an expression for the area model. = (x+2) (x+2)2x+4 = =1 =x 2 Use the distributive property to simplify