Do Now 10/2/09 Take out HW from last night. Take out HW from last night. Text p.81, #10-21 all, #33-35 all Text p.81, #10-21 all, #33-35 all Copy HW in your planner. Copy HW in your planner. Text p.74, #12-48 evens Text p.74, #12-48 evens Quiz sections Thursday Quiz sections Thursday In your journal, find the perimeter of the figure. (Hint: The answer will be a variable expression). In your journal, find the perimeter of the figure. (Hint: The answer will be a variable expression). 3x 5x x + 2

Simplifying Expressions in Geometry What is the perimeter of the trapezoid? What is the perimeter of the trapezoid? 3x 5x 1x + 2 Perimeter is the distance around a figure. 1x x + 1x x (reorder terms) (reorder terms) Add together each of the sides. 1x + 3x + 1x + 5x (combine like terms) 10x + 4

Homework Text p.81, #10-21 all, #33-35 all 10) terms: 10x, 7, 3x; like terms: 10x & 3x; coefficients: 10 & 3; constant terms: 7; simplified: 13x +7 10) terms: 10x, 7, 3x; like terms: 10x & 3x; coefficients: 10 & 3; constant terms: 7; simplified: 13x +7 11) terms: 4y, 23, -1y, -6; like terms: 4y & -1y; 23 & -6; coefficients: 4 & -1; constant terms: 23 & -6; simplified: 3y ) terms: 4y, 23, -1y, -6; like terms: 4y & -1y; 23 & -6; coefficients: 4 & -1; constant terms: 23 & -6; simplified: 3y ) terms: -19, -11a, 1a, 16; like terms: -11a & 1a, -19 & 16; coefficients: -11 & 1; constant terms: -19 & 16; simplified: -10a – 3 12) terms: -19, -11a, 1a, 16; like terms: -11a & 1a, -19 & 16; coefficients: -11 & 1; constant terms: -19 & 16; simplified: -10a – 3 13) terms: 2b, -8, 4b, -6b; like terms: 2b, 4b, & -6b; coefficients: 2, 4, & -6; constant terms: -8; simplified: -8 13) terms: 2b, -8, 4b, -6b; like terms: 2b, 4b, & -6b; coefficients: 2, 4, & -6; constant terms: -8; simplified: -8 14) terms: 9, 1n, -1, -7n; like terms: 1n & -7n, 9 & -1; coefficients: 1 & -7; constant terms: 9 & -1; simplified: -6n +8 14) terms: 9, 1n, -1, -7n; like terms: 1n & -7n, 9 & -1; coefficients: 1 & -7; constant terms: 9 & -1; simplified: -6n +8 15) terms: 8p, -5p, 5, -1p, -2; like terms: 8p, -5p & -1p; 5 & -2; coefficients: 8, -5, & -1; constant terms: 5 & -2; simplified: 2p ) terms: 8p, -5p, 5, -1p, -2; like terms: 8p, -5p & -1p; 5 & -2; coefficients: 8, -5, & -1; constant terms: 5 & -2; simplified: 2p + 3

16) 6x 16) 6x 17) 7a 17) 7a 18) -8b 18) -8b 19) 6x 19) 6x 20) 7c² 20) 7c² 21) 21y 21) 21y 33) x + x x + 1; 4x ) x + x x + 1; 4x ) a + 2a + (10 – 3a); 10 34) a + 2a + (10 – 3a); 10 35) 7y – 5 + 2y + 7y – 5 + 2y; 18y – 10 35) 7y – 5 + 2y + 7y – 5 + 2y; 18y – 10 Homework Text p.81, #10-21 all, #33-35 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 2.2, “The Distributive Property” Section 2.2, “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. -2(a + b) C. (8 – 7)(-9) D. 10(x + 2y - z) A). 3(x) + 3(7) 3x + 21 B). -2(a) + -2(b) -2a + (-2b) or -2a – 2b -2a + (-2b) or -2a – 2b C). (8)(-9) + (-7)(-9) = = -9 D). 10(x) + 10(2y) - 10(z) 10x + 20y - 10z

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

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

Homework -Text p.74, #12-48 evens Guided Practice Text p. 81, #22-30 evens Text p. 81, #22-30 evens

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