Example #1 2(a + 3) - 1(2a - 1) 2a + 6 -2a + 1 2a - 2a + 6 + 1 6 + 1 7
Example #2 5a - 1/2(2a + 4) 5a -a - 2 4a - 2
Remember that perimeter is the sum of ALL the sides Visual Diagrams Remember that perimeter is the sum of ALL the sides Write an expression for the perimeter b - 2a a a a a b - 2a b - 2a a a a a b - 2a
4 (b-2a) +8 a 4b - 8a + 8a 4b Visual Diagrams (b-2a) + a + a + (b-2a) + a + a+ (b-2a) + a + a + (b-2a) + a + a 4 (b-2a) +8 a 4b - 8a + 8a 4b
Visual Diagrams You try this one. Write an expression for the perimeter You try this one. x + 4 2x y y + 1 y+1 y + 1 2x y x + 4
Visual Diagrams (x+ 4) + y + (y+1) + (y+1) + (x+1) + y + (x+4) + 2x + 2x 2(x+ 4) + 3(y+ 1) + 2y + 4x 2x + 8 + 3y + 3 + 2y + 4x 6x + 5y + 11
Visual Diagrams Write an expression for the perimeter a + 2b a + 2b
Visual Diagrams (a + 2b) + (a + 2b) + (2a - b) + (4 - 2b) + (2a - b) + (a + 2b) + (a + 2b) + (2a - b) + (4 - 2b) + (2a - b) 4(a +2b) + 4(2a - b) + 2(4 - 2b) 4a + 8b + 8a - 4b + 8 - 4b 12a + 8
Distributive Property 1.) 6(3x - 5) 2.) -(2x - 8) 3.) -7(3x + 7) 4.) 2 + 4(5x - 3)
Distributive Property 5.) 4 - (2x - 7) 6.) 6 -3(5x - 7) 7.) 2x-7(x + 3) 8.) 2(3x - 5y) + 4(5x - 3)
Answers 1.) 18x - 30 2.) -2x + 16 3.) -21x - 49 4.) 20x -10
Answers 5.) -2x + 11 6.) -15x + 27 7.)-5x - 21 8.) 26x -10y -12
Classwork Do Algebra word search Homework: page 98 (9-45 0dd) Show all your work