Objective- To use the distributive property to simplify variable expressions. Distributive Property a(b + c) = ab + ac or a(b - c) = ab - ac Order of OperationsDistributive Property 6(3 + 5) 6(8) 48 6(3) + 6(5) Why distribute when order of operations is faster ?

Use the distributive property to simplify. 1) 3(x + 7) 2) 2(a - 4) 3) -7(8 - m) 4) 3(4 - a) 5) (3 - k)5 6) x(a + m) 7) -4(3 - r) 8) 2(x - 8) 9) -(2m - 3) 10) (6 - 2y)3 3x a m a k ax + mx r 2x m y

Use the distributive property to simplify. 1) 4(y - 7) 2) 3(b + 4) 3) -5(9 - m) 4) 5a(4 - a) 5) (7 - k)6 6) a(c + d) 7) - (-3 - r) 8) 4x(x - 8) 9) -5m(2m + 3) 10) (6 - 2y)-3y 4y b m 20a - 5a k ac + ad 3 + r 4x - 32x 2 -10m - 15m y

Geometric Model for Distributive Property Two ways to find the total area. Width by total lengthSum of smaller rectangles 4(3 + 7)

Geometric Model for Distributive Property Two ways to find the total area. Width by total lengthSum of smaller rectangles 4(3 + 7)4(3) + 4(7) 4(3)4(7) =

Geometric Model for Distributive Property 4 x 9 Two ways to find the total area. Width by total lengthSum of smaller rectangles 9(4 + x)9(4) + 9(x) =

Subtracting a Quantity 1) -(x + 6) 2) -(2x - 8) 3) 10- (4m + 3) 4) 2(x - 5) - (x - 3) 5) -(3a + 1) 6) -(-3x + 2x -7) 7) (3y - 8) 8) 4(3k - 5) - (2k + 9) -x x m m + 7 2x x + 3 x a x - 2x y y k k k