WARM UP Simplify the following 1 6 2

WARM UP Simplify the following. 1) 6) 2) 7) 3) 8) 4) 9) 5) 10)

Note #6 Standard: 13 2. 6 The Distributive Property Objective- To use the distributive property P. 100

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 Operations 6(3 + 5) 6(8) 48 Distributive Property 6(3 + 5) 6(3) + 6(5) 18 + 30 48 Why distribute when order of operations is faster ?

Use the distributive property to simplify. 1) 3(x + 7) 6) x(a + m) 3 x + 21 ax + mx 2) 2(a - 4) 7) -4(3 - r) 2 a - 8 -12 + 4 r 3) -7(8 - m) 8) 2(x - 8) -56 + 7 m 2 x - 16 4) 3(4 - a) 9) -(2 m - 3) 12 - 3 a -2 m + 3 5) (3 - k)5 10) (6 - 2 y)3 15 - 5 k 18 - 6 y

Use the distributive property to simplify. 1) 4(y - 7) 6) a(c + d) 4 y - 28 ac + ad 2) 3(b + 4) 7) - (-3 - r) 3 b + 12 3+r 3) -5(9 - m) 8) 4 x(x - 8) -45 + 5 m 4 x 2 - 32 x 4) 5 a(4 - a) 9) -5 m(2 m + 3) 2 20 a - 5 a -10 m 2 - 15 m 5) (7 - k)6 10) (6 - 2 y)-3 y 2 42 - 6 k -18 y +6 y

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

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

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

Subtracting a Quantity 1) -(x + 6) -x - 6 2) -(2 x - 8) -2 x + 8 3) 10 - (4 m + 3) 10 - 4 m - 3 - 4 m + 7 4) 2(x - 5) - (x - 3) 2 x - 10 - x + 3 x-7 5) -(3 a + 1) -3 a - 1 2 6) -(-3 x + 2 x -7) 2 +3 x - 2 x + 7 7) -12 - (3 y - 8) -12 - 3 y + 8 - 3 y - 4 8) 4(3 k - 5) - (2 k + 9) 12 k - 20 - 2 k - 9 10 k - 29