The Distributive Property CA 1.0, 4.0

The AREA of a rectangle is found using the formula Area Model 10 3 The AREA of a rectangle is found using the formula A = length ● width A = 3 ● 10 A = 30

Now we chop the rectangle 2 8 A = l ● w A = 3 ● 2 A = 6 A = l ● w A = 3 ● 8 A = 24 3 The total area is the two smaller areas combined: 6 + 24 30 This is the distributive property at work 3 (2 + 8) = 3 ● 2 + 3 ● 8 3 ● 10 = 6 + 24 30 = 30

** Always write the sign! The Distributive Property a(b + c) = ab + ac Example: Two times the quantity x plus 5 2 (x + 5) Step 1: Circle what is being distributed 2 (x + 5) Step 2: Box each term in the parenthesis 2 (x + 5) Step 3: Multiply circle to each box 2 (x + 5) ** Always write the sign! 2x +10

Try these: -7 (2z – 3y) (6x – 4)3

Try these: (2x – 9)(-1) ⅓(6x – 12)

Try these: 4(5x + 11) (x – 1)13

Try these: (9x – 4)(-4) ⅔ (9x – 21)

Try these: (x – 6)5 -8(2y – 9)