1. The Distributive Property
CA 1.0, 4.0

2. 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

3. Now we chop the rectangle2 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 ● ● 8
3 ● 10 =
30 = 30

4. ** Always write the sign!
The Distributive Property
a(b + c) = ab + ac
Example:
Two times the quantity x plus (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

5. Try these:
-7 (2z – 3y) (6x – 4)3

6. Try these:
(2x – 9)(-1) ⅓(6x – 12)

7. Try these:
4(5x + 11) (x – 1)13

8. Try these:
(9x – 4)(-4) ⅔ (9x – 21)

9. Try these:
(x – 6)5 -8(2y – 9)