1. Section 1.8: Distributive Property with Variables
November 13, 2010

2. Distributive Property
Over Addition
a(b + c) = ab + ac OR (b + c)a = ba + ca
Examples:
1.) 4(a + 3) 2.) (3y + 2)6

3. Distributive Property
Over Subtraction
a(b – c) = ab – ac OR (b – c)a = ba – ca
Examples
3.) 6(2a – 3b) 4.) (-2x – 4)(-9)

4. You Try! 5.) 3(-2p + 8) 6.) 7(3r – 9s) 7.) (3b – 6)(-12)
8.) (-5g – 2h)(3)

5. Distributive Property Backwards!
ab + ac = a(b + c) OR ba + ca = (b + c)a
Examples:
9.) 4x + 8x y + 5y

6. Distributive Property Backwards!
ab - ac = a(b - c) OR ba - ca = (b - c)a
Examples:
11.) 4x – (-3x) ) 6y – 8y

7. Distributive Property Madness!
Assignment
Distributive Property Madness!

8. Vocabulary
Like Terms - all variable factors of the terms are identical.
Examples: Non- Examples:
4x + 12x 4x + 12y
8u – 3u 8u – 3v
Can you find a shortcut?