Section 1.8: Distributive Property with Variables November 13, 2010

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

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

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

Distributive Property Backwards! ab + ac = a(b + c) OR ba + ca = (b + c)a Examples: 9.) 4x + 8x 10. -3y + 5y

Distributive Property Backwards! ab - ac = a(b - c) OR ba - ca = (b - c)a Examples: 11.) 4x – (-3x) 12.) 6y – 8y

Distributive Property Madness! Assignment Distributive Property Madness!

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?