1. Lesson 1-4: The Distributive Property
Objectives: (Do not write)
Use the distributive property to multiply expressions.
Students will use properties to collect and simply terms

2. A number next to parenthesis Gets multiplied to all terms inside
Like Terms- Have the same variables to same power
2) Collect like terms 5x + 4y + 2x – 3y
Simplify all the way!
7x+y
Distributive Property
a(b + c) = ab + ac or a(b – c) = ab - ac
A number next to parenthesis
Gets multiplied to all terms inside
Examples
Multiply r(a + b + c)
ra + rb + rc

3. (Just distributing a -1)
Multiplicative Property of -1: a • -1 = -a
Inverse Sum Property: -(a + b) = -a + -b or -a – b
A negative in front of parenthesis turns everything inside to its opposite!
(Just distributing a -1)
Example 3: -(-3x)
-1*(-3x) 3x
Example 4: -(-3x - 2y + 1)
3x +2y -1

4. Factoring : Undoing the distributive property Make sure you find The GCF
Example 5: 2l + 2w
2(l + w)
This is important for much of what we do!! Learn it now!!!
5x is common to all terms
(If your good, leave this step out!!)
Example 6: 10x3-15x2 + 5x