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
Distributive Property
a(b + c) = ab + ac or a(b – c) = ab - ac
A number next to parenthesisGets multiplied to all terms inside
Examples
1) Multiply r(a + b + c)
ra + rb + rc
7x+ySimplify all the way!
Like Terms- Have the same variables to same power2) Collect like terms 5x + 4y + 2x – 3y
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
Review Skill:
Factoring (monomial):Undoing the distributive propertyMake sure you find The GCF
Example 5: 2l + 2w 2(l + w)
This is important for much of what we do!! Learn it now!!!
xxxxxx 153525Example 6: 10x3-15x2 + 5x
5x is common to all
terms(If your good, leave
this step out!!)
)132(5 2 xxx
Marker Board• Simplify (Distribute and CLT)A.4x-15y-(-5x)+3y
B.12x-5(3x-6)
C. 8g-5[-2+6(g +10)]-2(g+4)
Factor
Assignment
• 1-4/24-25/1-84M4
