lesson 1-4: the distributive property objectives: (do not write) use the distributive property to...

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