2.4 THE DISTRIBUTIVE PROPERTY
a(b + c) = (b + c)a = a(b ­ c) = REVERSE: ab + ac = a(b + c)
used to combine like terms / factoring
1
Use the distributive property to simplify the following
Example 1
a.
6 x 82
b. 99 x 3
c. 8 x 10.5
d. 25 (14)
2
Simplify the expression:
It is in simplest form when the expression has no grouping symbols or like terms
Example 2
a.
2(3x +4)
b. (2x ­ 1)5
c. ­3(4y ­ 6)
d.
­(7x +3) 3
6x ­ 5xy + 3y ­ 12
Term: Constant: Coefficient: Like Terms:
An expression is in simplest form when the expression has no grouping symbols or like terms
4
Combining Like Terms
Simplify each expression. Example 3 a. 9x + 3x
2
b. 6b ­ b
2
c. ­3x + x +5x +4x
2
d. 3k + k 5
Classwork/Homework
2.5 Pg 82 # 1-3, 15-41 odd
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