Download Combining Like Terms and Distributive Property

Combining Like Terms
Combing like terms is the process of combining (adding or subtracting) terms that are alike
(match).
Examples:
Expression
4x + 3
Simplified Expression
Alike or Not
4x + 3y
N 6/4x ± 3x2
ir\I 0 i
4x + 3x
Practice: ---roaat
J..
3xi+ 2x+ 7
r'Th
2. 4(J
11-
t:t
-Lc
Distributive Property
Solving Equation Using the Distributive Property
The distributive property allows us to remove the parentheses by distributing the value outside
the parentheses with each term located inside the parentheses. The distributive property is a
way to write an expression in expanded form.
xamp
3(6 + 9)
mere are tvo
textis inside the parenthese-k.
3(6+9k
Multiply ale a by. eWr
inside the pretattes_
3x6÷3x0
18+21=45
Rewrite
the
Whenever a number is being multiplied by each term inside a set of parentheses it should be
recognized as the distributive property. The distributive property is necessary to solve some
algebraic equations or to simplify some algebraic expressions.
e.mmple Salve 5(x -
10 al 5(g -8)=10 b) 5x - 40 -10 o) 5x =50 d
440 40
3- 7
Examples:
essions)
V
+ 3)
1.()(x
2.(5 —x )
3 -4. =6)( x + 4) .
/Ale
5.-8 ( x-2)
3. (r+
çx
+ 45—