1. DISTRIBUTIVE PROPERTY & COMBINING LIKE TERMS NOTES-9/_9__

2. DISTRIBUTIVE PROPERTY OF
_____________ OVER _________.
multiplication
addition
a (b + c) = __ __ + __ __
a b
a c
xy + xz = ___(___ + ____) x y z
5 ( x - y) = 5 __ - 5 ___ x y
- (2 - a) = -2 - ___ = _______ 1
(-1a)
-2 + 1a
= -2 + a

3. 5(2x-3) (3x+5)
+ - - 1
5 * 2x
- 5 * 3
+ -1 * 3x
+ -1 * 5
10x x + -5 7x
- 20

4. TERM
Any part of an expression or equation that is ___________ by __________ or ________ ________ .
separated
addition
subtraction
signs
EXAMPLES
2x + 1x
5 + 4x - y
3a2 + b - 5a2b - 2
2 terms
3 terms 4
________terms 1 2 3 4

5. Terms that have the same _____________parts
LIKE TERMS
Terms that have the same _____________parts
variable
or no variable parts.
EXAMPLES OF
LIKE TERMS
EXAMPLES OF
NON-LIKE TERMS
5x2, 3x2
6, 8
4a2b, 3a2b
5x, 5x2
6a, 8
4ab, 3a2b

6. ____________part of a term.
COEFFICIENTS
Numerical
____________part of a term.
5x2
5 is the coefficient
3a2b
3 is the coefficient 1 x
1 is the coefficient

7. COMBINING LIKE TERMS Adding
_________ or __________ the coefficients of _________ _________.
subtracting
like
terms
EXAMPLES
2x + 4x = 6x
(2 + 4) x or 6x distributive property
2w + w = 1 3w
5r - 3r = 2r
(5 - 3) r = 2r distributive property
3y + 7y - 6 =
10 y - 6
8x + 2y + 5x - y =
8x + 2y + 5x - y = 1
13x + 1 y 1y
13x
Hooray!