# Combining Like Terms TeacherWeb

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```					  Combining Like Terms
and
Combining Like Terms With
Parentheses
What are terms and like terms?

A term is a number, a variable, or a
product or quotient of numbers and
variables.
Ex. 5x2, x, 3, 7x, xy/4
LIKE TERMS are terms that contain the
same variables, with the same powers.
Ex. -3x and -5x, 7xy and -2xy,
8ax2 and 11ax2.
Simplify by combining like terms.
rules!!
1) 8xy  3xy  5xy      subtracting, KEEP
the same variables.

2) 9 xy  (7 xy)
Don’t forget to
first.
9 xy  7 xy
 2xy

of the number moves with                                     and 4

the number.

You can start by
3) 3x  3 y  8 x  2 y                 Regrouping like
Terms together.
3x  8x 3 y  2 y
5x 1y        You DO NOT have to write
5x  y       a ONE in front of a variable.
It is understood to be there.

4) x  2 x  x
2        2      2       What number is in front of the
variables with NO numbers?

1x  2 x  1x
2        2          2

3x  1x  2x
2    2     2
5) 2 y  6  5x  7 y  (3x)  2           Ex. 5

2 y  6  5 x  7 y  3x  2   Don’t forget to
FIX your
2 y  7 y 5x  3x 6  2       double signs
first.

9 y 8x 4

6) 7  3x y  xy  x y  3xy  9
8           8

7  9 3x y  1x y 1xy  3xy
8          8

2 4x y 4xy
8
Combining like terms with parentheses

7) 5x  5( x  4)  2( x  3)
5x 5x 20 2x 6
5x  5x  2x 20  6
10 x  2 x 14                Before you can
combine like terms,
8x 14                  you must FIRST get
rid of the ( ).

DISTRIBUTE!!!
8) 1  2(5  x)  x
1 10 2x x
9  x

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