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.
Continue to follow your integer
rules!!
                            When adding or
1) 8xy  3xy  5xy      subtracting, KEEP
                          the same variables.




2) 9 xy  (7 xy)
                        Don’t forget to
                     FIX your double signs
                             first.
    9 xy  7 xy
       2xy
 Notice that the sign in front                                 Ex. 3

  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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posted:10/24/2012
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