Like Terms
Topic Index | Algebra Index | Regents Exam Prep Center

 

Monomials that have the same
variable factors
 are called like terms.  

The simplest "like terms" are numbers (constants).  Remember the "variable" in a constant term
is represented as x0, which is 1.    5 = 5x0 = 5•1 = 5


Like Terms

The terms 4x² and 5x² are like terms because each term has x² as a common factor.  Because these values are like terms, they can be combined by addition or subtraction.  Simply add or subtract the numbers in front of the terms (called coefficients).
4x² + 5x² = 9x²

 

Like Terms
Like Terms
Not Like Terms

 

Algebra tiles can help you recognize and work with like terms
  Tiles of the
same size represent like terms.

Key: Slike10.jpg  = x² Slike11.jpg

 

  2x²       +       3x²      =          5x²
  Slike1.gif

 

  3x   +    (-4x)       =         -x
  Slike12.gif

Remember, yellow and red tiles of the same size add to zero.