Algebraic Expression - unlike and like

An algebraic expression consisting of two or more like terms can be simplified by combining like terms.

Like terms are terms that have the same variable part i.e. they only differ in their coefficients.

For example:

2x and –5x are like terms

a and are like terms

6x and 5y are unlike terms

Like terms can be added or subtracted from one another.

Example :

Simplify the expressions:

a) 14x + 5x

b) 5y – 13y

c) p – 3p

Solution:

a) 14x + 5x = (14 + 5)x = 19x

b) 5y – 13y = (5 –13)y = –8y

c) p – 3p = (1 – 3)p = – 2p