# Combining Like Terms Worksheet

## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

Combining like terms worksheet consist of collection of problems where the like terms need to be added. Like
terms combining is a tool to simplify an expression or equation by adding or subtracting. Two terms are like
terms when they have same variable part having same degree. 6x and 7 are not like terms since 2nd term
has no variable. 4x and 7x are like since variables match and degrees match. Now 3x^2 and 3x are not like
terms since they have different degree but same variable. Worksheet indicates list of problems.

Example 1: Simplify by combining like terms for the following

a.    4x + 5x

b.    3 + 5 + 6y + 3x

c.    5x^3 + 5y + 5x + 4x^3

Solution:

a.    4x + 5x = 9x

b.    3 + 5 + 6y + 3x = (3 + 5) + 6y + 3x = 8 + 6y + 3x

c.    5x^3 + 5y + 5x + 4x^3 = ( 5x^3 + 4x^3 ) + 5y + 5x = 9x^3 + 5y + 5x.

Example 2: Simplify by combining like terms for the following

a.    3x + 6y + 4x + 5x

b.    6x^3 + 3y^2 + 5x + 4x^3

Solution:

a.    3x + 6y + 4x + 5x = (3x + 4x + 5x) + 6y = 12x + 6y

b.      6x^3 + 3y^2 + 5x + 4x^3 = (6x^3 + 4x^3) + 3y^2 + 5x = 10x^3 + 3y^2 + 5x.