Combining Like Terms Worksheet

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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.




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