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How to Combine Like Terms? (+FREE Worksheet!)

Learn how to combine 'like' terms (terms with the same variable and same power) to simplify algebraic expressions.

How to Combine Like Terms? (+FREE Worksheet!)

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Step-by-step guide to combining like terms

  • Terms are separated by “+” and “ “signs.
  • Like terms are terms with the same variables and same powers.
  • Be sure to use the “+” or “ “that is in front of the coefficient.

Combining like Terms – Example 1:

Simplify this expression. (2)(2x 2)+2x=

Solution:

First use Distributive Property formula: a(b + c)=ab + ac
(2)(2x 2)=4x + 4

Now, combine like terms: 4x+2x=2x

Then: 4x + 4 +2x=2x+4

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Combining like Terms – Example 2:

Simplify this expression. 4( 2x + 6)=

Solution:

Use Distributive Property formula: a(b + c)=ab + ac
4( 2x + 6)= 8x + 24

Combining like Terms – Example 3:

Simplify this expression. 8x 6 2x=

Solution:

Combine like terms: 8x 2x=6x

Then: 8x6 2x=6x 6

Combining like Terms – Example 4:

Simplify this expression. (3)(2x2)+6=

Solution:

First use Distributive Property formula: a(b+c)=ab+ac
(3)(2x2)=6x+6
Now, combining like terms: 6+6=12
Then: 6x+6+6=6x+12

Exercises for Combining Like Terms

Simplify each expression.

  • (11x) 10x
  • 3x 125x
  • 13+4x 5
  • (22x)+8x
  • 2(4+3x) 7x
  • (4x) (614x)

Download Combining like Terms Worksheet

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Answers

  • 21x
  • 2x12
  • 4x+8
  • 14x
  • x+8
  • 10x6

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Original price was: $29.99.Current price is: $19.99.
Original price was: $29.99.Current price is: $19.99.
Original price was: $29.99.Current price is: $19.99.

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