Envision Math 2.0: Grade 6, Volume 1
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7. Simplify Algebraic Expressions
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Exercise 9 Page 164

Remember, only like terms can be combined.

3 12x+2

Practice makes perfect
The first step in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined. 4x + 2 - 1/2x In this case, we have two x-terms and one constant. Only the x-terms can be combined, so to simplify the expression we will rearrange it according to the Distributive Property to combine the like terms.
4x+2-1/2x
4x-1/2x+2
(4-1/2)x+2
(8/2-1/2)x+2
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Write fraction as a mixed number
7/2x+2
6+1/2x+2
(6/2+1/2)x+2
(3+1/2)x+2
3 12x+2