Envision Math 2.0: Grade 7, Volume 1
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6. Add Expressions
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Exercise 6 Page 228

Remember, only like terms can be combined.

1/6n + 1/6m + 2/3

Practice makes perfect
We want to add two expressions. (1/3n + 2/3) + (- 1/6n + 1/6m)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. ( 1/3n + 2/3) + ( - 1/6n + 1/6m) In this case, we have two n-terms, one m-term, and one constant. Only the n-terms can be combined, so to simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.
(1/3n + 2/3) + (- 1/6n + 1/6m)
1/3n + 2/3 + (- 1/6n) + 1/6m
1/3n + (- 1/6n) + 1/6m + 2/3
1/3n - 1/6n + 1/6m + 2/3
2/6n - 1/6n + 1/6m + 2/3
1/6n + 1/6m + 2/3