Envision Math 2.0: Grade 6, Volume 1
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7. Simplify Algebraic Expressions
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Exercise 13 Page 164

Remember, only like terms can be combined.

1 23b+6 23

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. 12 13b + 6 23 - 10 23b In this case, we have two b-terms and one constant. Only the b-terms can be combined, so to simplify the expression we will rearrange it according to the Distributive Property to combine the like terms.
12 13b+6 23-10 23b
12 13b-10 23b+6 23
(12 13-10 23)b+6 23
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Write mixed number as a fraction
( 12*3+1/3-10*3+2/3)b+6 23
( 36+1/3-30+2/3)b+6 23
( 37/3-32/3)b+6 23
5/3b+6 23
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Write fraction as a mixed number
3+2/3b+6 23
(3/3+2/3)b+6 23
(1+2/3)b+6 23
1 23b+6 23