Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
Mid-Chapter Quiz
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Exercise 16 Page 25

Remember, only like terms can be combined.

a+2b

The first step in simplifying this expression is to use the Distributive Property to eliminate the parentheses.
- (a+2b)+4(a+2b)-2(a+2b)
- a-2b+4(a+2b)-2(a+2b)
- a-2b+4a+8b-2a-4b
The next step 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. - a - 2b + 4a + 8b - 2a - 4b In this case, we have three a-terms and three b-terms. Both the a-terms and the b-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.
- a-2b+4a+8b-2a-4b
- a+4a-2a-2b+8b-4b
a+2b