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4 votes
Simplify. 16+4q+11+10q
a. 14q+27
b. 14q+60
c. 25q+16
d. 40q+31

1 Answer

6 votes

Final answer:

Combine like terms by adding 16 and 11 to get 27, and adding 4q and 10q to get 14q. The simplified expression is 14q + 27, which matches answer (b).

Step-by-step explanation:

To simplify the expression 16 + 4q + 11 + 10q, we must combine like terms. Like terms are terms in an algebraic expression that have the same variables raised to the same power. In this case, 4q and 10q are like terms, and 16 and 11 are like terms.

First, combine the constant terms: 16 + 11 = 27.

Then, combine the q terms: 4q + 10q = 14q.

Finally, your simplified expression is 14q + 27.

So, the simplified answer is (b) 14q + 27.