Question

If you combine like-terms, how many terms will there be? 3h - 12 + 4h + 4.

A. 2
B. 3
C. 4
D. 1.

Answer 1

Combining like terms in the expression '3h - 12 + 4h + 4' results in two terms: '7h' and '-8', making the correct answer B. 3.

Step-by-step explanation:

When combining like terms in the expression 3h - 12 + 4h + 4, we are looking for terms that are similar, that is, they contain the same variable raised to the same power. Here '3h' and '4h' are like terms because they both contain the variable 'h' to the first power. We add these terms together to simplify the expression.

Combine the like terms:
3h + 4h = 7h
We also combine the constant terms '-12' and '+4' to get:
-12 + 4 = -8
After combining like terms, we are left with:
7h - 8.

There are two distinct terms in this simplified expression, so the correct answer is B. 3.