For the expression 7a - 2 + 3a + 5, what is the resulting constant term after combining like terms?

• A. 3
• B. 1
• C. 5
• D. -2

Answer: (A)

To find the resulting constant term after combining like terms in the expression (7a - 2 + 3a + 5), start by identifying and separating the like terms. The expression has two types of terms: the variable terms (involving (a)) and the constant terms.

First, combine the variable terms:

• The variable terms are (7a) and (3a).

• When you add these together, (7a + 3a = 10a).

Next, combine the constant terms:

• The constant terms here are (-2) and (5).

• When you add these together, (-2 + 5 = 3).

Thus, after combining all like terms, the expression simplifies to (10a + 3).

The constant term in this simplified expression is (3), which correctly corresponds to the answer choice provided. This step demonstrates the essential skill of combining like terms in algebra, which is crucial for simplifying expressions.