What is the simplified result for 8a + 5a - 2a - 3a?

• A. 8a
• B. 5a
• C. 10a
• D. 3a

Answer: (B)

To simplify the expression 8a + 5a - 2a - 3a, we start by identifying and combining the like terms. Like terms are the terms that contain the same variable raised to the same power. In this case, all terms involve the variable 'a'.

First, we can add the positive coefficients together:

8a + 5a = 13a

Next, we combine the negative coefficients:

-2a - 3a = -5a

Now we take the sum of the positive part and the negative part:

13a + (-5a) = 13a - 5a = 8a

This gives us the final simplified result of 8a. Thus, the correct answer is 8a, which corresponds to the first choice.

Understanding how to combine like terms is essential in algebra, as it allows for the simplification of expressions and helps in solving equations. This process is crucial for students to master as they progress in their math education.