Combine the like terms in the expression: -2a + 6 + 3a - 4.

Combine the like terms in the expression: -2a + 6 + 3a - 4.

• A. a - 2
• B. a + 2
• C. 2a + 2
• D. -a + 2

Answer: (B)

To simplify the expression -2a + 6 + 3a - 4, we start by identifying and combining like terms. First, focus on the variable terms, which in this case are -2a and 3a. When we combine these, we add the coefficients: -2 + 3 = 1, so we get 1a, or simply a. Next, let's look at the constant terms, which are 6 and -4. Combining these involves adding: 6 - 4 = 2. Now we can combine the results from both operations: the combined variable term (a) and the combined constant term (2). Therefore, the simplified expression is: a + 2. This means the correct answer is option B, which reflects the combination of like terms accurately.

To simplify the expression -2a + 6 + 3a - 4, we start by identifying and combining like terms.

First, focus on the variable terms, which in this case are -2a and 3a. When we combine these, we add the coefficients:

-2 + 3 = 1, so we get 1a, or simply a.

Next, let's look at the constant terms, which are 6 and -4. Combining these involves adding:

6 - 4 = 2.

Now we can combine the results from both operations: the combined variable term (a) and the combined constant term (2). Therefore, the simplified expression is:

a + 2.

This means the correct answer is option B, which reflects the combination of like terms accurately.