What is the result of simplifying 12p - 2p + 4?

• A. 10p + 4
• B. 6p + 4
• C. 14p + 4
• D. 8p + 4

Answer: (A)

To simplify the expression 12p - 2p + 4, you start by combining the like terms, which in this case are the terms that involve the variable p. The terms 12p and -2p are both like terms because they both contain the variable p.

When you combine these two terms, you perform the operation 12p - 2p:

12p - 2p = (12 - 2)p = 10p.

Now, you still have the constant term +4 in the expression. Each distinct term, whether it contains the variable or is a constant, is kept separate during simplification.

Putting it all together, you have:

10p + 4.

Therefore, the simplified result of the original expression is 10p + 4. This aligns with the provided answer, confirming that it is indeed the correct choice.