What is the simplified form of the expression 7p - 2p + 6 + 5?

• A. 5p + 11
• B. 9p + 11
• C. 5p + 6
• D. 9p + 6

Answer: (A)

To simplify the expression 7p - 2p + 6 + 5, start by combining like terms. Like terms are those that contain the same variable raised to the same power.

First, focus on the terms that include the variable (p). You have 7p and -2p. When you combine these, you perform the operation:

[

7p - 2p = (7 - 2)p = 5p

]

Next, combine the constant terms, which are 6 and 5. Adding these together gives:

[

6 + 5 = 11

]

Now that both parts have been simplified, you can write the expression in its simplified form as:

[

5p + 11

]

This confirms that the simplified form of the expression is 5p + 11, which corresponds to the provided answer. It's important to accurately identify both the coefficients of the variable terms and the constant terms during simplification, as this ensures that the final expression is correct.