Simplify the expression: 3p + 4 - 2p + 6.

• A. p + 10
• B. p + 8
• C. 5p + 6
• D. 4p + 4

Answer: (A)

To simplify the expression 3p + 4 - 2p + 6, we will first combine like terms. Like terms are terms that contain the same variable to the same power.

Start by identifying the terms with the variable 'p':

• The terms with 'p' are 3p and -2p.

• When combined, these terms yield 3p - 2p = 1p, which can simply be written as p.

Next, identify the constant terms:

• The constant numbers in the expression are 4 and 6.

• Combining these gives us 4 + 6 = 10.

Now, combining the results from both parts, we have:

• The 'p' term: p

• The constant: 10

Thus, the simplified expression is p + 10. This demonstrates how combining like terms, both variable terms and constant terms, leads us to the final simplified result. The correct answer is indeed p + 10.