What is the result of simplifying the expression 4x + 7 - 2x + 1?

• A. 2x + 8
• B. 2x + 6
• C. 8x + 8
• D. 3x + 8

Answer: (A)

To simplify the expression 4x + 7 - 2x + 1, you first want to group and combine the like terms.

Start by identifying the like terms:

• The terms involving x are 4x and -2x.

• The constant terms are 7 and 1.

Now, simplify the like terms step by step:

1. Combine the x terms:

• 4x - 2x equals 2x.

2. Combine the constant terms:

• 7 + 1 equals 8.

Putting it all together, you have:

2x from the x terms and 8 from the constant terms.

Thus, the expression simplifies to 2x + 8. This matches with the correct answer choice. The final simplified expression makes it clear that you have successfully combed both the coefficients of the variable and the standalone numbers for a concise result.