Simplify the expression 5k + 6 - 2k - 1.

• A. 3k + 5
• B. 3k + 7
• C. 2k + 6
• D. 5k + 5

Answer: (A)

To simplify the expression 5k + 6 - 2k - 1, we begin by identifying and combining like terms.

First, focus on the terms that contain the variable ( k ). These terms are 5k and -2k. When we combine them, we perform the following calculation:

5k - 2k = 3k.

Next, we look at the constant terms, which are 6 and -1. Combining these constants gives us:

6 - 1 = 5.

Now that we have simplified both parts, we can combine our results. From the variable terms, we obtained 3k, and from the constant terms, we determined that it simplifies to 5. Therefore, the complete simplified expression is:

3k + 5.

This aligns perfectly with the correct answer you provided, which is 3k + 5. This reflects the proper summation of both like terms in the expression.