Simplify the expression: 5r + 2 + 3r - 4.

• A. 8r + 2
• B. 8r - 2
• C. 3r + 6
• D. 5r - 2

Answer: (B)

To simplify the expression 5r + 2 + 3r - 4, we first identify and combine like terms. Like terms are terms that contain the same variable raised to the same power.

In this expression, the like terms involving the variable 'r' are 5r and 3r. When we combine these, we add the coefficients:

5r + 3r = 8r.

Next, we look at the constant terms, which are 2 and -4. When we combine these, we perform the addition/subtraction on the constants:

2 - 4 = -2.

Now, we can combine both results to form the final simplified expression:

8r - 2.

Thus, the correct answer is the one that represents this simplified version of the original expression.