Simplify 4x + 2 - (x - 1).

• A. 3x + 3
• B. 5x + 3
• C. 4x + 3
• D. 6x + 3

Answer: (B)

To simplify the expression (4x + 2 - (x - 1)), begin by distributing the negative sign across the terms inside the parentheses. This involves changing the signs of (x) and (-1).

When you distribute, the expression becomes:

[

4x + 2 - x + 1

]

Next, combine like terms. The like terms consist of the (x) terms and the constant terms:

• The (x) terms are (4x) and (-x), which combine to:

[

4x - x = 3x

]

• The constant terms are (2) and (1), which combine to:

[

2 + 1 = 3

]

Thus, combining both results gives:

[

3x + 3

]

This leads to the final simplified expression of (3x + 3). Therefore, the answer correctly simplifies to (3x + 3), confirming the first option is the right solution. This demonstrates understanding how to distribute, recognize and combine like terms effectively.