What is the simplified form of 3x + 2x - x + 5?

• A. 5x + 5
• B. 4x + 5
• C. 2x + 5
• D. 6x + 5

Answer: (B)

To determine the simplified form of the expression 3x + 2x - x + 5, we start by identifying and combining the like terms, which are the terms that contain the same variable (in this case, "x").

1. Begin with the terms that contain "x":

• The first term is 3x.

• The second term is 2x.

• The third term is -x (which is the same as subtracting x).

2. Combine these terms by adding and subtracting:

• 3x + 2x = 5x

• Now, add in the -x: 5x - x = 4x

3. Now, we have simplified the variable part to 4x.

4. Next, include the constant term, which is +5.

Putting it all together, we have 4x + 5 as the simplified expression.

This result is consistent with the principles of combining like terms in algebra, where terms with the same variables are summed together, while constants remain unchanged. Thus, the simplified form of the given expression is correctly represented as 4x + 5.