What is the simplified form of the expression 4x + 6 - 2x?

What is the simplified form of the expression 4x + 6 - 2x?

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

Answer: (A)

To simplify the expression 4x + 6 - 2x, we begin by combining like terms. Like terms are terms that contain the same variable raised to the same power. In this case, the like terms are the terms that include 'x': 4x and -2x. First, we perform the subtraction on the like terms: 4x - 2x = 2x. Next, we look at the constant part of the expression, which is +6. Since there are no other constant terms to combine, we simply keep +6 as it is. Finally, putting it all together, we have: 2x + 6. This correctly combines the like terms and gives us the simplified form of the original expression. Thus, the simplified form of 4x + 6 - 2x is indeed 2x + 6.

To simplify the expression 4x + 6 - 2x, we begin by combining like terms. Like terms are terms that contain the same variable raised to the same power. In this case, the like terms are the terms that include 'x': 4x and -2x.

First, we perform the subtraction on the like terms:

4x - 2x = 2x.

Next, we look at the constant part of the expression, which is +6. Since there are no other constant terms to combine, we simply keep +6 as it is.

Finally, putting it all together, we have:

2x + 6.

This correctly combines the like terms and gives us the simplified form of the original expression. Thus, the simplified form of 4x + 6 - 2x is indeed 2x + 6.