What is the simplified form of 3x² + 7x - 2x² + 4x?

• A. x² + 11x
• B. x² + 7x
• C. 5x + x²
• D. 7x² + 11x

Answer: (A)

To find the simplified form of the expression 3x² + 7x - 2x² + 4x, start by identifying and combining like terms.

The first step is to group the terms that contain the same variable and the same exponent. There are two types of like terms in this expression: the terms with x² and the terms with x.

For the x² terms:

• You have 3x² and -2x². When you combine these, you perform the operation 3 - 2, which equals 1. So, the x² terms simplify to 1x² or simply x².

Next, for the x terms:

• You have 7x and 4x. When you combine these, you add 7 and 4, resulting in 11. Thus, the x terms simplify to 11x.

Putting it all together, the expression simplifies to x² + 11x. Therefore, the correct answer captures both parts correctly and is represented in the form of the combined terms.

Making sure to keep the organization of the simplified expression dictates that the x² term comes first, hence the final simplified form is indeed x² + 11x.