What is the first step in simplifying the expression 5x - 3 + 4x + 7?

• A. Rearranging the terms
• B. Combining the constant terms
• C. Identifying like terms
• D. Adding all coefficients together

Answer: (C)

The first step in simplifying the expression 5x - 3 + 4x + 7 involves identifying like terms. Like terms are terms that contain the same variable raised to the same power, allowing them to be combined. In this expression, the terms 5x and 4x are like terms because they both contain the variable x. Additionally, the constant terms -3 and +7 can be grouped together, but before combining any terms, it's essential to recognize which terms can be grouped for simplification.

Once like terms are identified, you can proceed to combine them by adding or subtracting their coefficients. This step is vital as it sets the stage for further simplification, making it easier to work with the expression as you move forward. By understanding which terms are similar, you create a clear pathway to achieving a simplified form.