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

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

• A. 5x + 3
• B. 9x - 3
• C. 3x - 3
• D. 9x + 3

Answer: (B)

To simplify the expression 7x - 3 + 2x, the first step is to identify and combine the like terms. Like terms are terms that have the same variable raised to the same power. In this case, the like terms are 7x and 2x. When you combine these terms, you add their coefficients together: 7x + 2x = (7 + 2)x = 9x. Next, we still have the constant term, which is -3. Since there are no other constant terms to combine with -3, it remains as it is. So when we put the combined terms together, we get: 9x - 3. This means the fully simplified expression is 9x - 3, which matches the correct answer. The process here demonstrates the principle of combining like terms effectively to simplify an algebraic expression.

To simplify the expression 7x - 3 + 2x, the first step is to identify and combine the like terms. Like terms are terms that have the same variable raised to the same power. In this case, the like terms are 7x and 2x.

When you combine these terms, you add their coefficients together:

7x + 2x = (7 + 2)x = 9x.

Next, we still have the constant term, which is -3. Since there are no other constant terms to combine with -3, it remains as it is.

So when we put the combined terms together, we get:

9x - 3.

This means the fully simplified expression is 9x - 3, which matches the correct answer. The process here demonstrates the principle of combining like terms effectively to simplify an algebraic expression.