When simplifying 5x - 3y + 2y + 4x, what is the result?

When simplifying 5x - 3y + 2y + 4x, what is the result?

• A. 9x - y
• B. 7x - y
• C. 6x + y
• D. 4x + 4y

Answer: (B)

To simplify the expression 5x - 3y + 2y + 4x, you should first identify and combine the like terms, which in this case are the x terms together and the y terms together. Start with the x terms: - You have 5x and 4x. When you combine these, you add their coefficients: 5 + 4 = 9. So, the x part simplifies to 9x. Next, look at the y terms: - You have -3y and +2y. When you combine these, you again add the coefficients: -3 + 2 = -1. So, the y part simplifies to -1y, which can simply be written as -y. Putting together both parts, you have: 9x - y. Thus, the final simplified expression is 9x - y, which matches the correct answer. This step-by-step process highlights the importance of correctly identifying like terms and carefully combining their coefficients to simplify algebraic expressions.

To simplify the expression 5x - 3y + 2y + 4x, you should first identify and combine the like terms, which in this case are the x terms together and the y terms together.

Start with the x terms:

• You have 5x and 4x. When you combine these, you add their coefficients:

5 + 4 = 9. So, the x part simplifies to 9x.

Next, look at the y terms:

• You have -3y and +2y. When you combine these, you again add the coefficients:

-3 + 2 = -1. So, the y part simplifies to -1y, which can simply be written as -y.

Putting together both parts, you have:

9x - y.

Thus, the final simplified expression is 9x - y, which matches the correct answer.

This step-by-step process highlights the importance of correctly identifying like terms and carefully combining their coefficients to simplify algebraic expressions.