Simplify 7y + 5 - 3y.

Simplify 7y + 5 - 3y.

• A. 10y + 5
• B. 4y + 5
• C. 3y + 5
• D. 4y - 5

Answer: (B)

To simplify the expression 7y + 5 - 3y, you start by identifying and combining like terms. The terms that are alike in this expression are the terms that contain the variable y: 7y and -3y. First, perform the subtraction of the coefficients of y. You have 7y and you are subtracting 3y from it. Therefore, you calculate: 7y - 3y = 4y. Next, you include the constant term, which is +5. Since there are no other constant terms to combine with, you simply write it down as is. Putting it all together, you have: 4y + 5. So, the simplified expression is indeed 4y + 5. This explains why this answer is correct, as it accurately combines the like terms and retains the constant term without any further operation needed.

To simplify the expression 7y + 5 - 3y, you start by identifying and combining like terms. The terms that are alike in this expression are the terms that contain the variable y: 7y and -3y.

First, perform the subtraction of the coefficients of y. You have 7y and you are subtracting 3y from it. Therefore, you calculate:

7y - 3y = 4y.

Next, you include the constant term, which is +5. Since there are no other constant terms to combine with, you simply write it down as is.

Putting it all together, you have:

4y + 5.

So, the simplified expression is indeed 4y + 5. This explains why this answer is correct, as it accurately combines the like terms and retains the constant term without any further operation needed.