What is the simplified expression of 5 + 2y + 3 - 4y?

What is the simplified expression of 5 + 2y + 3 - 4y?

• A. 8 - 2y
• B. 2 - 2y
• C. 5 + 2y
• D. 8 + 2y

Answer: (A)

To simplify the expression 5 + 2y + 3 - 4y, start by combining the like terms. The numeric terms are 5 and 3, which can be added together: 5 + 3 equals 8. Next, look at the terms that contain the variable y. Here, you have 2y and -4y. To combine these, subtract 4y from 2y: 2y - 4y results in -2y. Now, put both parts together: you have 8 from the numeric side and -2y from the variable side. Therefore, the simplified expression is 8 - 2y, which corresponds to the selected answer. This process of combining the constant terms separately from the variable terms is fundamental in algebra and allows for a clearer expression that is easier to work with in subsequent calculations or problem solving.

To simplify the expression 5 + 2y + 3 - 4y, start by combining the like terms. The numeric terms are 5 and 3, which can be added together:

5 + 3 equals 8.

Next, look at the terms that contain the variable y. Here, you have 2y and -4y. To combine these, subtract 4y from 2y:

2y - 4y results in -2y.

Now, put both parts together: you have 8 from the numeric side and -2y from the variable side. Therefore, the simplified expression is 8 - 2y, which corresponds to the selected answer.

This process of combining the constant terms separately from the variable terms is fundamental in algebra and allows for a clearer expression that is easier to work with in subsequent calculations or problem solving.