Which expression is equivalent to w + 8w +2:
Answer
110
w + 10
2 + 9w
-5w
The correct answer and explanation is:
The correct answer is 2 + 9w.
Here’s an explanation:
To simplify the expression w + 8w + 2, the first step is to combine like terms. “Like terms” are terms that have the same variable raised to the same power. In this case, the terms w and 8w are like terms because both contain the variable w.
- Start by adding the w and 8w together:
- w + 8w = 9w.
- Now the expression becomes:
- 9w + 2.
So, the simplified expression is 9w + 2, which is equivalent to 2 + 9w. The order in which terms are written does not affect the result, so 2 + 9w is just another way to express the same thing.
To confirm, the other options are not equivalent:
- 110 is a constant number, and it doesn’t match the original expression, which involves both a variable and a constant.
- w + 10 would be the result of a different expression, for example, w + 9w + 10, which is not the case here.
- -5w would only appear if there was a negative sign or subtraction involved, which is not the case in the given expression.
Thus, 2 + 9w is the correct and simplified form of the original expression.