Which expression represents “6 more than x”? A. x-6 B. 6x C. x+6 D. 6-x
The correct answer and explanation is:
The correct answer is C. x + 6.
Here’s the reasoning:
When you see the phrase “6 more than x,” it suggests adding 6 to the variable x. The word “more” in this context implies addition. Therefore, the expression that represents “6 more than x” is the one where 6 is added to x, which is x + 6.
Let’s break it down:
- “6 more than” means you are increasing x by 6, so you add 6 to x.
- If it said “6 less than x,” the correct expression would be x – 6 (subtracting 6 from x).
- The option x – 6 (A) would represent “6 less than x” or “x decreased by 6,” which is not what the question is asking.
- 6x (B) represents the product of 6 and x, which would imply multiplying x by 6, but the question asks for an addition of 6, not multiplication.
- 6 – x (D) represents the expression where x is subtracted from 6, which is a different mathematical operation compared to adding 6 to x.
So, the correct interpretation is that you are adding 6 to x, which is exactly represented by x + 6.