Question

Identify the equation that translates from the sentence:
The sum of a number and 7, divided by -3, is 2.
A. n - 7/-3 = 2
B. n+7/-3 = 2
C. n + 7/-3 = 2
D. n-7/-3 = 2

Answer 1

To translate the given sentence into an equation, we break it down:

1. "The sum of a number and 7" translates to \( n + 7 \).
2. "divided by -3" indicates that the entire sum \( n + 7 \) will be divided by -3, making it \( \frac{n + 7}{-3} \).
3. "is 2" indicates that this expression is equal to 2.

Putting it all together, we get the equation:

\[
\frac{n + 7}{-3} = 2
\]

Now, let's look at the options provided:

A. \( \frac{n - 7}{-3} = 2 \)
B. \( \frac{n + 7}{-3} = 2 \)
C. \( n + \frac{7}{-3} = 2 \)
D. \( \frac{n - 7}{-3} = 2 \)

The correct translation corresponds to option B:

\( \frac{n + 7}{-3} = 2 \)

Thus, the correct answer is **B**.