Question

Identify the equation that translates from the sentence:The sum of a number and 7, divided by -3, is 2.(1 point)Responsesn+7−3=2n plus 7 over negative 3 is equal to 2n−7−3=2n minus 7 over negative 3 is equal to 2n−7−3=2the fraction with numerator n minus 7 and denominator negative 3 is equal to 2n+7−3=2

Answer 1

To translate the sentence "The sum of a number and 7, divided by -3, is 2" into an equation, we can break it down as follows:

- Let \( n \) represent "a number."
- The phrase "the sum of a number and 7" can be written as \( n + 7 \).
- "Divided by -3" indicates that we take the entire expression \( n + 7 \) and divide it by -3, which results in \( \frac{n + 7}{-3} \).
- The phrase "is 2" translates to an equals sign, so we set the expression equal to 2.

Putting it all together, we get:

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

Among the options provided, the correct answer matches this equation:

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