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The problem in the image is asking to convert the following statement into an equation:

*"La diferencia entre un número dividido entre 9 y 7 es equivalente a 8."*

This translates to:

*"The difference between a number divided by 9 and 7 is equivalent to 8."*

We're instructed to use the variable \( w \) to represent the unknown number.

Let's break this down:
- A number divided by 9 is \( \frac{w}{9} \).
- The difference between this value and 7 is \( \frac{w}{9} - 7 \).
- This difference is equivalent to 8, so we set the equation as \( \frac{w}{9} - 7 = 8 \).

Now the equation is:
\[
\frac{w}{9} - 7 = 8
\]

Would you like details on solving this equation?

Here are 5 related questions to expand your understanding:
1. How do you solve for \( w \) in the equation \( \frac{w}{9} - 7 = 8 \)?
2. What are the steps to isolate \( w \) in similar equations involving division?
3. How do you interpret the phrase "equivalent to" when translating word problems into equations?
4. What is the difference between using addition and subtraction in constructing equations from word problems?
5. How would the equation change if the word "sum" was used instead of "difference"?

**Tip**: When translating word problems into equations, always carefully identify mathematical keywords like "difference," "sum," "quotient," and "product" to properly form the equation.

La diferencia entre un número dividido entre 9 y 7 es equivalente a 8.

Aprende a convertir la declaración 'La diferencia entre un número dividido entre 9 y 7 es equivalente a 8' en una ecuación algebraica. Utiliza el valor desconocido representado por 'w'. Apto para estudiantes de los grados 6-8.

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