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The problem asks to translate the sentence "Nine times the sum of a number and 7 is 8" into an equation using the variable \( b \) for the unknown number.

### Step-by-step translation:
- **"Nine times"** means multiplying by 9.
- **"The sum of a number and 7"** means \( b + 7 \).
- The word **"is"** translates to an equals sign (=).
- The value **"8"** is on the right-hand side of the equation.

### Equation:
The equation is:
\[
9(b + 7) = 8
\]

This represents the problem in mathematical form.

Would you like a detailed explanation on how to solve this equation or have any questions?

### 5 related questions:
1. How would you solve the equation \( 9(b + 7) = 8 \)?
2. Can you try translating another sentence like "Five times the difference of a number and 3 is 12"?
3. How does the distributive property apply to \( 9(b + 7) \)?
4. What happens if the right-hand side of the equation was changed to a different number?
5. Can you rewrite the equation in a different form, like solving for \( b \)?

### Tip:
When translating word problems into equations, look for key terms like "times" (multiplication), "sum" (addition), and "is" (equals). These are important clues for constructing the equation.

Nine times the sum of a number and 7 is 8. Use the variable b for the unknown number.

Learn how to translate and solve the linear equation 'Nine times the sum of a number and 7 is 8' using variable b for the unknown number. Understand key algebraic concepts like the distributive property. Suitable for students in Grades 6-8.

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