https://file.aiquickdraw.com/mathbot/file/1725579367867pn91hvi0.jpg

The problem in the image says:

"Emily is thinking of a number, which she calls **n**. She finds \(\frac{1}{4}\) of the number and then subtracts 3."

We are tasked with writing an algebraic expression to represent this.

To break it down:
- "She finds \(\frac{1}{4}\) of the number" means we multiply **n** by \(\frac{1}{4}\), giving us \(\frac{1}{4}n\).
- "Then subtracts 3" means we subtract 3 from this value.

The algebraic expression that represents Emily's number is:
\[
\frac{1}{4}n - 3
\]

Would you like more details or have any questions?

### Related Questions:
1. How would the expression change if Emily finds \(\frac{1}{3}\) of the number instead of \(\frac{1}{4}\)?
2. What happens to the expression if she adds 3 instead of subtracting 3?
3. How would you evaluate this expression if Emily’s number \(n\) was 16?
4. What is the algebraic expression if Emily first subtracts 3 and then finds \(\frac{1}{4}\) of the result?
5. Can you write a similar expression if Emily divides the number by 4 and then subtracts 3?

### Tip:
When creating algebraic expressions, carefully follow the operations in the correct order to avoid confusion.

Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3. Write an expression to represent Emily's number.

Learn how to write an algebraic expression to represent a problem where 1/4 of a number is found and then 3 is subtracted. This problem involves key algebraic concepts like fractions and linear expressions, suitable for students in Grades 6-8.

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