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.