Generate algebraic expressions for the following:
The number to be added to x + y to make it equal to p.

Answer

To generate an algebraic expression for the number that needs to be added to \( x + y \) to make it equal to \( p \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Information**: We know that we have the expression \( x + y \) and we want to find a number that, when added to this expression, equals \( p \).

2. **Define the Unknown**: Let’s denote the unknown number that needs to be added as \( m \).

3. **Set Up the Equation**: According to the problem, when we add \( m \) to \( x + y \), the result should equal \( p \). This can be expressed as:
\[ m + (x + y) = p \]

4. **Rearranging the Equation**: To find the value of \( m \), we can rearrange the equation:
\[ m = p - (x + y) \]

5. **Final Expression**: Therefore, the algebraic expression for the number that needs to be added to \( x + y \) to make it equal to \( p \) is:
\[ m = p - x - y \]

### Summary:
The algebraic expression for the number to be added to \( x + y \) to make it equal to \( p \) is \( p - x - y \).