The expression \(|x + y|\) represents the **absolute value** of the sum of \(x\) and \(y\). The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, \(|x + y|\) gives the non-negative value of the sum \(x + y\). 

### Key Points:
- **If \(x + y\) is positive or zero**: \(|x + y| = x + y\).
- **If \(x + y\) is negative**: \(|x + y| = -(x + y)\), which makes the result positive.

### Example:
1. If \(x = 3\) and \(y = -1\), then \(x + y = 2\), so \(|x + y| = |2| = 2\).
2. If \(x = -3\) and \(y = 1\), then \(x + y = -2\), so \(|x + y| = |-2| = 2\).

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### Related Questions:
1. What is the absolute value of a number?
2. How does the absolute value function work for negative inputs?
3. Can \(|x + y|\) ever be negative?
4. What does \(|x - y|\) represent?
5. How do you solve an equation involving absolute values?

### Tip:
Absolute value functions are useful in measuring the magnitude of quantities without considering their direction or sign.

Explore the concept of absolute value with the expression |x + y|. Learn what absolute value represents, how it affects positive and negative sums, and see practical examples that clarify these algebraic concepts. Suitable for students in Grades 6-8.

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