It looks like you've provided the expression \( \frac{x + 4}{8} \). This is a simple algebraic expression where \( x + 4 \) is the numerator, and 8 is the denominator.

### Simplifying the Expression:
This expression is already in its simplest form, so there isn't any further simplification needed. However, let's explore what can be done with it:

1. **Evaluating for a specific value of \( x \)**: You can substitute a specific value for \( x \) to evaluate the expression. For example:
   \[
   \text{If } x = 0, \text{ then } \frac{0 + 4}{8} = \frac{4}{8} = \frac{1}{2}
   \]
   \[
   \text{If } x = 4, \text{ then } \frac{4 + 4}{8} = \frac{8}{8} = 1
   \]

2. **Distributive Property**: You could also distribute the division across the addition:
   \[
   \frac{x + 4}{8} = \frac{x}{8} + \frac{4}{8}
   \]
   Simplifying the second fraction:
   \[
   \frac{x}{8} + \frac{1}{2}
   \]

3. **Graphing the Expression**: If you were to graph \( y = \frac{x + 4}{8} \), it would be a straight line with a slope of \( \frac{1}{8} \) and a y-intercept at \( \frac{1}{2} \).

Would you like to explore any of these topics further, or do you have any specific questions?

### Related Questions:
1. How do you simplify algebraic fractions?
2. What is the process of evaluating expressions for different values of \( x \)?
3. How do you graph linear equations?
4. How does the distributive property apply to division?
5. What is the slope of a line, and how is it determined?
6. How can algebraic expressions be used in real-world scenarios?
7. What are the properties of linear functions?
8. How do you solve equations involving fractions?

### Tip:
When simplifying algebraic expressions, consider whether any terms can be factored out or if the expression can be distributed to make it easier to work with.

Explore the algebraic expression (x + 4) / 8 and learn how to evaluate it for different values of x, simplify using distributive property, and graph it. This problem covers key algebraic concepts including fractional expressions and linear equations. Suitable for students in Grades 7-9.

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