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.