The expression you provided is:

\[
-\frac{3}{2}x + 11
\]

This is a linear expression in terms of \( x \). Here's some key information about it:

1. **Coefficient of \(x\)**: The term \(-\frac{3}{2}x\) tells us that the slope of this linear equation (if we were to graph it) would be \(-\frac{3}{2}\), meaning it would slope downward as \(x\) increases.
2. **Constant term**: The constant \(11\) shifts the graph upwards by 11 units on the y-axis.
3. **Type of function**: It's a linear function, and the overall expression represents a straight line when graphed.

If you're looking to solve for \(x\) or perform some other operation, let me know!

Would you like to explore this further, or would you like me to explain any specific part in more detail?

Here are 5 questions you might want to explore based on this:

1. How would you solve for \(x\) if this expression was part of an equation?
2. What does the slope \(-\frac{3}{2}\) represent in real-world terms?
3. How do you graph this linear function on a coordinate plane?
4. What happens to the graph if you change the constant from \(11\) to another number?
5. What would the solution be if you set the expression equal to zero?

**Tip**: In linear functions, the coefficient of \(x\) determines the slope, and the constant shifts the graph vertically!

Explore the linear expression -3/2x + 11, where the coefficient of x is the slope and the constant is the y-intercept. Learn how to interpret and graph this linear function, covering key algebraic concepts for students in Grades 6-8.

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