https://file.aiquickdraw.com/mathbot/file/1726680724996acep476i.jpg

The expression given in the image is:

\[
\frac{3y + x^2}{z}
\]

We are asked to evaluate this expression with the values \(x = 6\), \(y = 8\), and \(z = 3\). Let's substitute these values into the expression and solve:

\[
\frac{3(8) + 6^2}{3}
\]

Now solving step by step:

1. Calculate \(3(8)\):
   \[
   3 \times 8 = 24
   \]
2. Calculate \(6^2\):
   \[
   6^2 = 36
   \]
3. Add the results:
   \[
   24 + 36 = 60
   \]
4. Finally, divide by \(z = 3\):
   \[
   \frac{60}{3} = 20
   \]

Thus, the value of the expression is \(20\).

Would you like further details on this, or do you have any questions?

Here are 5 related questions:
1. What happens if you change the value of \(z\) in this equation?
2. How would the result change if \(x = 7\) instead of 6?
3. Can you derive a general formula for this expression in terms of \(x\), \(y\), and \(z\)?
4. What is the impact of increasing the power of \(x\) (e.g., using \(x^3\) instead of \(x^2\))?
5. How would this expression change if both \(y\) and \(z\) were variables?

Tip: Always double-check your substitutions to ensure accurate results!

Evaluate the expression 3y + x^2 / z if x = 6, y = 8, and z = 3.

Learn how to evaluate the expression (3y + x^2) / z when x = 6, y = 8, and z = 3. This step-by-step guide covers key algebraic concepts of substitution and arithmetic operations. Suitable for students in Grades 6-8.

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