https://file.aiquickdraw.com/mathbot/file/1727223135819iod3p8oc.jpg

The expression provided in the image is:

\[
(x - 1) \cdot y + z
\]

where:
- \(x = 5\)
- \(y = 2\)
- \(z = -6\)

Let's evaluate this step-by-step:

1. First, calculate \(x - 1\):
   \[
   5 - 1 = 4
   \]

2. Multiply the result by \(y\):
   \[
   4 \cdot 2 = 8
   \]

3. Finally, add \(z\):
   \[
   8 + (-6) = 2
   \]

Thus, the value of the expression is **2**.

Would you like more details on any part of this solution?

Here are 5 related questions to deepen your understanding:
1. What happens if \(z\) were positive in this equation?
2. How would the expression change if the subtraction in \(x - 1\) became \(x + 1\)?
3. How does distributing work with expressions like \((x - 1) \cdot y + z\)?
4. How can parentheses affect the evaluation order in a more complex expression?
5. Can you think of a real-life scenario where this type of algebraic manipulation might be useful?

**Tip:** Always remember to follow the order of operations (PEMDAS) in expressions.

Evaluate the following expression: (x - 1) * y + z, where x = 5, y = 2, and z = -6.

Solve the algebraic expression (x - 1) * y + z with x = 5, y = 2, and z = -6. Follow a step-by-step solution covering algebra and basic arithmetic. Suitable for Grades 6-8 students.

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