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The image contains the following mathematical problem:

"Evaluate the algebraic expression at \( x = 4 \), \( y = -3 \), and simplify your answer for the expression:

\[
-x - 5y - 1
\]
"

Let's proceed by substituting \( x = 4 \) and \( y = -3 \) into the expression and simplifying.

The expression is:

\[
-x - 5y - 1
\]

Substituting \( x = 4 \) and \( y = -3 \):

\[
-(4) - 5(-3) - 1
\]

Now let's simplify this step-by-step:

\[
-4 + 15 - 1 = 10
\]

So, the simplified answer is 10.

Do you need more details or have any questions? Here are five related questions:

1. How do we handle negative signs when substituting values in expressions?
2. Can this method be extended to more complex expressions?
3. How would the result change if the values of \( x \) and \( y \) were different?
4. What happens if both variables are positive instead of negative?
5. How do you evaluate an expression with three or more variables?

**Tip**: When substituting negative values, remember to enclose them in parentheses to avoid sign errors.

Evaluate the algebraic expression at x = 4, y = -3 and simplify the expression -x - 5y - 1.

Learn how to simplify the algebraic expression -x - 5y - 1 by substituting x = 4 and y = -3. This step-by-step guide covers key algebraic concepts including substitution and simplifying expressions. Suitable for students in Grades 6-8.

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