https://file.aiquickdraw.com/mathbot/file/1726444254367gprc7fnj.jpg

Let's evaluate the given expression \(\frac{-w + 3}{w - 4}\) for \(w = -2\).

### Step-by-step process:

1. **Substitute \(w = -2\) into the expression:**

   \[
   \frac{-(-2) + 3}{-2 - 4}
   \]

2. **Simplify the numerator:**

   \[
   -(-2) = 2, \quad \text{so the numerator becomes } 2 + 3 = 5.
   \]

3. **Simplify the denominator:**

   \[
   -2 - 4 = -6.
   \]

4. **Now, the expression is:**

   \[
   \frac{5}{-6} = -\frac{5}{6}.
   \]

### Final Answer:

The simplified form of the expression is:

\[
-\frac{5}{6}
\]

Would you like a detailed explanation of any part of this? Here are some related questions to practice:

1. Evaluate \(\frac{-w + 3}{w - 4}\) for \(w = 3\).
2. What happens to the expression if \(w = 4\)?
3. Simplify \(\frac{-w + 5}{w - 7}\) for \(w = -1\).
4. If \(w = 0\), what is the value of \(\frac{-w + 3}{w - 4}\)?
5. Explore how the denominator behaves as \(w\) approaches a value near 4.

**Tip:** Always check the denominator for values that make it zero, as they could result in undefined expressions.

Evaluate the expression for w = -2. Write your answer in simplest form: (-w + 3) / (w - 4)

Learn how to evaluate the algebraic expression (-w + 3) / (w - 4) by substituting w = -2. This step-by-step solution simplifies the expression, making it suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation