https://file.aiquickdraw.com/mathbot/file/1726662089035pupjyv6g.jpg

The given equation is:

\[
|x| + 8 = 17
\]

### Steps to solve:

1. Subtract 8 from both sides to isolate the absolute value term:

\[
|x| = 17 - 8
\]
\[
|x| = 9
\]

2. Now, solve for \(x\). Since the absolute value of \(x\) can be either positive or negative:

\[
x = 9 \quad \text{or} \quad x = -9
\]

Thus, the solutions are \(x = 9\) or \(x = -9\).

### Correct Answer:
The correct option is **B**: \(x = 9\) or \(x = -9\).

Would you like a detailed explanation of any part of the solution, or do you have further questions?

Here are five related questions for further practice:

1. How do you solve equations with more complex absolute value expressions?
2. What is the definition of an absolute value and how does it apply to equations?
3. What happens if the right side of an absolute value equation is negative?
4. How can you solve equations that have absolute values on both sides?
5. Can you solve for \(x\) in the equation \(|2x + 3| = 11\)?

**Tip:** Always isolate the absolute value expression first when solving these types of equations!

Learn how to solve the absolute value equation |x| + 8 = 17 step-by-step. This problem involves isolating the absolute value and considering both positive and negative cases. Ideal 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