**How Will This Worksheet on "Solve the Absolute Value Equations" Benefit Your Student's Learning?**

- Clarify the concept of absolute value.
- Enhance problem-solving abilities.
- Promote logical thinking with positive and negative solutions.
- Provide practice in solving absolute value equations.
- Develop critical thinking skills.
- Build a foundation for advanced algebra topics.
- Increase confidence in solving equations.
- Engage students with diverse math problems.

**How to Solve the Absolute Value Equations?**

`1`. Understand that the absolute value of a number is its distance from zero on the number line, always positive. For example, `∣x∣=a` means `x` can be `a` or `−a`.

`2`. For an equation `∣x∣=a`:

- If `a` is positive, set up two equations: `x=a` and `x=−a`.
- If `a` is zero, then `∣x∣=0` means `x=0`.
- If `a` is negative, there is no solution because absolute values cannot be negative.

`3`. Solve the equations you set up in step `2`.