# Distance Decisions

## Worksheet Description

This worksheet focuses on solving absolute value equations, where students are tasked with finding all possible solutions for equations involving absolute value expressions. The problems include a variety of complexities, from basic absolute value equations to more intricate ones that involve multiple terms and operations. Each equation challenges students to consider both the positive and negative scenarios that could satisfy the absolute value condition, pushing them to think critically about how to handle these unique algebraic expressions. This worksheet is designed to provide comprehensive practice, ensuring that students become proficient in solving absolute value equations of varying difficulty levels.

The purpose of this worksheet is to teach students how to systematically approach and solve absolute value equations by breaking them down into their possible cases. It emphasizes the concept that absolute value represents distance from zero, which necessitates considering both the positive and negative outcomes when solving these equations. Through these exercises, students learn to correctly set up and solve for the variable in each scenario, gaining confidence in their ability to handle more complex algebraic problems. Ultimately, this worksheet aims to strengthen students’ foundational understanding of absolute value equations, preparing them for advanced algebra topics and real-world applications that require precise calculations and critical thinking.