# Zero Solutions

## Worksheet Description

This worksheet focuses on solving absolute value equations where the equation is set equal to zero, challenging students to determine the conditions under which the absolute value expressions result in zero. The problems vary in complexity, involving both simple and more intricate expressions with variables and constants that students must isolate and solve. Each equation requires students to understand that the expression inside the absolute value must equal zero for the equation to hold true, leading to a single solution for each problem. This worksheet provides targeted practice for students to develop their skills in solving absolute value equations under this specific condition.

The primary aim of this worksheet is to teach students how to recognize and solve absolute value equations that equal zero, emphasizing the unique condition that the expression inside the absolute value must be zero. It reinforces the concept that absolute value represents distance, which is only zero when the point is at the origin, leading to a single specific solution. By working through these exercises, students gain a clearer understanding of how to manipulate and solve equations involving absolute values, particularly in cases where the solution is determined by a zero condition. Ultimately, this worksheet helps students build confidence and precision in solving absolute value equations, preparing them for more advanced algebraic challenges.