This book presents ~750 problems in High School Algebra. This will help students aspiring to excel in IIT JEE, math Olympiads and other competitive examinations to have a strong foundation in the techniques for applying the key concepts in High School Algebra to specific problem solving situations. The student is expected to solve the problem on his own. He may refer to the lucid explanation and detailed step by step solutions in case he need a gentle push to conquer the path to the solutions. This book is intended to help the student to understand ways to build an airtight reasoning on how the problem solving process moves towards the final answer. This serves as a demonstration of our understanding of the subject - basics, formulas and methods of manipulation.