This book draws a practical emphasis on solving problems and exercises as tools for college freshmen to learn important concepts in Introductory Algebra at competency level and to acquire the necessary confidence to apply mathematical skills to successful knowledge of Intermediate Algebra as a strong prerequisite to fully comprehend the contents of Precalculus and College Algebra at the collegiate level of studying Mathematics for future careers in teaching, information technology,and self-improvement towards credited classes in Mathematics. Hopefully, the book is expected to serve the student needs in terms of preparedness for any test or exam that requires the mastery of Algebra concepts as support to Calculus and its applications.