This textbook presents a novel approach to the teaching of the fundamentals of problem-solving by putting the spotlight on the use of algebra as a language for the expression of the relationship between the value of the quantities involved in a word problem as an algebraic equation, and the manner in which solution algorithms to such equations capture the logic that one naturally uses when solving them. The textbook presents a number of efficient, meaningful algebraic power tools that can be used with confidence in dealing with every day life problems and the types of problems that arise in basic science courses.The textbook caters to the needs of a wide variety of readers. Whether you are someone interested in self-study, a high school, college or university student, a parent, an educator, a scientist, a mathematician, or a linguist, this textbook has something for you and we hope that, after reading this book, it will be one that you will remember.