This volume presents a full high-school course in elementary algebra and contains all the topics given in the standard year-and-a-half courses. It is adapted to the prevailing practice of teaching elementary algebra in two courses--a full-year course followed by a half-year course. The first 23 chapters contain all the work required in any standard one-year course, and the remaining 10 chapters comprise a subsequent half-year course, reviewing and extending the elementary processes, fractions, factoring, exponents, and methods of solving equations, before any new topics are given. The result is a single volume adapted to a continuous one-and-a-half year course, or to a course in which geometry intervenes between first-year and second-year algebra. Ample practice work under more important topics, such as equations, factoring, highest common factor, fractions and exponents are included. Among the features that contribute to the teachableness of the book are the Historical Notes--brief sketches describing the origin of some of the more important topics of algebra and accompanying biographical notes and portraits of famous mathematicians. Additionally, teachers will appreciate the inductive developments, the cross references, illustrative problems, methods of testing results, careful statement of rules, topical and logical arrangement, definite classification, the frequent reviews, and the summaries of the theoretic chapters.