For a review of algebra, the regular textbook is inadequate. From an embarrassment of riches the teacher finds it laborious to select the proper examples, while the student wastes time in searching for scattered assignments. The object of this book is to conserve the time and effort of both teacher and student, by providing a thorough and effective review that can readily be completed, if need be, in two periods a week for a half year. Each student is expected to use his regular textbook in algebra for reference, as he would use a dictionary, -to recall a definition, a rule, or a process that he has forgotten. He should be encouraged to think his way out wherever possible, however, and to refer to the textbook only when forced to do so as a last resort. The definitions given in the General Outline should be reviewed as occasion arises for their use. The whole Outline can be profitably employed for rapid class reviews, by covering the part of the Outline that indicates the answer, the method, the example, or the formula, as the case may be. Topics covered in this book include: order of operations, evaluation, parentheses, special rules for multiplication and division, factoring, fractions, simultaneous equations, square root, exponents, radicals, quadratic equations, ratio and proportion, arithmetic and geometric progressions, binomial theorem, and linear and quadratic simultaneous equations. The book also includes some samples of college entrance examinations taken from selected universities. It is a pleasure to publish this new, high quality, and affordable edition of this useful book.