The whole scheme of the book is ordinarily to have a page of problems represent a day's work. This, of course, does not apply to the Outlines or the few pages of theory, which can be covered more rapidly. By this plan, making only a part of the omissions indicated in the next paragraph, the essentials of the algebra can be readily covered, if need be, in from thirty to thirty-two lessons, thus leaving time for tests, even if only eighteen weeks, of two periods each, are allotted to the course. If a brief course is desired, the Miscellaneous Examples (pp. 31 to 35, 50 to 52), many of the problems at the end of the book, and the College Entrance Examinations may be omitted without marring the continuity or the comprehensiveness of the review. ROMEYN H. RIVENBURG. CONTENTS PAGES OUTLINE OF ELEMENTARY AND INTERMEDIATE ALGEBRA 7-13 ORDER OF OPERATIONS, EVALUATION, PARENTHESES 14 SPECIAL RULES OF MULTIPLICATION AND DIVISION 15 CASES IN FACTORING 16, 17 FACTORING 18 HIGHEST COMMON FACTOR AND LOWEST COMMON MULTIPLE 19 FRACTIONS 20 COMPLEX FRACTIONS AND FRACTIONAL EQUATIONS 21, 22 SIMULTANEOUS EQUATIONS AND INVOLUTION 23, 24 SQUARE ROOT 25 THEORY OF EXPONENTS 26-28 RADICALS 29, 30 MISCELLANEOUS EXAMPLES, ALGEBRA TO QUADRATICS 31-35 QUADRATIC EQUATIONS 36, 37 THE THEORY OF QUADRATIC EQUATIONS 38-41 OUTLINE OF SIMULTANEOUS QUADRATICS 42, 43 SIMULTANEOUS QUADRATICS 44 RATIO AND PROPORTION 45, 46 ARITHMETICAL PROGRESSION 47 GEOMETRICAL PROGRESSION 48 THE BINOMIAL THEOREM 49 MISCELLANEOUS EXAMPLES, QUADRATICS AND BEYOND 50-52 PROBLEMS--LINEAR EQUATIONS, SIMULTANEOUS EQUATIONS, QUADRATIC EQUATIONS, SIMULTANEOUS QUADRATICS 53-57 COLLEGE ENTRANCE EXAMINATIONS 58-80 OUTLINE OF ELEMENTARY AND INTERMEDIATE ALGEBRA ~Important Definitions~