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FIRST COURSE IN ALGEBRA A SERIES OF MATHEMATICAL TEXTS

EDITED BY

EARLE RAYMOND HEDRICK

THE CALCULUS
By ELLERY WILLIAMS Davis and WILLIAM CHARLES

BRENKE.
ANALYTIC GEOMETRY AND ALGEBRA

By ALEXANDER ZIwet and LOUIS ALLEN HOPKINS.
ELEMENTS OF ANALYTIC GEOMETRY

By ALEXANDER ZIwet and Louis ALLEN HOPKINS.
PLANE AND SPHERICAL TRIGONOMETRY WITH

COMPLETE TABLES
By ALFRED MONROE KENYON and Louis INGOLD.
PLANE AND SPHERICAL TRIGONOMETRY WITH

BRIEF TABLES
By ALFRED MONROE KENYON and Louis INGOLD.
ELEMENTARY MATHEMATICAL ANALYSIS

By John WESLEY Young and FRANK MILLETT MORGAN.
COLLEGE ALGEBRA

By ERNEST BROWN SKINNER.
ELEMENTS OF PLANE TRIGONOMETRY WITH COM-

PLETE TABLES
By ALFRED MONROE KENYON and Louis INGOLD.
ELEMENTS OF PLANE TRIGONOMETRY WITH BRIEF

TABLES
By ALFRED MONROE KENYON and Louis INGOLD.
THE MACMILLAN TABLES

Prepared under the direction of EARLE RAYMOND HEDRICK.
PLANE GEOMETRY

By Walter Burton FORD and CHARLES AMMERMAN.
PLANE AND SOLID GEOMETRY

By Walter BURTON FORD and CHARLES AMMERMAN.
SOLID GEOMETRY

By WALTER BURTON FORD and CHARLES AMMERMAN.
CONSTRUCTIVE GEOMETRY

Prepared under the direction of EARLE RAYMOND HEDRICK.
JUNIOR HIGH SCHOOL MATHEMATICS

By W. L. VOSBURGH and F. W. GENTLEMAN.

This book is issued in a form identical with that of the books announced above. BY

WALTER BURTON FORD

PROFESSOR OF MATHEMATICS, THE UNIVERSITY OF MICHIGAN

AND

CHARLES AMMERMAN

THE WILLIAM MCKINLEY HIGH SCHOOL, ST. LOUIS

New York
THE MACMILLAN COMPANY

1919

All rights reserved

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PREFACE

THE present book forms Volume I of a two-volume series on high school algebra and embodies an especial effort to connect the elements of algebra in a clear and forcible manner with the affairs of every-day life. To this end a large variety of applied problems have been introduced and an unusual number of illustrative diagrams used in connection with both the reading matter and the exercises. At the same time, the text follows a distinctly logical line of development, thus affording that drill in accurate thought and expression which should characterize all the mathematical work of the high school. In brief, the presentation is intended to bring algebra into most intimate connection with nature while preserving its fundamental disciplinary values. This, we believe, is the demand, and properly so, of teachers and educators to-day.

Among the special features may be noted the abundance of exercises and the care with which they have been selected and graded. Problems of more than average difficulty have usually been accompanied with a hint in order that the pupil's time and energy may be reasonably conserved. At the end of the volume will be found an extensive list of supplementary exercises suitable for class use, in addition to those given in the body of the text. It may be noted also that, as in the authors' Plane and Solid Geometry, the book is so arranged that certain topics may be omitted, at the discretion of the teacher, without interfering with the

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