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AN

ELEMENTARY ALGEBRA

FOR

Schools and Academies.

BY

JOSEPH W. WILSON, A.M.,

LATE PROFESSOR OF GEOMETRY IN THE CENTRAL HIGH SCHOOL
OF PHILADELPHIA.

AND A

REVIEW IN ALGEBRA

BY

ABRAHAM RUBINSTEIN, LL.M.,

Author of " Plane Geometry," Principal of the Manhattan Preparatory
Schools, N. Y. City.

NEW YORK

HINDS, NOBLE & ELDREDGE
31-33-35 West 15th Street

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THE Review in Algebra (following page 256) contains all questions, about 500 (with answers), given at thirty examinations by the New York State Education Department. These examinations, popularly known as the "Regents Examinations," cover the New York High School course in algebra, also the course in algebra required for admission to colleges for the study of a profession.

The exercises in this Review in Algebra, containing the 500 questions prepared by thirty examiners under the supervision of the New York State Education Department, represent the most thoughtful view of what an algebra examination should be. They are the best test of a student's knowledge of algebra.

A student who has worked all of these 500 exercises is prepared to pass any examination in algebra.

Copyright, 1895, by Eldredge & Brother

Copyright, 1910, by Hinds, Noble & Eldredge

PREFACE.

T

HE attention of Teachers is requested to the following points, in which the Author has endeavored to make this book a useful one:

Clearness. The great aim throughout has been to make everything as plain as the nature of the subject would permit. Every principle has been explained, and unnecessary verbiage avoided.

A very Gradual Advance. Complex subjects have been subdivided as far as possible into their elements, so that the learner may have to take but one step at a time.

A Practical Character. There is a continual review and repetition of whatever has been learned. Much more attention than usual has been given to Fractions, as a thorough drill on them is believed to be essential to a full comprehension of Algebraic operations, and a ready facility in performing them. The examples are very numerous, and are all original, so that this book may be used in connection with others, without fear of any other than accidental repetition.

An Analytical Method. This is essentially the same

iii

as that which has been so successful in Mental Arithmetic. Synthetic arrangement has been subordinated to convenience of teaching.

Accuracy of Language. Such expressions as Add the equations together, where the meaning is Add their corresponding members, have been carefully avoided. Hundreds of these errors have crept into some of the best books. The learner thus insensibly acquires a careless and incorrect use of language, which often clouds his apprehension of principles otherwise clear.

In conclusion, an effort has been made to specially adapt the work to those teachers who are not satisfied with anything less than an ability on the part of their pupils to fully explain every operation which they perform. To such the book is commended, in the hope that it will satisfy a need which the Author has himself frequently felt.

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