Algebra is essentially a body of principles by the aid of which we can discover the information implicitly given in certain kinds of statements. These statements are for the most part descriptions of numbers and can be expressed in the form of equations. It is the function of a text-book in elementary algebra to show the student how he can use these principles in identifying numbers thus described. The present book is the result of an attempt to embody this conception of algebra in a form suitable for first-year high school pupils. Everything has accordingly been made subordinate to the equation and the solution of problems. In carrying out this general plan an effort has been made to present the subject in as informal a way as possible. For example, it is said that an equation in one unknown is a description of a number. This is not to be understood as a definition of an equation. It is far from that. But the statement is made because it sets forth clearly and informally what is for the student of elementary algebra the essential feature of an equartion. It tells him more about equations and why he is studying them than a precise definition would. Many new problems will be found in the book, together with some old ones in new forms. The informational problems serve to relate the subject to geometry, physics, and everyday life. The notion of the abscissa of a point is an extremely simple one, and effective use can be made of it to bring out the close connection between algebra and geometry.
(Typographical errors above are due to OCR software and don't occur in the book.)
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