Excerpt from High School Algebra: Elementary Course Each of these aims leads to the same order of topics, which, however, differs somewhat from the conventional order. If it is admitted that there should be a gradually increasing complexity of forms to be manipulated, it follows that factoring and complicated work in fractions have no proper place in the first half year. This book is arranged so that factoring may begin with the second semester and complicated fractions may come still later. Simple fractions are treated in Chapter V. The pupil is introduced to the algebraic notation by recalling and stating in terms of letters certain rules of arithmetic with which he is already familiar. The simplicity of the algebraic formulas, compared with the arithmetical statement of rules known to the pupil, cannot fail to impress him with the use fulness and power of the subject which he is about to study. This impression will be deepened when, in Chapter VI, rules which caused considerable trouble in arithmetic are derived with the utmost ease by algebraic processes. The study of equations and their uses is naturally the main topic of the Elementary Course. This topic is therefore devel oped early, simple simultaneous equations being completed in Part One, which is intended to be covered in the first half year. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.