Page 3 of 226

Table of Contents

Cover
Title page(p. 1)
Copyright(p. 2)
Table of Contents(pp. 3-4)
Introduction(p. 5)
Principal Signs of Operations(p. 6)
OTHER SIGNS USED IN ALGEBRA.(p. 7)
Factors. Coefficients. Powers.(pp. 8-9)
Algebraic Expressions(pp. 10-11)
Parentheses(pp. 12-19)
Algebraic Notation(pp. 20-23)
II. Simple Equations(pp. 24-32)
III. Positive and Negative Numbers(pp. 33-37)
Multiplication and Division of Algebraic Numbers(pp. 38-43)
IV. Addition and Subtraction(p. 44)
Integral Compound Expressions(pp. 45-50)
V. Multiplication and Division(p. 51)
Multiplication. Polynomials by Monomials.(pp. 52-61)
Special Rules of Multiplication(pp. 62-70)
VII. Factors(p. 71)
Case I. When all the terms have a common factor.(p. 72)
107. When the terms can be grouped so as to show a common factor in each group.(pp. 73-74)
108. When a binomial is the difference of two squares.(pp. 75-78)
Case IV.(pp. 79-80)
Case V.(pp. 81-82)
Case VI. When a trinomial is a perfect square.(pp. 83-84)
Case VII.(pp. 85-87)
Examples For Review(pp. 88-89)
VIII. Common Factors and Multiples(pp. 90-94)
IX. Fractions(p. 95)
Reduction of Fractions(p. 96)
128. To Reduce a Fraction to its Lowest Terms.(pp. 97-98)
129. To Reduce a Fraction to an Integral or Mixed Expression.(pp. 99-100)
130. To Reduce a Mixed Expression to a Fraction(pp. 101-102)
To Reduce Fractions to their Lowest Common Denominator(pp. 103-104)
Addition and Subtraction of Fractions(pp. 105-107)
Multiplication and Division of Fractions(pp. 108-113)
Fractional Equations(pp. 114-129)
XI. Simultaneous Equations of the First Degree(pp. 130-135)
Miscellaneous Examples.(p. 136)
XII. Quadratic Equations(p. 137)
Pure Quadratic Equations.(pp. 138-139)
Affected Quadratic Equations(pp. 140-146)
XIII. Arithmetical Progression(pp. 147-150)
XIV. Geometrical Progression(pp. 151-153)
XV. Square and Cube Roots(p. 154)
Square Roots of Compound Expressions(pp. 155-159)
Cube Roots of Compound Expressions.(pp. 160-226)
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