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nydus/The First Steps in AlgebraPublic

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Page 154 of 226

Table of Contents

Table of Contents47

Cover
Title pagep. 1
Copyrightp. 2
Table of Contentspp. 3-4
Introductionp. 5
Principal Signs of Operationsp. 6
OTHER SIGNS USED IN ALGEBRA.p. 7
Factors. Coefficients. Powers.pp. 8-9
- Page 88
- Page 99
Algebraic Expressionspp. 10-11
- Page 1010
- Page 1111
Parenthesespp. 12-19
Algebraic Notationpp. 20-23
II. Simple Equationspp. 24-32
III. Positive and Negative Numberspp. 33-37
Multiplication and Division of Algebraic Numberspp. 38-43
IV. Addition and Subtractionp. 44
Integral Compound Expressionspp. 45-50
V. Multiplication and Divisionp. 51
Multiplication. Polynomials by Monomials.pp. 52-61
Special Rules of Multiplicationpp. 62-70
VII. Factorsp. 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
- Page 7373
- Page 7474
108. When a binomial is the difference of two squares.pp. 75-78
Case IV.pp. 79-80
- Page 7979
- Page 8080
Case V.pp. 81-82
- Page 8181
- Page 8282
Case VI. When a trinomial is a perfect square.pp. 83-84
- Page 8383
- Page 8484
Case VII.pp. 85-87
Examples For Reviewpp. 88-89
- Page 8888
- Page 8989
VIII. Common Factors and Multiplespp. 90-94
IX. Fractionsp. 95
Reduction of Fractionsp. 96
128. To Reduce a Fraction to its Lowest Terms.pp. 97-98
- Page 9797
- Page 9898
129. To Reduce a Fraction to an Integral or Mixed Expression.pp. 99-100
- Page 9999
- Page 100100
130. To Reduce a Mixed Expression to a Fractionpp. 101-102
- Page 101101
- Page 102102
To Reduce Fractions to their Lowest Common Denominatorpp. 103-104
- Page 103103
- Page 104104
Addition and Subtraction of Fractionspp. 105-107
Multiplication and Division of Fractionspp. 108-113
Fractional Equationspp. 114-129
XI. Simultaneous Equations of the First Degreepp. 130-135
Miscellaneous Examples.p. 136
XII. Quadratic Equationsp. 137
Pure Quadratic Equations.pp. 138-139
- Page 138138
- Page 139139
Affected Quadratic Equationspp. 140-146
XIII. Arithmetical Progressionpp. 147-150
XIV. Geometrical Progressionpp. 151-153
XV. Square and Cube Rootsp. 154
Square Roots of Compound Expressionspp. 155-159
Cube Roots of Compound Expressions.pp. 160-226
Back cover

Table of Contents47

Cover
Title pagep. 1
Copyrightp. 2
Table of Contentspp. 3-4
Introductionp. 5
Principal Signs of Operationsp. 6
OTHER SIGNS USED IN ALGEBRA.p. 7
Factors. Coefficients. Powers.pp. 8-9
- Page 88
- Page 99
Algebraic Expressionspp. 10-11
- Page 1010
- Page 1111
Parenthesespp. 12-19
Algebraic Notationpp. 20-23
II. Simple Equationspp. 24-32
III. Positive and Negative Numberspp. 33-37
Multiplication and Division of Algebraic Numberspp. 38-43
IV. Addition and Subtractionp. 44
Integral Compound Expressionspp. 45-50
V. Multiplication and Divisionp. 51
Multiplication. Polynomials by Monomials.pp. 52-61
Special Rules of Multiplicationpp. 62-70
VII. Factorsp. 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
- Page 7373
- Page 7474
108. When a binomial is the difference of two squares.pp. 75-78
Case IV.pp. 79-80
- Page 7979
- Page 8080
Case V.pp. 81-82
- Page 8181
- Page 8282
Case VI. When a trinomial is a perfect square.pp. 83-84
- Page 8383
- Page 8484
Case VII.pp. 85-87
Examples For Reviewpp. 88-89
- Page 8888
- Page 8989
VIII. Common Factors and Multiplespp. 90-94
IX. Fractionsp. 95
Reduction of Fractionsp. 96
128. To Reduce a Fraction to its Lowest Terms.pp. 97-98
- Page 9797
- Page 9898
129. To Reduce a Fraction to an Integral or Mixed Expression.pp. 99-100
- Page 9999
- Page 100100
130. To Reduce a Mixed Expression to a Fractionpp. 101-102
- Page 101101
- Page 102102
To Reduce Fractions to their Lowest Common Denominatorpp. 103-104
- Page 103103
- Page 104104
Addition and Subtraction of Fractionspp. 105-107
Multiplication and Division of Fractionspp. 108-113
Fractional Equationspp. 114-129
XI. Simultaneous Equations of the First Degreepp. 130-135
Miscellaneous Examples.p. 136
XII. Quadratic Equationsp. 137
Pure Quadratic Equations.pp. 138-139
- Page 138138
- Page 139139
Affected Quadratic Equationspp. 140-146
XIII. Arithmetical Progressionpp. 147-150
XIV. Geometrical Progressionpp. 151-153
XV. Square and Cube Rootsp. 154
Square Roots of Compound Expressionspp. 155-159
Cube Roots of Compound Expressions.pp. 160-226
Back cover

XV. Square and Cube Roots

Square and Cube Roots.

154

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