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Algebra II »

Book cover image of Algebra II by David Alan Herzog

Authors: David Alan Herzog, Edward Kohn
ISBN-13: 9780764563713, ISBN-10: 0764563718
Format: Paperback
Publisher: Wiley, John & Sons, Incorporated
Date Published: May 2001
Edition: (Non-applicable)

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Author Biography: David Alan Herzog

Ed Kohn is an outstanding educator and author, with over 33 years' experience teaching mathematics. Currently, he is the testing coordinator and math department chairman at the Sherman Oaks Center for Enriched Studies. Formerly an instructor at Fairleigh Dickinson University, David Alan Herzog is the author of over 100 audio visual tides and computer programs and has written and edited several books in mathematics and science.

Book Synopsis

We take great notes—and make learning a snap When it comes to pinpointing the stuff you really need to know, nobody does it better than CliffsNotes. This fast, effective tutorial helps you master core algebraic concepts—from linear equations, relations and functions, and rational expressions to radicals, quadratic systems, and factoring polynomials—and get the best possible grade. At CliffsNotes, we're dedicated to helping you do your best, no matter how challenging the subject. Our authors are veteran teachers and talented writers who know how to cut to the chase—and zero in on the essential information you need to succeed. Study smarter @ cliffsnotes.com Free CliffsNote-A-Day tips Free test-taking tips and tricks Free test samples and schedules Free info on other test resources Plus hundreds of downloadable Cliffs titles 24 hours a day Make the grade with CliffsQuickReviews CliffsQuickReviews are available for more than 30 introductory level courses. See inside for a complete listing of these and other bestselling Cliffs titles.

Table of Contents

Introduction1
Why You Need This Book2
How to Use This Book2
Visit Our Web Site3
Chapter 1Linear Sentences in One Variable5
Linear Equations5
Formulas7
Absolute Value Equations10
Linear Inequalities12
Compound Inequalities14
Absolute Value Inequalities17
Chapter 2Segments, Lines, and Inequallties22
Rectangular Coordinate System22
Distance Formula24
Midpoint Formula25
Slope of a Line26
Slope of Parallel and Perpendicular Lines28
Equations of Lines29
Graphs of Linear Inequalities35
Chapter 3Linear Sentences in Two Variables41
Linear Equations: Solutions Using Graphing41
Linear Equations: Solutions Using Substitution43
Linear Equations: Solutions Using Eliminations44
Linear Equations: Solutions Using Matrices47
Linear Equations: Solutions Using Determinants48
Linear Inequalities: Solutions Using Graphing51
Chapter 4Linear Equations in Three Variables57
Linear Equations: Solutions Using Elimination57
Linear Equations: Solutions Using Matrices61
Linear Equations: Solutions Using Determinants64
Chapter 5Polynomial Arithmetic70
Adding and Subtracting Polynomials70
Monomial, binomial, and trinomial70
Like terms or similar terms71
Ascending and descending order72
Multiplying Polynomials73
Special Products of Binomials75
Dividing Polynomials77
Synthetic Division81
Chapter 6Factoring Polynomials84
Greatest Common Factor84
Difference of Squares85
Sum or Difference of Cubes86
Trinomials of the Form x[superscript 2] + bx + c88
Trinomials of the Form ax[superscript 2] + bx + c89
Square Trinomials91
Factoring by Regrouping91
Summary of Factoring Techniques92
Solving Equations by Factoring93
Chapter 7Rational Expressions97
Examples of Rational Expressions97
Simplifying Rational Expressions98
Multiplying Rational Expressions99
Dividing Rational Expressions100
Adding and Subtracting Rational Expressions101
Complex Fractions105
Solving Rational Equations107
Proportion, Direct Variation, Inverse Variation, Joint Variation109
Proportion119
Direct variation110
Inverse variation111
Joint variation112
Graphing Rational Functions113
Chapter 8Relations and Functions118
Basic Definitions118
Relation118
Domain and range119
Function121
Function Notation123
Compositions of Functions124
Algebra of Functions125
Inverse Functions126
Chapter 9Polynomial Functions132
Polynomial Function132
Remainder Theorem133
Factor Theorem134
Zeros of a Function135
Rational Zero Theorem135
Graphing Polynomial Functions137
Chapter 10Radicals and Complex Numbers141
Radicals141
Simplifying Radicals144
Adding and Subtracting Radical Expressions144
Multiplying Radical Expressions145
Dividing Radical Expressions146
Rationalizing the denominator147
Conjugates148
Rational Exponents148
Complex Numbers149
Chapter 11Quadratics in One Variable153
Quadratic Equations153
Solving Quadratics by Factoring154
Solving Quadratics by the Square Root Property154
Solving Quadratics by Completing the Square155
Solving Quadratics by the Quadratic Formula157
Solving Equations in Quadratic Form159
Solving Radical Equations160
Solving Quadratic Inequalities165
Chapter 12Conic Sections171
The Four Conic Sections171
Circle172
Parabola174
Ellipse179
Hyperbola185
Chapter 13Quadratic Systems192
Systems of Equations Solved Algebraically192
Systems of Equations Solved Graphically194
Systems of Inequalities Solved Graphically196
Chapter 14Exponential and Logarithmic Functions200
Exponential Functions200
Logarithmic Functions204
Properties of Logarithms207
Exponential and Logarithmic Equations209
Chapter 15Sequences and Series215
Definition and Examples of Sequences215
Arithmetic Sequence217
Arithmetic Series218
Geometric Sequence219
Geometric Series221
Summation Notation223
Chapter 16Additional Topics226
Factorials226
Binomial Coefficients and the Binomial Theorem227
Permutations229
Combinations231
Chapter 17Word Problems233
General Strategy233
Simple Interest234
Compound Interest235
Mixture236
Motion236
Work239
Arithmetic/Geometric Series241
CQR Review244
CQR Resource Center250
Glossary253
Index260

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