Intermediate Algebra

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  • Edition: 9th
  • Format: Paperback
  • Copyright: 2003-01-01
  • Publisher: Addison Wesley
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This text is designed to provide an interactive learning experience between the learner and the exposition, annotated examples, art, and the exercises you will find within. The first book on the market to introduce a "learn as you go" approach by including practice exercises in the margins of the text, this best seller uses real-data applications to help apply mathematics to your everyday life. Concepts and skills learned as you progress through the text are revisited again and again in the form of cumulative reviews, skill maintenance exercises, and synthesis exercises to help you retain what you have learned and see how it all relates together.

Table of Contents

Index of Applicationsp. xiii
Index of Study Tipsp. xvii
Prefacep. xix
Review of Basic Algebra
The Set of Real Numbersp. 2
Operations with Real Numbersp. 13
Exponential Notation and Order of Operationsp. 25
Introduction to Algebraic Expressionsp. 35
Equivalent Algebraic Expressionsp. 42
Simplifying Algebraic Expressionsp. 50
Properties of Exponents and Scientific Notationp. 58
Summary and Reviewp. 70
Testp. 73
Solving Linear Equations and Inequalities
Solving Equationsp. 76
Formulas and Applicationsp. 90
Applications and Problem Solvingp. 99
Sets, Inequalities, and Interval Notationp. 113
Translating for Successp. 122
Intersections, Unions, and Compound Inequalitiesp. 129
Absolute-Value Equations and Inequalitiesp. 141
Summary and Reviewp. 152
Testp. 155
Graphs, Functions, and Applications
Graphs of Equationsp. 158
Functions and Graphsp. 174
Finding Domain and Rangep. 189
Linear Functions: Graphs and Slopep. 194
More on Graphing Linear Equationsp. 205
Visualizing for Successp. 213
Finding Equations of Lines; Applicationsp. 218
Summary and Reviewp. 232
Testp. 236
Cumulative Review: Chapters R-2p. 240
Systems of Equations
Systems of Equations in Two Variablesp. 244
Solving by Substitutionp. 253
Solving by Eliminationp. 259
Solving Applied Problems: Two Equationsp. 269
Translating for Successp. 278
Systems of Equations in Three Variablesp. 283
Solving Applied Problems: Three Equationsp. 290
Systems of Inequalities in Two Variablesp. 298
Visualizing for Successp. 308
Business and Economics Applicationsp. 314
Summary and Reviewp. 320
Testp. 323
Polynomials and Polynomial Functions
Introduction to Polynomials and Polynomial Functionsp. 326
Multiplication of Polynomialsp. 338
Introduction to Factoringp. 349
Factoring Trinomials: x[superscript 2] + bx + cp. 356
Factoring Trinomials: ax[superscript 2] + bx + c, a [not equal] 1p. 362
Special Factoringp. 371
Visualizing for Successp. 378
Factoring: A General Strategyp. 383
Applications of Polynomial Equations and Functionsp. 388
Translating for Successp. 396
Summary and Reviewp. 402
Testp. 405
Cumulative Review: Chapters R-4p. 407
Rational Expressions, Equations, and Functions
Rational Expressions and Functions: Multiplying, Dividing, and Simplifyingp. 412
LCMs, LCDs, Addition, and Subtractionp. 425
Division of Polynomialsp. 436
Complex Rational Expressionsp. 444
Solving Rational Equationsp. 451
Applications and Proportionsp. 460
Translating for Successp. 469
Formulas and Applicationsp. 475
Variation and Applicationsp. 479
Summary and Reviewp. 490
Testp. 493
Radical Expressions, Equations, and Functions
Radical Expressions and Functionsp. 496
Rational Numbers as Exponentsp. 508
Simplifying Radical Expressionsp. 515
Addition, Subtraction, and More Multiplicationp. 524
More on Division of Radical Expressionsp. 530
Solving Radical Equationsp. 535
Applications Involving Powers and Rootsp. 547
Translating for Successp. 549
The Complex Numbersp. 554
Summary and Reviewp. 565
Testp. 568
Cumulative Review: Chapters R-6p. 570
Quadratic Equations and Functions
The Basics of Solving Quadratic Equationsp. 574
The Quadratic Formulap. 588
Applications Involving Quadratic Equationsp. 596
Translating for Successp. 602
More on Quadratic Equationsp. 608
Graphing f(x) = a(x - h)[superscript 2] + kp. 617
Graphing f(x) = ax[superscript 2] + bx + cp. 628
Visualizing for Successp. 633
Mathematical Modeling with Quadratic Functionsp. 638
Polynomial and Rational Inequalitiesp. 652
Summary and Reviewp. 660
Testp. 663
Exponential and Logarithmic Functions
Exponential Functionsp. 666
Inverse and Composite Functionsp. 680
Logarithmic Functionsp. 698
Properties of Logarithmic Functionsp. 709
Natural Logarithmic Functionsp. 715
Visualizing for Successp. 720
Solving Exponential and Logarithmic Equationsp. 724
Mathematical Modeling with Exponential and Logarithmic Functionsp. 731
Translating for Successp. 740
Summary and Reviewp. 746
Testp. 750
Cumulative Review: Chapters R-8p. 753
Conic Sections
Parabolas and Circlesp. 758
Ellipsesp. 771
Hyperbolasp. 779
Visualizing for Successp. 783
Nonlinear Systems of Equationsp. 787
Summary and Reviewp. 797
Testp. 801
Cumulative Review/Final Examination: Chapters R-9p. 803
Handling Dimension Symbolsp. 810
Determinants and Cramer's Rulep. 813
Elimination Using Matricesp. 818
The Algebra of Functionsp. 823
Photo Creditsp. 826
Answers (Student Edition only)p. 1
Glossaryp. 1
Indexp. 1
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