Intermediate Algebra : Concepts and Applications

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  • Edition: 6th
  • Format: Hardcover
  • Copyright: 2002-01-01
  • Publisher: Addison Wesley
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The Sixth Edition of Intermediate Algebra: Concepts and Applications continues to bring your students a best-selling text that incorporates the five-step problem-solving process, real-world applications, proven pedagogy, and an accessible writing style. The Bittinger/Ellenbogen hardback series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. With this revision, the authors have maintained all the hallmark features that have made this series so successful, including its five-step problem-solving process, student-oriented writing style, real-data applications, and wide variety of exercises. Among the features added or revised are new Aha! exercises that encourage students to think before jumping in to solve a problem, 20% new and added real-data applications, and 50% more new Skill Maintenance Exercises. This series not only provides students with the tools necessary to learn and understand math, but also provides them with insights into how math works in the world around them.

Table of Contents

Prefacep. xi
Algebra and Problem Solving
Some Basics of Algebrap. 2
Operations and Properties of Real Numbersp. 11
Solving Equationsp. 22
Connecting the Conceptsp. 25
Introduction to Problem Solvingp. 29
Formulas, Models, and Geometryp. 39
Properties of Exponentsp. 46
Scientific Notationp. 56
Summary and Reviewp. 64
Testp. 68
Graphs, Functions, and Linear Equations
Graphsp. 70
Functionsp. 78
Linear Functions: Slope, Graphs, and Modelsp. 93
Another Look at Linear Graphsp. 106
Other Equations of Linesp. 117
Connecting the Conceptsp. 122
The Algebra of Functionsp. 126
Summary and Reviewp. 135
Testp. 138
Systems of Linear Equations and Problem Solving
Systems of Equations in Two Variablesp. 142
Solving by Substitution or Eliminationp. 151
Connecting the Conceptsp. 156
Solving Applications: Systems of Two Equationsp. 159
Systems of Equations in Three Variablesp. 172
Connecting the Conceptsp. 172
Solving Applications: Systems of Three Equationsp. 181
Elimination Using Matricesp. 186
Determinants and Cramer's Rulep. 191
Business and Economic Applicationsp. 197
Summary and Reviewp. 203
Testp. 206
Cumulative Review: Chapters 1-3p. 207
Inequalities and Problem Solving
Inequalities and Applicationsp. 212
Intersections, Unions, and Compound Inequalitiesp. 224
Absolute-Value Equations and Inequalitiesp. 233
Inequalities in Two Variablesp. 242
Connecting the Conceptsp. 249
Applications Using Linear Programmingp. 252
Summary and Reviewp. 260
Testp. 263
Polynomials and Polynomial Functions
Introduction to Polynomials and Polynomial Functionsp. 266
Connecting the Conceptsp. 266
Multiplication of Polynomialsp. 277
Common Factors and Factoring by Groupingp. 287
Connecting the Conceptsp. 287
Factoring Trinomialsp. 293
Factoring Perfect-Square Trinomials and Differences of Squaresp. 303
Factoring Sums or Differences of Cubesp. 309
Factoring: A General Strategyp. 313
Applications of Polynomial Equationsp. 317
Summary and Reviewp. 329
Testp. 332
Rational Expressions, Equations, and Functions
Rational Expressions and Functions: Multiplying and Dividingp. 334
Rational Expressions and Functions: Adding and Subtractingp. 343
Complex Rational Expressionsp. 352
Rational Equationsp. 361
Connecting the Conceptsp. 361
Solving Applications Using Rational Equationsp. 368
Division of Polynomialsp. 378
Synthetic Divisionp. 383
Formulas, Applications, and Variationp. 388
Summary and Reviewp. 401
Testp. 404
Cumulative Review: Chapters 1-6p. 405
Exponents and Radicals
Radical Expressions and Functionsp. 408
Rational Numbers as Exponentsp. 416
Multiplying Radical Expressionsp. 423
Dividing Radical Expressionsp. 429
Expressions Containing Several Radical Termsp. 435
Solving Radical Equationsp. 443
Connecting the Conceptsp. 443
Geometric Applicationsp. 450
The Complex Numbersp. 458
Summary and Reviewp. 466
Testp. 469
Quadratic Functions and Equations
Quadratic Equationsp. 472
The Quadratic Formulap. 483
Applications Involving Quadratic Equationsp. 490
Studying Solutions of Quadratic Equationsp. 498
Equations Reducible to Quadraticp. 502
Quadratic Functions and Their Graphsp. 508
Connecting the Conceptsp. 514
More About Graphing Quadratic Functionsp. 517
Problem Solving and Quadratic Functionsp. 523
Polynomial and Rational Inequalitiesp. 532
Summary and Reviewp. 540
Testp. 544
Exponential and Logarithmic Functions
Composite and Inverse Functionsp. 548
Exponential Functionsp. 560
Connecting the Conceptsp. 560
Logarithmic Functionsp. 569
Properties of Logarithmic Functionsp. 576
Common and Natural Logarithmsp. 583
Solving Exponential and Logarithmic Equationsp. 590
Applications of Exponential and Logarithmic Functionsp. 596
Summary and Reviewp. 610
Testp. 613
Cumulative Review: Chapters 1-9p. 615
Conic Sections
Conic Sections: Parabolas and Circlesp. 620
Conic Sections: Ellipsesp. 631
Conic Sections: Hyperbolasp. 639
Connecting the Conceptsp. 643
Nonlinear Systems of Equationsp. 649
Summary and Reviewp. 658
Testp. 660
Sequences, Series, and the Binomial Theorem
Sequences and Seriesp. 662
Arithmetic Sequences and Seriesp. 668
Geometric Sequences and Seriesp. 677
The Binomial Theoremp. 688
Connecting the Conceptsp. 688
Summary and Reviewp. 696
Testp. 698
Cumulative Review: Chapters 1-11p. 699
The Graphing Calculatorp. 703
Answersp. 1
Indexp. 1
Index of Applications
Videotape and CD Index
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