Elementary 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 Elementary 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 real-data applications, and 50% more 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
Introduction to Algebraic Expressions
Introduction to Algebrap. 2
The Commutative, Associative, and Distributive Lawsp. 11
Fraction Notationp. 18
Positive and Negative Real Numbersp. 26
Addition of Real Numbersp. 34
Subtraction of Real Numbersp. 41
Multiplication and Division of Real Numbersp. 48
Exponential Notation and Order of Operationsp. 55
Connecting the Conceptsp. 61
Summary and Reviewp. 64
Testp. 66
Equations, Inequalities, and Problem Solving
Solving Equationsp. 70
Using the Principles Togetherp. 77
Connecting the Conceptsp. 77
Formulasp. 85
Applications with Percentp. 91
Problem Solvingp. 98
Solving Inequalitiesp. 109
Solving Applications with Inequalitiesp. 117
Summary and Reviewp. 125
Testp. 127
Introduction to Graphing
Reading Graphs, Plotting Points, and Estimating Valuesp. 130
Graphing Linear Equationsp. 142
Graphing and Interceptsp. 152
Ratesp. 161
Slopep. 170
Connecting the Conceptsp. 177
Slope-Intercept Formp. 183
Point-Slope Formp. 191
Summary and Reviewp. 196
Testp. 198
Cumulative Review: Chapters 1-3p. 199
Exponents and Their Propertiesp. 202
Polynomialsp. 210
Addition and Subtraction of Polynomialsp. 218
Connecting the Conceptsp. 220
Multiplication of Polynomialsp. 227
Special Productsp. 235
Polynomials in Several Variablesp. 244
Division of Polynomialsp. 253
Negative Exponents and Scientific Notationp. 258
Summary and Reviewp. 268
Testp. 271
Polynomials and Factoring
Introduction to Factoringp. 274
Factoring Trinomials of the Type x[superscript 2] + bx + cp. 281
Factoring Trinomials of the Type ax[superscript 2] + bx + cp. 289
Factoring Perfect-Square Trinomials and Differences of Squaresp. 298
Factoring: A General Strategyp. 305
Connecting the Conceptsp. 305
Solving Quadratic Equations by Factoringp. 311
Connecting the Conceptsp. 311
Solving Applicationsp. 319
Summary and Reviewp. 328
Testp. 330
Rational Expressions and Equations
Rational Expressionsp. 332
Multiplication and Divisionp. 339
Addition, Subtraction, and Least Common Denominatorsp. 346
Addition and Subtraction with Unlike Denominatorsp. 355
Complex Rational Expressionsp. 363
Solving Rational Equationsp. 369
Connecting the Conceptsp. 369
Applications Using Rational Equations and Proportionsp. 375
Summary and Reviewp. 387
Testp. 390
Cumulative Review: Chapters 1-6p. 391
Systems and More Graphing
Systems of Equations and Graphingp. 394
Systems of Equations and Substitutionp. 400
Systems of Equations and Eliminationp. 407
More Applications Using Systemsp. 415
Connecting the Conceptsp. 415
Linear Inequalities in Two Variablesp. 425
Systems of Linear Inequalitiesp. 431
Direct and Inverse Variationp. 434
Summary and Reviewp. 440
Testp. 443
Radical Expressions and Equations
Introduction to Square Roots and Radical Expressionsp. 446
Multiplying and Simplifying Radical Expressionsp. 453
Quotients Involving Square Rootsp. 458
More Operations with Radicalsp. 463
Radical Equationsp. 467
Connecting the Conceptsp. 467
Applications Using Right Trianglesp. 475
Higher Roots and Rational Exponentsp. 482
Summary and Reviewp. 487
Testp. 489
Quadratic Equations
Solving Quadratic Equations: The Principle of Square Rootsp. 492
Solving Quadratic Equations: Completing the Squarep. 497
The Quadratic Formula and Applicationsp. 503
Connecting the Conceptsp. 506
Formulas and Equationsp. 512
Connecting the Conceptsp. 513
Complex Numbers as Solutions of Quadratic Equationsp. 519
Graphs of Quadratic Equationsp. 522
Functionsp. 528
Summary and Reviewp. 538
Testp. 540
Cumulative Review: Chapters 1-9p. 541
Setsp. 545
Factoring Sums or Differences of Cubesp. 549
Fractional and Decimal Equivalentsp. 553
Squares and Square Rootsp. 554
Geometric Formulasp. 555
Answersp. 1
Glossaryp. 1
Indexp. 1
Index of Applications
Videotape Index
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