Intermediate Algebra (with CD-ROM and iLrn™ Tutorial)

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  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 2004-12-08
  • Publisher: Brooks Cole
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Learn math the easy way with Tussy and Gustafson's INTERMEDIATE ALGEBRA! Study sets at the end of every chapter will improve your ability to read, write, and communicate mathematical ideas. Difficult concepts are made clear with a five-step approach to problem-solving: analyze the problem, form an equation, solve the equation, state the result, and check the solution. Prepare for exams with numerous resources located online and throughout the text such as live online tutoring, tutorials, a book companion website, chapter summaries, self-checks, practice sections, and reviews. Take advantage of the accompanying Video Skillbuilder CD-ROM that will save you class preparation time through video lessons, web quizzes, and chapter tests.

Table of Contents

A Review of Basic Algebrap. 1
The Real Numbers
The Language of Algebrap. 4
The Real Number Systemp. 11
Operations with Real Numbersp. 22
Simplifying Algebraic Expressionsp. 36
Solving Linear Equations and Formulasp. 47
Using Equations to Solve Problemsp. 60
More Problem Solvingp. 71
Key Concept: Let x =p. 87
Accent on Teamworkp. 88
Chapter Reviewp. 89
Chapter Testp. 95
Graphs, Equations of Lines, and Functionsp. 97
The Rectangular Coordinate System
Rate of Change and the Slope of a Line
Function Notation
The Rectangular Coordinate Systemp. 100
Graphing Linear Equationsp. 112
Rate of Change and the Slope of a Linep. 124
Writing Equations of Linesp. 137
Introduction to Functionsp. 149
Graphs of Functionsp. 162
Key Concept: Functionsp. 174
Accent on Teamworkp. 175
Chapter Reviewp. 176
Chapter Testp. 181
Cumulative Review Exercisesp. 183
Systems of Equationsp. 185
Solving Systems of Equations by Graphing
Solving Systems by Graphingp. 188
Solving Systems Algebraicallyp. 197
Systems of Three Equationsp. 211
Solving Systems Using Matricesp. 223
Solving Systems Using Determinantsp. 232
Key Concept: Systems of Equationsp. 242
Accent on Teamworkp. 243
Chapter Reviewp. 244
Chapter Testp. 249
Cumulative Review Exercisesp. 251
Inequalitiesp. 253
Absolute Value Equations
Solving Linear Inequalitiesp. 256
Solving Compound Inequalitiesp. 268
Solving Absolute Value Equations and Inequalitiesp. 278
Linear Inequalities in Two Variablesp. 288
Systems of Linear Inequalitiesp. 297
Key Concept: Inequalitiesp. 306
Accent on Teamworkp. 307
Chapter Reviewp. 308
Chapter Testp. 313
Cumulative Review Exercisesp. 315
Exponents, Polynomials, and Polynomial Functionsp. 317
The Greatest Common Factor and Factoring by Grouping
Factoring Trinomials and the Difference of Squares
Exponentsp. 320
Scientific Notationp. 329
Polynomials and Polynomial Functionsp. 336
Multiplying Polynomialsp. 348
The Greatest Common Factor and Factoring by Groupingp. 358
The Difference of Two Squares; the Sum and Difference of Two Cubesp. 365
Factoring Trinomialsp. 372
Summary of Factoring Techniquesp. 381
Solving Equations by Factoringp. 384
Key Concept: Polynomialsp. 394
Accent on Teamworkp. 395
Chapter Reviewp. 396
Chapter Testp. 401
Cumulative Review Exercisesp. 403
Rational Expressions, Equations, and Functionsp. 405
Solving Rational Equations
Rational Functions and Simplifying Rational Expressionsp. 408
Multiplying and Dividing Rational Expressionsp. 419
Adding and Subtracting Rational Expressionsp. 428
Complex Fractionsp. 436
Equations Containing Rational Expressionsp. 445
Dividing Polynomialsp. 458
Proportion and Variationp. 469
Key Concept: Expressions and Equationsp. 483
Accent on Teamworkp. 484
Chapter Reviewp. 485
Chapter Testp. 491
Cumulative Review Exercisesp. 493
Radical Expressions, Equations, and Functionsp. 496
Simplifying Radical Expressions
Radical Equations
Radical Expressions and Radical Functionsp. 499
Simplifying and Combining Radical Expressionsp. 510
Multiplying and Dividing Radical Expressionsp. 519
Radical Equationsp. 528
Rational Exponentsp. 536
Geometric Applications of Radicalsp. 547
Key Concept: Radicalsp. 557
Accent on Teamworkp. 558
Chapter Reviewp. 559
Chapter Testp. 565
Cumulative Review Exercisesp. 567
Quadratic Equations, Functions, and Inequalitiesp. 569
The Quadratic Formula
Completing the Squarep. 572
The Quadratic Formulap. 582
Quadratic Functions and Their Graphsp. 591
Complex Numbersp. 606
The Discriminant and Equations That Can Be Written in Quadratic Formp. 616
Quadratic and Other Nonlinear Inequalitiesp. 623
Key Concept: Solving Quadratic Equationsp. 631
Accent on Teamworkp. 632
Chapter Reviewp. 633
Chapter Testp. 639
Cumulative Review Exercisesp. 641
Exponential and Logarithmic Functionsp. 644
Exponential Functions
Properties of Logarithms
Algebra and Composition of Functionsp. 647
Inverses of Functionsp. 654
Exponential Functionsp. 664
Base-e Exponential Functionsp. 676
Logarithmic Functionsp. 684
Base-e Logarithmsp. 695
Properties of Logarithmsp. 700
Exponential and Logarithmic Equationsp. 709
Key Concept: Inverse Functionsp. 721
Accent on Teamworkp. 722
Chapter Reviewp. 723
Chapter Testp. 729
Cumulative Review Exercisesp. 731
Conic Sections; More Graphingp. 733
Introduction to Conic Sections
The Circle and the Parabolap. 736
The Ellipsep. 747
The Hyperbolap. 756
Solving Simultaneous Second-Degree Equationsp. 764
Key Concept: Conic Sectionsp. 770
Accent on Teamworkp. 771
Chapter Reviewp. 772
Chapter Testp. 775
Cumulative Review Exercisesp. 777
Fractions and Decimalsp. 1
Cumulative Review of Graphingp. 13
Answers to Selected Exercises (Appears in the Student Edition only)p. 15
Indexp. 1
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