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

by Tussy, Alan S.; Gustafson, R. David

• ISBN13: 9780534419233
• ISBN10: 0534419232
• Edition: 3rd
• Format: Hardcover
• Copyright: 2004-12-08
• Publisher: Brooks Cole

Summary

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 Algebra	p. 1
The Real Numbers
The Language of Algebra	p. 4
The Real Number System	p. 11
Operations with Real Numbers	p. 22
Simplifying Algebraic Expressions	p. 36
Solving Linear Equations and Formulas	p. 47
Using Equations to Solve Problems	p. 60
More Problem Solving	p. 71
Key Concept: Let x =	p. 87
Accent on Teamwork	p. 88
Chapter Review	p. 89
Chapter Test	p. 95
Graphs, Equations of Lines, and Functions	p. 97
The Rectangular Coordinate System
Rate of Change and the Slope of a Line
Function Notation
The Rectangular Coordinate System	p. 100
Graphing Linear Equations	p. 112
Rate of Change and the Slope of a Line	p. 124
Writing Equations of Lines	p. 137
Introduction to Functions	p. 149
Graphs of Functions	p. 162
Key Concept: Functions	p. 174
Accent on Teamwork	p. 175
Chapter Review	p. 176
Chapter Test	p. 181
Cumulative Review Exercises	p. 183
Systems of Equations	p. 185
Solving Systems of Equations by Graphing
Solving Systems by Graphing	p. 188
Solving Systems Algebraically	p. 197
Systems of Three Equations	p. 211
Solving Systems Using Matrices	p. 223
Solving Systems Using Determinants	p. 232
Key Concept: Systems of Equations	p. 242
Accent on Teamwork	p. 243
Chapter Review	p. 244
Chapter Test	p. 249
Cumulative Review Exercises	p. 251
Inequalities	p. 253
Absolute Value Equations
Solving Linear Inequalities	p. 256
Solving Compound Inequalities	p. 268
Solving Absolute Value Equations and Inequalities	p. 278
Linear Inequalities in Two Variables	p. 288
Systems of Linear Inequalities	p. 297
Key Concept: Inequalities	p. 306
Accent on Teamwork	p. 307
Chapter Review	p. 308
Chapter Test	p. 313
Cumulative Review Exercises	p. 315
Exponents, Polynomials, and Polynomial Functions	p. 317
The Greatest Common Factor and Factoring by Grouping
Factoring Trinomials and the Difference of Squares
Exponents	p. 320
Scientific Notation	p. 329
Polynomials and Polynomial Functions	p. 336
Multiplying Polynomials	p. 348
The Greatest Common Factor and Factoring by Grouping	p. 358
The Difference of Two Squares; the Sum and Difference of Two Cubes	p. 365
Factoring Trinomials	p. 372
Summary of Factoring Techniques	p. 381
Solving Equations by Factoring	p. 384
Key Concept: Polynomials	p. 394
Accent on Teamwork	p. 395
Chapter Review	p. 396
Chapter Test	p. 401
Cumulative Review Exercises	p. 403
Rational Expressions, Equations, and Functions	p. 405
Solving Rational Equations
Rational Functions and Simplifying Rational Expressions	p. 408
Multiplying and Dividing Rational Expressions	p. 419
Adding and Subtracting Rational Expressions	p. 428
Complex Fractions	p. 436
Equations Containing Rational Expressions	p. 445
Dividing Polynomials	p. 458
Proportion and Variation	p. 469
Key Concept: Expressions and Equations	p. 483
Accent on Teamwork	p. 484
Chapter Review	p. 485
Chapter Test	p. 491
Cumulative Review Exercises	p. 493
Radical Expressions, Equations, and Functions	p. 496
Simplifying Radical Expressions
Radical Equations
Radical Expressions and Radical Functions	p. 499
Simplifying and Combining Radical Expressions	p. 510
Multiplying and Dividing Radical Expressions	p. 519
Radical Equations	p. 528
Rational Exponents	p. 536
Geometric Applications of Radicals	p. 547
Key Concept: Radicals	p. 557
Accent on Teamwork	p. 558
Chapter Review	p. 559
Chapter Test	p. 565
Cumulative Review Exercises	p. 567
Quadratic Equations, Functions, and Inequalities	p. 569
The Quadratic Formula
Completing the Square	p. 572
The Quadratic Formula	p. 582
Quadratic Functions and Their Graphs	p. 591
Complex Numbers	p. 606
The Discriminant and Equations That Can Be Written in Quadratic Form	p. 616
Quadratic and Other Nonlinear Inequalities	p. 623
Key Concept: Solving Quadratic Equations	p. 631
Accent on Teamwork	p. 632
Chapter Review	p. 633
Chapter Test	p. 639
Cumulative Review Exercises	p. 641
Exponential and Logarithmic Functions	p. 644
Exponential Functions
Properties of Logarithms
Algebra and Composition of Functions	p. 647
Inverses of Functions	p. 654
Exponential Functions	p. 664
Base-e Exponential Functions	p. 676
Logarithmic Functions	p. 684
Base-e Logarithms	p. 695
Properties of Logarithms	p. 700
Exponential and Logarithmic Equations	p. 709
Key Concept: Inverse Functions	p. 721
Accent on Teamwork	p. 722
Chapter Review	p. 723
Chapter Test	p. 729
Cumulative Review Exercises	p. 731
Conic Sections; More Graphing	p. 733
Introduction to Conic Sections
The Circle and the Parabola	p. 736
The Ellipse	p. 747
The Hyperbola	p. 756
Solving Simultaneous Second-Degree Equations	p. 764
Key Concept: Conic Sections	p. 770
Accent on Teamwork	p. 771
Chapter Review	p. 772
Chapter Test	p. 775
Cumulative Review Exercises	p. 777
Fractions and Decimals	p. 1
Cumulative Review of Graphing	p. 13
Answers to Selected Exercises (Appears in the Student Edition only)	p. 15
Index	p. 1
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