Intermediate Algebra

by Bittinger, Marvin L.

• ISBN13: 9780201746327
• ISBN10: 0201746328
• Additional ISBN(s): 9780201728484, 9780321319081
• Edition: 9th
• Format: Paperback
• Copyright: 2003-01-01
• Publisher: Addison Wesley
• More Book Details
• Purchase Benefits

Summary

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