Essentials of College algebra /
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- EUA Pearson 2006
- 539 20cm de ancho X 25.5cm de largo
- Serie .
Contents
Prefour vi
Supplements Guide xi
R Review of Basic Concepts/
R.1 Real Numbers and Their Properties 2
Sexs of Numbers and the Number Line
Exponens
Order of Op
Properties of Real Numbers
R.2 Order and Absolute Value 16
Order on the Number Line
Absolute Value
Properties of A
R.3 Polynomials 24
Rules for Exponents Polnomials Addition and Saberпастел
Multiplication
Divin
R.4 Factoring Polynomials 37
Factoring Out the Greatest Common Factor Factoring by Grimping
Factoring Trinomials
Factorany Himonials
Factoring by Sabaton
R.5 Rational Expressions 46
Rational Expressions
Lowest Term of a Rational Expresstom
Complex Fractions
Multiplication and
Division Achdition and Sobtraction
R.6 Rational Exponents 55
Negative Exponents and the Quotient Rule
Rational Exponen Complex
Fractions Revisited
Simplified Radicals Radical Notation
Operations with Radicals
R.7 Radical Expressions 65
Rationalizing Denominators
Summary 76
Review Exercises 79
Test 83
Quantitative Reasoning 84
1 Equations and Inequalities
85
1.1 Linear Equations 86
Basic Terminology of Equations Solving Linear Equation
Identities
Conditional Equations, and Contradictions Solving for a Specifient Variable
(Lateral Equations)
Applications and Modeling with Linear Equations 92
1.2
Solving Applied Problems
Geometry Problems
Motion Problems Modeling with Linear Equations
Work Rate Problems
Mixture Problems
1.3 Complex Numbers 107
Basic Concepts of Complex Numbers
Operations on Complex Numbers
1.4 Quadratie Equations 115
Solving a Quadratic Equation Completing the Square
Formula
The Discriminant Solving for a Specified Variable
The Quadru 4.6
Applications and Models of Exponential Growth and Decay
452
The Exponential Growth or Decay Fonction Decay Function Models Growth Function Models
Summary 464
Review Exercises 467
Test 471.
473
Quantitative Reasoning 472
5 Other Topics in Algebra
5.1 Systems of Linear Equations 474
Elimination Method
Substitution Method Linear Systems Systems Unknowns (Variables) Applying Systems of Equations Using Systems of Equations to Model Data
Special Solving Linear Systems with Three
Summary Exercises on Systems of Equations
491
5.2 Sequences and Series 492
Summation Properties
Sequences Series and Summation Notation
5.3 Arithmetic Sequences and Series 503
Arithmetic Sequences
Arithmetic Series
5.4 Geometric Sequences and Series
512
Geometric Sequences Geometric Series Annuities
Infinite Geometric Series
Summary Exercises on Sequences and Series 523
Summary 525
Review Exercises
528
Test 531
Quantitative Reasoning 5.32
Appendix
Sets
533
Glossary 539
Solutions to Selected Exercises S-1
Answers to Selected Exercises A-1
Index of Applications
1-1
Index 1-5
Preface
In Essentials of College Algebra, we continue our ongoing commitment to pro-viding the best possible text to help instructors teach and students succeed. To help students develop both the conceptual understanding and the analytical skills necessary to experience success in mathematics, we present each mathe-matical topic in the text using a systematic approach designed to actively engage students in the learning process. We have tried to address the diverse needs of to-day's students through an open design, updated figures and graphs, helpful fea-tures, careful explanations of topics, and a comprehensive package of supple-ments and study aids. Students planning to continue their study of mathematics in calculus, trigonometry, statistics, or other disciplines, as well as those taking college algebra as their final mathematics course, will benefit from the text's student-oriented approach. We believe instructors will particularly welcome the Annotated Instructor's Edition, which provides answers in the margins to almost all exercises, plus helpful Teaching Tips.
This text is a brief version of the Ninth Edition of our College Algebra text-book. It has been specifically designed to provide a more compact and less ex-pensive alternative to better meet the needs of colleges whose College Algebra courses do not include the more advanced topics covered in the longer text. To put it simply, we have focused the content of this book on helping students mas-ter the basic functions in college algebra and their graphs, while including a strong review of intermediate algebra at the beginning of the text and an intro duction to systems of linear equations and to sequences and series in Chapter 5. If you feel that the longer College Algebra textbook might be more suitable for your course, please contact your local Addison-Wesley representative to receive a copy.
Pedagogical Features
We are pleased to offer the following features
Chapter Openers These provide a quick preview of the chapter topics, plus a reference to a motivating application within the chapter.
Examples Step-by-step solutions to examples are easily identified using a Solution head. We have carefully polished all solutions and incorporated side comments and explanations, including helpful section references to previously covered material. Selected examples provide graphing calculator solutions alongside traditional algebraic solutions. The graphing calculator solutions can be easily omitted if desired.
Real-Life Applications We are always on the lookout for interesting data to use in real-life applications. As a result, we have incorporated many applied