# Introductory and Intermediate Algebra

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• ISBN10:

## 0321064615

• Edition: 2nd
• Format: Paperback
• Publisher: Addison Wesley
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### Summary

The Lial/Hornsby developmental mathematics paperback series has helped thousands of students succeed in math. In keeping with its proven track record, this revision includes a sharp new design, many new exercises and applications, and several new features to enhance student learning. Among the features added or revised include a new Study Skills Workbook, a Diagnostic Pretest, Chapter Openers, Test Your Word Power, Focus on Real-Data Applications, and increased use of the authors' six-step problem-solving process.

 List of Applications
vi
 List of Focus on Real-Data Applications
ix
Preface xi
Feature Walk-Through xvii
An Introduction to Calculators xxi
To the Student xxvii
Diagnostic Pretest xxix
 Prealgebra Review
1(24)
 Fractions
1(14)
 Decimals and Percents
15(10)
 The Real Number System
25(80)
 Exponents, Order of Operations, and Inequality
26(7)
 Variables, Expressions, and Equations
33(8)
 Real Numbers and the Number Line
41(8)
 Addition of Real Numbers
49(8)
 Subtraction of Real Numbers
57(8)
 Multiplication and Division of Real Numbers
65(12)
 Properties of Real Numbers
77(10)
 Simplifying Expressions
87(18)
 Summary
93(4)
 Review Exercises
97(6)
 Test
103(2)
 Linear Equations and Applications
105(64)
 The Addition Property of Equality
106(7)
 The Multiplication Property of Equality
113(6)
 More on Solving Linear Equations
119(8)
 An Introduction to Applications of Linear Equations
127(10)
 Formulas and Applications from Geometry
137(10)
 Ratio, Proportion, and Percent
147(22)
 Summary
157(4)
 Review Exercises
161(4)
 Test
165(2)
 Cumulative Review Exercises: Chapters R-2
167(2)
 Linear Inequalities and Absolute Value
169(52)
 Linear Inequalities in One Variable
170(15)
 Set Operations and Compound Inequalities
185(10)
 Absolute Value Equations and Inequalities
195(26)
 Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities
207(2)
 Summary
209(4)
 Review Exercises
213(4)
 Test
217(2)
 Cumulative Review Exercises: Chapters R-3
219(2)
 Graphs of Linear Equations and Inequalities; Functions
221(100)
 Reading Graphs; Linear Equations in Two Variables
222(17)
 Graphing Linear Equations in Two Variables
239(14)
 Slope
253(14)
 Equations of Lines
267(14)
 Graphing Linear Inequalities in Two Variables
281(8)
 Introduction to Functions
289(32)
 Summary
303(6)
 Review Exercises
309(6)
 Test
315(4)
 Cumulative Review Exercises: Chapters R-4
319(2)
 Systems of Linear Equations
321(74)
 Solving Systems of Linear Equations by Graphing
322(9)
 Solving Systems of Linear Equations by Substitution
331(10)
 Solving Systems of Linear Equations by Elimination
341(10)
 Linear Systems of Equations in Three Variables
351(10)
 Applications of Linear Systems of Equations
361(14)
 Solving Linear Systems of Equations by Matrix Methods
375(20)
 Summary
383(4)
 Review Exercises
387(4)
 Test
391(2)
 Cumulative Review Exercises: Chapters R-5
393(2)
 Exponents and Polynomials
395(70)
 Adding and Subtracting Polynomials
396(9)
 The Product Rule and Power Rules for Exponents
405(8)
 Multiplying Polynomials
413(8)
 Special Products
421(6)
 Integer Exponents and the Quotient Rule
427(10)
 Dividing a Polynomial by a Monomial
437(4)
 The Quotient of Two Polynomials
441(6)
 An Application of Exponents: Scientific Notation
447(18)
 Summary
453(4)
 Review Exercises
457(4)
 Test
461(2)
 Cumulative Review Exercises: Chapters R-6
463(2)
 Factoring and Applications
465(72)
 Factors; The Greatest Common Factor
466(9)
 Factoring Trinomials
475(6)
 Factoring Trinomials by Grouping
481(4)
 Factoring Trinomials Using FOIL
485(6)
 Special Factoring Techniques
491(12)
 Summary Exercises on Factoring
501(2)
 Solving Quadratic Equations by Factoring
503(8)
 Applications of Quadratic by Equations
511(26)
 Summary
523(4)
 Review Exercises
527(6)
 Test
533(2)
 Cumulative Review Exercises: Chapters R-7
535(2)
 Rational Expressions and Applications
537(76)
 Rational Expressions and Functions; Multiplying and Dividing
538(11)
 Adding and Subtracting Rational Expressions
549(10)
 Complex Fractions
559(6)
 Graphs and Equations with Rational Expressions
565(10)
 Summary Exercises on Operations and Equations with Rational Expressions
573(2)
 Applications of Rational Expressions
575(14)
 Variation
589(24)
 Summary
599(4)
 Review Exercises
603(4)
 Test
607(2)
 Cumulative Review Exercises: Chapters R-8
609(4)
613(76)
 Radical Expressions and Graphs
614(11)
 Rational Exponents
625(10)
635(10)
645(4)
 Multiplying and Dividing Radical Expressions
649(10)
 Equations with Radical Expressions
659(8)
 Complex Numbers
667(22)
 Summary
677(4)
 Review Exercises
681(4)
 Test
685(2)
 Cumulative Review Exercises: Chapters R-9
687(2)
 Quadratic Equations, Inequalities, and Graphs
689(96)
 Solving Quadratic Equations by the Square Root Property
690(7)
 Solving Quadratic Equations by Completing the Square
697(8)
 Solving Quadratic Equations by the Quadratic Formula
705(8)
 Equations Quadratic in Form
713(12)
 Formulas and Further Applications
725(8)
 Graphs of Quadratic Functions
733(12)
 More About Parabolas; Applications
745(12)
 Quadratic and Rational Inequalities
757(28)
 Summary
767(4)
 Review Exercises
771(6)
 Test
777(4)
 Cumulative Review Exercises: Chapters R-10
781(4)
 Exponential and Logarithmic Functions
785(70)
 Inverse Functions
786(9)
 Exponential Functions
795(8)
 Logarithmic Functions
803(10)
 Properties of Logarithms
813(8)
 Common and Natural Logarithms
821(8)
 Exponential and Logarithmic Equations; Further Applications
829(26)
 Summary
841(4)
 Review Exercises
845(4)
 Test
849(2)
 Cumulative Review Exercises: Chapters R-11
851(4)
 Nonlinear Functions, Conic Sections, and Nonlinear Systems
855
 Additional Graphs of Functions; Operations and Composition
856(11)
 The Circle and the Ellipse
867(10)
 The Hyperbola and Other Functions Defined by Radicals
877(10)
 Nonlinear Systems of Equations
887(10)
 Second-Degree Inequalities and Systems of Inequalities
897
 Summary
905(4)
 Review Exercises
909(6)
 Test
915(4)
 Cumulative Review Exercises: Chapters R-12
919
Appendix A Sets 1(6)
Appendix B Determinants and Cramer's Rule 7(10)
Appendix C Synthetic Division 17(6)
Appendix D Review of Exponents, Polynomials, and Factoring 23(8)
Answers to Selected Exercises 31
Index 1