Introductory and Intermediate Algebra

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  • Edition: 3rd
  • Format: Paperback
  • Copyright: 2006-01-01
  • Publisher: Addison Wesley
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Normal 0 false false false MicrosoftInternetExplorer4 Lial/Hornsby/McGinnisrs"sIntroductory and Intermediate Algebra,3e gives students the necessary tools to succeed in developmental math courses and prepares them for future math courses and the rest of their lives. The Lial developmental team creates a pattern for success by emphasizing problem solving skills, vocabulary comprehension, real-world applications, and strong exercise sets. In keeping with its proven track record, this revision includes an effective new design, many new exercises and applications, and increased Summary Exercises to enhance comprehension and challenge students'knowledge of the subject matter. Prealgebra Review; The Real Number System; Linear Equations, Inequalities, and Applications; Graphs of Linear Equations and Inequalities; Functions; Systems of Equations and Inequalities; Exponents and Polynomials; Factoring and Applications; Rational Expressions and Functions; Equations, Inequalities, and Systems Revisited; Roots, Radicals, and Root Functions; Quadratic Equations, Inequalities, and Functions; Exponential and Logarithmic Functions; Nonlinear Functions, Conic Sections, and Nonlinear Systems For all readers interested in introductory and intermediate algebra.

Table of Contents

Index of Applicationsp. vii
Index of Focus on Real-Data Applicationsp. xi
Prefacep. xiii
Feature Walk-Throughp. xix
An Introduction to Calculatorsp. xxiii
To the Student: Success in Algebrap. xxix
Diagnostic Pretestp. xxxi
Prealgebra Reviewp. I
Fractionsp. 1
Decimals and Percentsp. 13
The Real Number Systemp. 23
Exponents, Order of Operations, and Inequalityp. 24
Variables, Expressions, and Equationsp. 31
Real Numbers and the Number Linep. 39
Adding Real Numbersp. 47
Subtracting Real Numbersp. 55
Multiplying and Dividing Real Numbersp. 65
Summary Exercises on Operations with Real Numbersp. 77
Properties of Real Numbersp. 79
Simplifying Expressionsp. 89
Summaryp. 95
Review Exercisesp. 99
Testp. 105
Linear Equations, Inequalities, and Applicationsp. 107
The Addition Property of Equalityp. 108
The Multiplication Property of Equalityp. 115
More on Solving Linear Equationsp. 121
Summary Exercises on Solving Linear Equationsp. 131
An Introduction to Applications of Linear Equationsp. 133
Formulas and Applications from Geometryp. 147
Ratio, Proportion, and Percentp. 157
Summary Exercises on Solving Applied Problemsp. 167
Solving Linear Inequalitiesp. 171
Summaryp. 187
Review Exercisesp. 191
Testp. 195
Cumulative Review Exercisesp. 197
Graphs of Linear Equations and Inequalities; Functionsp. 199
Reading Graphs; Linear Equations in Two Variablesp. 200
Graphing Linear Equations in Two Variablesp. 215
Slope of a Linep. 229
Equations of Linesp. 243
Summary Exercises on Graphing Linear Equationsp. 257
Graphing Linear Inequalities in Two Variablesp. 259
Introduction to Functionsp. 265
Summaryp. 281
Review Exercisesp. 287
Testp. 293
Cumulative Review Exercisesp. 297
Systems of Linear Equations and Inequalitiesp. 299
Solving Systems of Linear Equations by Graphingp. 300
Solving Systems of Linear Equations by Substitutionp. 309
Solving Systems of Linear Equations by Eliminationp. 317
Summary Exercises on Solving Systems of Linear Equationsp. 325
Applications of Linear Systemsp. 327
Solving Systems of Linear Inequalitiesp. 339
Summaryp. 345
Review Exercisesp. 349
Testp. 353
Cumulative Review Exercisesp. 355
Exponents and Polynomialsp. 357
Adding and Subtracting Polynomialsp. 358
The Product Rule and Power Rules for Exponentsp. 367
Multiplying Polynomialsp. 375
Special Productsp. 383
Integer Exponents and the Quotient Rulep. 389
Summary Exercises on the Rules for Exponentsp. 399
Dividing a Polynomial by a Monomialp. 401
Dividing a Polynomial by a Polynomialp. 405
An Application of Exponents: Scientific Notationp. 411
Summaryp. 417
Review Exercisesp. 421
Testp. 425
Cumulative Review Exercisesp. 427
Factoring and Applicationsp. 429
Factors; The Greatest Common Factorp. 430
Factoring Trinomialsp. 439
Factoring Trinomials by Groupingp. 445
Factoring Trinomials Using FOILp. 449
Special Factoring Techniquesp. 455
Summary Exercises on Factoringp. 465
Solving Quadratic Equations by Factoringp. 467
Applications of Quadratic Equationsp. 475
Summaryp. 487
Review Exercisesp. 491
Testp. 497
Cumulative Review Exercisesp. 499
Rational Expressions and Functionsp. 501
Rational Expressions and Functions; Multiplying and Dividingp. 502
Adding and Subtracting Rational Expressionsp. 513
Complex Fractionsp. 523
Equations with Rational Expressions and Graphsp. 529
Summary Exercises on Rational Expressions and Equationsp. 537
Applications of Rational Expressionsp. 539
Variationp. 553
Summaryp. 563
Review Exercisesp. 569
Testp. 573
Cumulative Review Exercisesp. 575
Equations, Inequalities, and Systems Revisitedp. 579
Review of Solving Linear Equations and Inequalitiesp. 580
Set Operations and Compound Inequalitiesp. 593
Absolute Value Equations and Inequalitiesp. 605
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalitiesp. 617
Review of Systems of Linear Equations in Two Variablesp. 619
Systems of Linear Equations in Three Variables; Applicationsp. 631
Solving Systems of Linear Equations by Matrix Methodsp. 643
Summaryp. 651
Review Exercisesp. 657
Testp. 663
Cumulative Review Exercisesp. 665
Roots, Radicals, and Root Functionsp. 667
Radical Expressions and Graphsp. 668
Rational Exponentsp. 681
Simplifying Radical Expressionsp. 691
Adding and Subtracting Radical Expressionsp. 703
Multiplying and Dividing Radical Expressionsp. 707
Summary Exercises on Operations with Radicals and Rational Exponentsp. 717
Solving Equations with Radicalsp. 719
Complex Numbersp. 727
Summaryp. 737
Review Exercisesp. 741
Testp. 745
Cumulative Review Exercisesp. 747
Quadratic Equations, Inequalities, and Functionsp. 749
Solving Quadratic Equations by the Square Root Propertyp. 750
Solving Quadratic Equations by Completing the Squarep. 757
Solving Quadratic Equations by the Quadratic Formulap. 765
Equations Quadratic in Formp. 773
Summary Exercises on Solving Quadratic Equationsp. 785
Formulas and Further Applicationsp. 787
Graphs of Quadratic Functionsp. 795
More About Parabolas; Applicationsp. 807
Quadratic and Rational Inequalitiesp. 819
Summaryp. 829
Review Exercisesp. 833
Testp. 839
Cumulative Review Exercisesp. 843
Exponential and Logarithmic Functionsp. 847
Inverse Functionsp. 848
Exponential Functionsp. 857
Logarithmic Functionsp. 865
Properties of Logarithmsp. 875
Common and Natural Logarithmsp. 883
Exponential and Logarithmic Equations; Further Applicationsp. 891
Summaryp. 903
Review Exercisesp. 907
Testp. 911
Cumulative Review Exercisesp. 913
Nonlinear Functions, Conic Sections, and Nonlinear Systemsp. 917
Additional Graphs of Functions; Operations and Compositionp. 918
The Circle and the Ellipsep. 931
The Hyperbola and Other Functions Defined by Radicalsp. 941
Nonlinear Systems of Equationsp. 951
Second-Degree Inequalities and Systems of Inequalitiesp. 961
Summaryp. 969
Review Exercisesp. 973
Testp. 977
Cumulative Review Exercisesp. 981
Review of Exponents, Polynomials, and Factoring (Transition from Introductory to Intermediate Algebra)p. 985
Strategies for Problem Solvingp. 993
Setsp. 1007
Mean, Median, and Modep. 1013
Determinants and Cramer's Rulep. 1021
Synthetic Divisionp. 1031
Answers to Selected Exercisesp. A-1
Indexp. I-1
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