Introductory and Intermediate Algebra

by Lial, Margaret L.; Hornsby, John; McGinnis, Terry

• ISBN13: 9780321279224
• ISBN10: 0321279220
• Edition: 3rd
• Format: Paperback
• Copyright: 2006-01-01
• Publisher: Addison Wesley

Summary

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 Applications	p. vii
Index of Focus on Real-Data Applications	p. xi
Preface	p. xiii
Feature Walk-Through	p. xix
An Introduction to Calculators	p. xxiii
To the Student: Success in Algebra	p. xxix
Diagnostic Pretest	p. xxxi
Prealgebra Review	p. I
Fractions	p. 1
Decimals and Percents	p. 13
The Real Number System	p. 23
Exponents, Order of Operations, and Inequality	p. 24
Variables, Expressions, and Equations	p. 31
Real Numbers and the Number Line	p. 39
Adding Real Numbers	p. 47
Subtracting Real Numbers	p. 55
Multiplying and Dividing Real Numbers	p. 65
Summary Exercises on Operations with Real Numbers	p. 77
Properties of Real Numbers	p. 79
Simplifying Expressions	p. 89
Summary	p. 95
Review Exercises	p. 99
Test	p. 105
Linear Equations, Inequalities, and Applications	p. 107
The Addition Property of Equality	p. 108
The Multiplication Property of Equality	p. 115
More on Solving Linear Equations	p. 121
Summary Exercises on Solving Linear Equations	p. 131
An Introduction to Applications of Linear Equations	p. 133
Formulas and Applications from Geometry	p. 147
Ratio, Proportion, and Percent	p. 157
Summary Exercises on Solving Applied Problems	p. 167
Solving Linear Inequalities	p. 171
Summary	p. 187
Review Exercises	p. 191
Test	p. 195
Cumulative Review Exercises	p. 197
Graphs of Linear Equations and Inequalities; Functions	p. 199
Reading Graphs; Linear Equations in Two Variables	p. 200
Graphing Linear Equations in Two Variables	p. 215
Slope of a Line	p. 229
Equations of Lines	p. 243
Summary Exercises on Graphing Linear Equations	p. 257
Graphing Linear Inequalities in Two Variables	p. 259
Introduction to Functions	p. 265
Summary	p. 281
Review Exercises	p. 287
Test	p. 293
Cumulative Review Exercises	p. 297
Systems of Linear Equations and Inequalities	p. 299
Solving Systems of Linear Equations by Graphing	p. 300
Solving Systems of Linear Equations by Substitution	p. 309
Solving Systems of Linear Equations by Elimination	p. 317
Summary Exercises on Solving Systems of Linear Equations	p. 325
Applications of Linear Systems	p. 327
Solving Systems of Linear Inequalities	p. 339
Summary	p. 345
Review Exercises	p. 349
Test	p. 353
Cumulative Review Exercises	p. 355
Exponents and Polynomials	p. 357
Adding and Subtracting Polynomials	p. 358
The Product Rule and Power Rules for Exponents	p. 367
Multiplying Polynomials	p. 375
Special Products	p. 383
Integer Exponents and the Quotient Rule	p. 389
Summary Exercises on the Rules for Exponents	p. 399
Dividing a Polynomial by a Monomial	p. 401
Dividing a Polynomial by a Polynomial	p. 405
An Application of Exponents: Scientific Notation	p. 411
Summary	p. 417
Review Exercises	p. 421
Test	p. 425
Cumulative Review Exercises	p. 427
Factoring and Applications	p. 429
Factors; The Greatest Common Factor	p. 430
Factoring Trinomials	p. 439
Factoring Trinomials by Grouping	p. 445
Factoring Trinomials Using FOIL	p. 449
Special Factoring Techniques	p. 455
Summary Exercises on Factoring	p. 465
Solving Quadratic Equations by Factoring	p. 467
Applications of Quadratic Equations	p. 475
Summary	p. 487
Review Exercises	p. 491
Test	p. 497
Cumulative Review Exercises	p. 499
Rational Expressions and Functions	p. 501
Rational Expressions and Functions; Multiplying and Dividing	p. 502
Adding and Subtracting Rational Expressions	p. 513
Complex Fractions	p. 523
Equations with Rational Expressions and Graphs	p. 529
Summary Exercises on Rational Expressions and Equations	p. 537
Applications of Rational Expressions	p. 539
Variation	p. 553
Summary	p. 563
Review Exercises	p. 569
Test	p. 573
Cumulative Review Exercises	p. 575
Equations, Inequalities, and Systems Revisited	p. 579
Review of Solving Linear Equations and Inequalities	p. 580
Set Operations and Compound Inequalities	p. 593
Absolute Value Equations and Inequalities	p. 605
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities	p. 617
Review of Systems of Linear Equations in Two Variables	p. 619
Systems of Linear Equations in Three Variables; Applications	p. 631
Solving Systems of Linear Equations by Matrix Methods	p. 643
Summary	p. 651
Review Exercises	p. 657
Test	p. 663
Cumulative Review Exercises	p. 665
Roots, Radicals, and Root Functions	p. 667
Radical Expressions and Graphs	p. 668
Rational Exponents	p. 681
Simplifying Radical Expressions	p. 691
Adding and Subtracting Radical Expressions	p. 703
Multiplying and Dividing Radical Expressions	p. 707
Summary Exercises on Operations with Radicals and Rational Exponents	p. 717
Solving Equations with Radicals	p. 719
Complex Numbers	p. 727
Summary	p. 737
Review Exercises	p. 741
Test	p. 745
Cumulative Review Exercises	p. 747
Quadratic Equations, Inequalities, and Functions	p. 749
Solving Quadratic Equations by the Square Root Property	p. 750
Solving Quadratic Equations by Completing the Square	p. 757
Solving Quadratic Equations by the Quadratic Formula	p. 765
Equations Quadratic in Form	p. 773
Summary Exercises on Solving Quadratic Equations	p. 785
Formulas and Further Applications	p. 787
Graphs of Quadratic Functions	p. 795
More About Parabolas; Applications	p. 807
Quadratic and Rational Inequalities	p. 819
Summary	p. 829
Review Exercises	p. 833
Test	p. 839
Cumulative Review Exercises	p. 843
Exponential and Logarithmic Functions	p. 847
Inverse Functions	p. 848
Exponential Functions	p. 857
Logarithmic Functions	p. 865
Properties of Logarithms	p. 875
Common and Natural Logarithms	p. 883
Exponential and Logarithmic Equations; Further Applications	p. 891
Summary	p. 903
Review Exercises	p. 907
Test	p. 911
Cumulative Review Exercises	p. 913
Nonlinear Functions, Conic Sections, and Nonlinear Systems	p. 917
Additional Graphs of Functions; Operations and Composition	p. 918
The Circle and the Ellipse	p. 931
The Hyperbola and Other Functions Defined by Radicals	p. 941
Nonlinear Systems of Equations	p. 951
Second-Degree Inequalities and Systems of Inequalities	p. 961
Summary	p. 969
Review Exercises	p. 973
Test	p. 977
Cumulative Review Exercises	p. 981
Review of Exponents, Polynomials, and Factoring (Transition from Introductory to Intermediate Algebra)	p. 985
Strategies for Problem Solving	p. 993
Sets	p. 1007
Mean, Median, and Mode	p. 1013
Determinants and Cramer's Rule	p. 1021
Synthetic Division	p. 1031
Answers to Selected Exercises	p. A-1
Index	p. I-1
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