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Introductory and Intermediate Algebra / Edition 5

Introductory and Intermediate Algebra / Edition 5

by Margaret L. Lial


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Product Details

ISBN-13: 2900321865532
Publisher: Pearson
Publication date: 01/24/2013
Edition description: Older Edition
Pages: 864
Product dimensions: 8.40(w) x 10.80(h) x 1.50(d)

About the Author

Marge Lial (late) became interested in math at an early age–it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. She was particularly interested in archeology; trips to various digs and ruin sites produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan. We dedicate the new editions of the paperback developmental math series to Marge in honor of her contributions to the field in which she helped thousands of students succeed.

When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

A native Midwesterner, Terry McGinnis received her Bachelor’s of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series that includes Introductory Algebra, Intermediate Algebra, and Introductory and Intermediate Algebra. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of two sons, Andrew and Tyler.

Table of Contents

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

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