Beginning and Intermediate Algebra / Edition 6 available in Hardcover
Is there anything more beautiful than an “A” in Algebra? Not to the Lial team! Marge Lial, John Hornsby, and Terry McGinnis write their textbooks and accompanying resources with one goal in mind: giving students and teachers all the tools they need to achieve success. With this revision of the Lial Developmental Algebra Series, the team has further refined the presentation and exercises throughout the text. They offer several exciting new resources for students and teachers that will provide extra help when needed, regardless of the learning environment (traditional, lab-based, hybrid, online)–new study skills activities in the text, and more.
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About the Author
Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is affiliated with American River College. Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have 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.
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), and has been an avid 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 both 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(Each Chapter ends with a Group Activity, Summary, Review Exercises, a Chapter Test and, with the exception of Ch. 1, a Cumulative Review)
List of Applications.
1. The Real Number System.
Exponents, Order of Operations, and Inequality.
Variables, Expressions, and Equations.
Real Numbers and the Number Line.
Adding and Subtracting Real Numbers.
Multiplying and Dividing Real Numbers.
Summary Exercises on Operations with Real Numbers.
Properties of Real Numbers.
2. Linear Equations and Inequalities in One Variable; Applications.
The Addition Property of Equality.
The Multiplication Property of Equality.
More on Solving Linear Equations.
Summary Exercises on Solving Linear Equations.
An Introduction to Applications of Linear Equations.
Formulas and Applications from Geometry.
Ratios and Proportions.
More about Problem Solving.
Solving Linear Inequalities.
3. Linear Equations in Two Variables.
Reading Graphs; Linear Equations in Two Variables.
Graphing Linear Equations in Two Variables.
The Slope of a Line.
Equations of a Line.
4. Exponents and Polynomials.
The Product Rule and Power Rules for Exponents.
Integer Exponents and the Quotient Rule.
Summary Exercises on the Rules for Exponents.
An Application of Exponents: Scientific Notation.
Adding and Subtracting Polynomials; Graphing Simple Polynomials.
5. Factoring and Applications.
The Greatest Common Factor; Factoring by Grouping.
More on FactoringTrinomials.
Special Factoring Rules.
Summary Exercises on Factoring.
Solving Quadratic Equations by Factoring.
Applications of Quadratic Equations.
6. Rational Expressions and Applications.
The Fundamental Property of Rational Expressions.
Multiplying and Dividing Rational Expressions.
Least Common Denominators.
Adding and Subtracting Rational Expressions.
Solving Equations with Rational Expressions.
Summary Exercises on Operations and Equations with Rational Expressions.
Applications of Rational Expressions.
7. Equations of Lines; Functions.
Review of Graphs and Slopes of Lines.
Review of Equations of Lines; Linear Models.
8. Systems of Linear Equations.
Solving Systems of Linear Equations by Graphing.
Solving Systems of Linear Equations by Substitution.
Solving Systems of Linear Equations by Elimination.
Summary Exercises on Solving Systems of Linear Equations.
Systems of Linear Equations in Three Variables.
Applications of Systems of Linear Equations.
Solving Systems of Linear Equations by Matrix Methods.
9. Inequalities and Absolute Value.
Set Operations and Compound Inequalities.
Absolute Value Equations and Inequalities.
Linear Inequalities in Two Variables.
10. Roots, Radicals, and Root Functions.
Radical Expressions and Graphs.
Simplifying Radical Expressions.
Adding and Subtracting Radical Expressions.
Multiplying and Dividing Radical Expressions.
Summary Exercises on Operations with Radicals.
Solving Equations with Radicals.
11. Quadratic Equations, Inequalities, and Functions.
Solving Quadratic Equations by the Square Root Property.
Solving Quadratic Equations by Completing the Square.
Solving Quadratic Equations by the Quadratic Formula.
Equations Quadratic in Form.
Summary Exercises on Solving Quadratic Equations.
Formulas and Further Applications.
Graphs of Quadratic Functions.
More about Parabolas; Applications.
Quadratic and Rational Inequalities.
12. Inverse, Exponential, and Logarithmic Functions.
Properties of Logarithms.
Common and Natural Logarithms.
Exponential and Logarithmic Equations; Further Applications.
13. Nonlinear Functions, Conic Sections, and Nonlinear Systems.
Additional Graphs of Functions; Operations and Composition.
The Circle and the Ellipse.
The Hyperbola and Functions Defined by Radicals.
Nonlinear Systems of Equations.
Second-Degree Inequalities and Systems of Inequalities.
14. Sequences and Series.
Sequences and Series.
The Binomial Theorem.
Appendix A: An Introduction to Calculators.
Appendix B: Review of Decimals and Percents.
Appendix C: Sets.
Appendix D: Mean, Median, and Mode.
Appendix E: The Metric System and Conversions.
Appendix F: Review of Exponents, Polynomials, and Factoring.
Appendix G: Synthetic Division.
Appendix H: Determinants and Cramer's Rule.
Answers to Selected Exercises.
Videotape and CD Index.