Intermediate Algebra

Marge Lial 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 now 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. John Hornsby 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 ten years of writing mathematics textbooks, both of his goals have been realized. His love for 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. Terry McGinnis - A native Midwesterner, Terry received her Bachelor¿s of Science in Elementary Education (Mathematics concentration) 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 15 years, working with a variety of authors on textbooks in developmental and precalculus mathematics. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for the past ten years, Terry most recently joined Margaret Lial and John Hornsby as co-author of their developmental mathematics series that includes Introductory Algebra, Intermediate Algebra, and Introductory and Intermediate Algebra, all published by Addison-Wesley. When not working, Terry enjoys spinning at a local health club and walking. She is a devoted parent of two sons, Andrew and Tyler.

(Note: 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.


Preface.


Feature Walkthrough.


1. Review of the Real Number System.


Basic Concepts.



Operations on Real Numbers.



Exponents, Roots, and Order of Operations.



Properties of Real Numbers.



2. Linear Equations, Inequalities, and Applications.


Linear Equations in One Variable.



Formulas.



Applications of Linear Equations.



Further Applications of Linear Equations.



Summary Exercises on Solving Applied Problems.



Linear Inequalities in One Variable.



Set Operations and Compound Inequalities.



Absolute Value Equations and Inequalities.



Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities.



3. Graphs, Linear Equations, and Functions.


The Rectangular Coordinate System.



The Slope of a Line.



Linear Equations in Two Variables.



Linear Inequalities in Two Variables.



Introduction to Functions.



Variation.



4. Systems of Linear Equations.


Systems of Linear Equations in Two Variables.



Systems of Linear Equations in Three Variables.



Applications of Systems of Linear Equations.



Solving Systems of Linear Equations by Matrix Methods.



5. Exponents, Polynomials, and Polynomial Functions.


Integer Exponents and Scientific Notation.



Adding and Subtracting Polynomials.



Polynomial Functions.



Multiplying Polynomials.



Dividing Polynomials.



6. Factoring.


Greatest Common Factors; Factoring by Grouping.



Factoring Trinomials.



Special Factoring.



A General Approach to Factoring.



Solving Equations by Factoring.



7. Rational Expressions and Functions.


Rational Expressions and Functions; Multiplying and Dividing.



Adding and Subtracting Rational Expressions.



Complex Fractions.



Equations with Rational Expressions and Graphs.



Summary Exercises on Operations and Equations with Rational Expressions.



Applications of Rational Expressions.



8. Roots, Radicals, and Root Functions.


Radical Expressions and Graphs.



Rational Exponents.



Simplifying Radical Expressions.



Adding and Subtracting Radical Expressions.



Multiplying and Dividing Radical Expressions.



Summary Exercises on Operations with Radicals.



Solving Equations with Radicals.



Complex Numbers.



9. Quadratic Equations, Inequalities, and Functions.


The Square Root Property and Completing the Square.



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.



10. Inverse, Exponential, and Logarithmic Functions.


Inverse Functions.



Exponential Functions.



Logarithmic Functions.



Properties of Logarithms.



Common and Natural Logarithms.



Exponential and Logarithmic Equations; Further Applications.



11. Nonlinear Functions, Conic Sections, and Nonlinear Systems.


Additional Graphs of Functions; Composition.



The Circle and the Ellipse.



The Hyperbola and Functions Defined by Radicals.



Nonlinear Systems of Equations.



Second-Degree Inequalities and Systems of Inequalities.



12. Sequences and Series.


Sequences and Series.



Arithmetic Sequences.



Geometric Sequences.



The Binomial Theorem.



Appendix A: An Introduction to Calculators.


Appendix B: Determinants and Cramer's Rule.


Appendix C: Synthetic Division.


Answers to Selected Exercises.


Glossary.


Index.


Videotape and CD Index.