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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.
Study Skills: Using Your Math Textbook
1. Review of the Real Number System
1.1 Basic Concepts
1.2 Operations on Real Numbers
1.3 Exponents, Roots, and Order of Operations
1.4 Properties of Real Numbers
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Test
Study Skills: Reading Your Math Textbook
2. Linear Equations, Inequalities, and Applications
2.1 Linear Equations in One Variable
Study Skills: Tackling Your Homework
2.2 Formulas and Percents
2.3 Applications of Linear Equations
Study Skills: Taking Lecture Notes
2.4 Further Applications of Linear Equations
Summary Exercises on Solving Applied Problems
2.5 Linear Inequalities in One Variable
Study Skills: Using Study Cards
2.6 Set Operations and Compound Inequalities
Study Skills: Using Study Cards Revisited
2.7 Absolute Value Equations and Inequalities
Study Skills: Reviewing a Chapter
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Test
Chapters 1-2 Cumulative Review Exercises
3. Graphs, Linear Equations, and Functions
3.1 The Rectangular Coordinate System
Study Skills: Managing Your Time
3.2 The Slope of a Line
3.3 Linear Equations in Two Variables
Summary Exercises on Slopes and Equations of Lines
3.4 Linear Inequalities in Two Variables
3.5 Introduction to Relations and Functions
3.6 Function Notation and Linear Functions
Study Skills: Taking Math Tests
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Test
Chapters 1-3 Cumulative Review Exercises
4. Systems of Linear Equations
4.1 Systems of Linear Equations in Two Variables
Study Skills: Analyzing Your Test Results
4.2 Systems of Linear Equations in Three Variables
4.3 Applications of Systems of Linear Equations
4.4 Solving Systems of Linear Equations by Matrix Methods
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Test
Chapters 1-4 Cumulative Review Exercises
5. Exponents, Polynomials, and Polynomial Functions
5.1 Integer Exponents and Scientific Notation
5.2 Adding and Subtracting Polynomials
5.3 Polynomial Functions, Graphs, and Composition
5.4 Multiplying Polynomials
5.5 Dividing Polynomials
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Test
Chapters 1-5 Cumulative Review Exercises
6. Factoring
6.1 Greatest Common Factors and Factoring by Grouping
6.2 Factoring Trinomials
6.3 Special Factoring
6.4 A General Approach to Factoring
6.5 Solving Equations by Factoring
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Test
Chapters 1-6 Cumulative Review Exercises
7. Rational Expressions and Functions
7.1 Rational Expressions and Functions; Multiplying and Dividing
7.2 Adding and Subtracting Rational Expressions
7.3 Complex Fractions
7.4 Equations with Rational Expressions and Graphs
Summary Exercises on Rational Expressions and Equations
7.5 Applications of Rational Expressions
7.6 Variation
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Test
Chapters 1-7 Cumulative Review Exercises
8. Roots, Radicals, and Root Functions
8.1 Radical Expressions and Graphs
8.2 Rational Exponents
8.3 Simplifying Radical Expressions
8.4 Adding and Subtracting Radical Expressions
8.5 Multiplying and Dividing Radical Expressions
Summary Exercises on Operations with Radicals and Rational Exponents
8.6 Solving Equations with Radicals
8.7 Complex Numbers
Study Skills: Preparing for Your Math Final Exam
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Test
Chapters 1-8 Cumulative Review Exercises
9. Quadratic Equations, Inequalities, and Functions
9.1 The Square Root Property and Completing the Square
9.2 The Quadratic Formula
9.3 Equations Quadratic in Form
Summary Exercises on Solving Quadratic Equations
9.4 Formulas and Further Applications
9.5 Graphs of Quadratic Functions
9.6 More about Parabolas and Their Applications
9.7 Polynomial and Rational Inequalities
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Test
Chapters 1-9 Cumulative Review Exercises
10. Inverse, Exponential, and Logarithmic Functions
10.1 Inverse Functions
10.2 Exponential Functions
10.3 Logarithmic Functions
10.4 Properties of Logarithms
10.5 Common and Natural Logarithms
10.6 Exponential and Logarithmic Equations; Further Applications
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Test
Chapters 1-10 Cumulative Review Exercises
11. Nonlinear Functions, Conic Sections, and Nonlinear Systems
11.1 Additional Graphs of Functions
11.2 The Circle and the Ellipse
11.3 The Hyperbola and Functions Defined by Radicals
11.4 Nonlinear Systems of Equations
11.5 Second-Degree Inequalities and Systems of Inequalities
Chapter 11 Summary
Chapter 11 Review Exercises
Chapter 11 Test
Chapters 1-11 Cumulative Review Exercises
12. Sequences and Series
12.1 Sequences and Series
12.2 Arithmetic Sequences
12.3 Geometric Sequences
12.4 The Binomial Theorem
Chapter 12 Summary
Chapter 12 Review Exercises
Chapter 12 Test
Chapter 1-12 Cumulative Review Exercises
Appendix A: Determinants and Cramer's Rule
Appendix B: Synthetic Division