Summary: The Lial series has helped thousands of students succeed in developmental mathematics through its friendly writing style, numerous realistic examples, extensive problem sets, and complete supplements package. In keeping with its proven track record, this revision includes a new open design, more exercises and applications, and additional features to help both students and instructors succeed.
Learning Objectives Each section opens with an application and clearly stated, numbered, learning objectives. These learning objectives are reinforced throughout the section by re-listing the objective where appropriate so that students always know exactly what is being covered.
Classroom Examples and Teaching Tips The Annotated Instructor's Edition provides answers to all text exercises and Group Activities in color in the margin or next to the corresponding exercises. In addition, Classroom Examples and Teaching Tips are also included to assist instructors in coming up with examples to use in class that are different from what students have in their textbooks, and offering guidance on presenting the material at hand.
Notes Important ideas are emphasized in Notes boxes that appear throughout the text. Calling them out stresses their importance to students.
Connections Connections boxes provide connections to the real world or to other mathematical concepts, historical background, and thought-provoking questions for writing or class discussion.
Problem Solving The Lial six-step problem-solving method is clearly explained in Chapter 2 and is then continually reinforced in examples and exercises throughout the text to aid students in solving application problems.
Cautions Students are warned of common errors through the use of Cautions that are found throughout the text where appropriate.
Technology Insights Exercises Technology Insights Exercises are found in selected exercise sets throughout the text. These exercises illustrate the power of graphing calculators and provide an opportunity for students to interpret typical results seen on graphing calculator screens (graphing calculator NOT required to complete these exercises).
Ample and Varied Exercise Sets Algebra students require a large number and variety of practice exercises to master the material they have just learned. This text contains over 7700 exercises, including over 2100 review exercises, plus numerous conceptual and writing exercises, journal exercises, and challenging exercises that go beyond the examples. Multiple-choice, matching, true/false, and completion exercises help to provide variety. Exercises suitable for calculator use are marked with a calculator icon.
Writing Exercises Writing exercises abound in the Lial series through the Connections boxes and also in the exercise sets. Some writing exercises require only short written answers, and others require lengthier journal type exercises that ask students to fully explain terminology, procedures, and methods, document their understanding using examples, or make connections between topics.
Relating Concepts Found at the end of selected exercise sets, these exercises tie together topics and highlight the relationships among various concepts and skills. For example, they may show how algebra and geometry are related, or how a graph of a linear equation in two variables is related to the solution of the corresponding linear equation in one variable. These sets of exercises make great collaborative activities for small groups of students.
Group Activities Appearing at the end of each chapter, these activities allow students to work collaboratively to solve a problem related to the chapter material.
Ample Opportunity for Review One of the most admired features of Lial textbooks is the extensive and well-thought-out end-of-chapter material. At the end of each chapter, students will find Key Terms and Symbols that are keyed back to the appropriate section for easy reference and study, and Test Your Word Power to help students understand and master mathematical vocabulary. Key terms from the chapter are presented with four possible definitions in multiple-choice format, Quick Review sections to give students not only the main concepts from the chapter (referenced back to the appropriate section), but also an adjacent example of each concept, Review Exercises keyed to the appropriate sections so that students can refer to examples of that type of problems if they need help, Mixed Review Exercises that require students to solve problems without the help of section references, Chapter Test to help students practice for the real thing, and Cumulative Review Exercises that gather various types of exercises from preceding chapters to help students remember and retain what they are learning throughout the course. New To This Edition :
Former Section 2.1 on the Addition and Multiplication Properties of Equality has been split into two sections to allow each property to be treated individually before combining their use in Section 2.3.
All topics on graphing linear equations and inequalities in two variables are now treated in Chapter 3.
Systems of linear equations and inequalities, presented earlier than in the previous edition, are covered in Chapter 4.
Chapter 5 on exponents and polynomials has been reorganized so that the sections on exponents are covered early in the chapter.
Variation is covered in a new Section 7.8.
Three new appendixes have been included. Appendix A provides an introduction to calculators, Appendix D includes all new material on mean, median, and mode, and Appendix E covers quadratic inequalities, formerly included in the chapter on factoring.
Adjunct Support Center The Adjunct Support Center offers consultation on suggested syllabi, helpful tips on using the textbook support package, assistance with textbook content, and advice on classroom strategies from qualified mathematics instructors with over 50 years combined experience.
Now Try It Exercises To actively engage students in the learning process, each example now concludes with a reference to one or more parallel exercises from the corresponding exercise set so that students are able to immediately apply and reinforce the concepts and skills presented in the examples.
Summary Exercises Based on user feedback, we have more than doubled the number of in-chapter summary exercises. These special exercise sets provide students with the all-important mixed review problems they need to master topics. Summaries of solution methods or additional examples are often included. Topics that appear in these Summary Exercises include Solving Linear Equations, Rules for Exponents, and Factoring.
Glossary By popular demand, a comprehensive glossary of key terms from throughout the text is included at the back of the book.
New Real-Life Applications Many new or updated examples and exercises can be found throughout the text that focus on real-life applications of mathematics. These applied problems provide a modern flavor that will appeal to and motivate students.
New Figures and Photos Today's students are more visually oriented than ever. Thus, the authors have made a concerted effort to add mathematical figures, diagrams, tables, and graphs whenever possible. Many of the graphs use a style similar to that seen by students in today's print and electronic media. Photos have been incorporated to enhance applications in examples and exercises.
Edition/Copyright:9TH 04 Cover: Hardback Publisher:Addison-Wesley Longman, Inc. Year Published: 2004 International: No
View Author Bio
Lial, Margaret L. : American River College
Hornsby, John : University of New Orleans
McGinnis, Terry :
View Table of Contents
(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. The Real Number System.
Fractions. 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. Simplifying Expressions.
2. Linear Equations and Inequalities in One Variable.
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 and Inequalities in Two Variables; Functions.
Reading Graphs; Linear Equations in Two Variables. Graphing Linear Equations in Two Variables. The Slope of a Line. Equations of a Line. Graphing Linear Inequalities in Two Variables. Introduction to Functions.
4. Systems of Linear Equations and Inequalities.
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. Applications of Linear Systems. Solving Systems of Linear Inequalities.
5. 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. Multiplying Polynomials. Special Products. Dividing Polynomials.
6. Factoring and Applications.
The Greatest Common Factor; Factoring by Grouping. Factoring Trinomials. More on Factoring Trinomials. Special Factoring Rules. Summary Exercises on Factoring. Solving Quadratic Equations by Factoring. Applications of Quadratic Equations.
7. Rational Expressions and Applications.
The Fundamental Property of Rational Expressions. Multiplying and Dividing Rational Expressions. Least Common Denominators. Adding and Subtracting Rational Expressions. Complex Fractions. Solving Equations with Rational Expressions. Summary Exercises on Operations and Equations with Rational Expressions. Applications of Rational Expressions. Variation.
8. Roots and Radicals.
Evaluating Roots. Multiplying, Dividing, and Simplifying Radicals. Adding and Subtracting Radicals. Rationalizing the Denominator. More Simplifying and Operations with Radical. Summary Exercises on Operations with Radicals. Solving Equations with Radicals. Using Rational Numbers as Exponents.
9. Quadratic Equations.
Solving Quadratic Equations by the Square Root Property. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by the Quadratic Formula. Summary Exercises on Quadratic Equations. Complex Numbers. More on Graphing Quadratic Equations; Quadratic Functions.
Appendix A: An Introduction to Calculators. Appendix B: Review of Decimals and Percents. Appendix C: Sets. Appendix D: Mean, Median, and Mode. Appendix E: Solving Quadratic Inequalities. Answers to Selected Exercises. Glossary. Index. Videotape and CD Index.
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