Beginning Algebra: International Edition
Autor Margaret L. Lial, John Hornsby, Terry McGinnisen Limba Engleză Paperback – 6 aug 2009
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Specificații
ISBN-13: 9780321683519
ISBN-10: 032168351X
Pagini: 720
Dimensiuni: 216 x 254 mm
Greutate: 1.42 kg
Ediția:10Nouă
Editura: Pearson Education
Colecția Pearson Education
Locul publicării:Upper Saddle River, United States
ISBN-10: 032168351X
Pagini: 720
Dimensiuni: 216 x 254 mm
Greutate: 1.42 kg
Ediția:10Nouă
Editura: Pearson Education
Colecția Pearson Education
Locul publicării:Upper Saddle River, United States
Cuprins
Note: each chapter concludes with a Group Activity, Chapter Summary, Chapter Review Exercises, Chapter Test, and after Chapter 1, a set of Cumulative Review Exercises.
Chapter 1: The Real Number System
1.1 Fractions
1.2 Exponents, Order of Operations, and
Inequality
1.3 Variables, Expressions, and Equations
1.4 Real Numbers and the Number Line
1.5 Adding and Subtracting Real Numbers
1.6 Multiplying and Dividing Real Numbers
Summary Exercises on Operations with Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
Chapter 2: Linear Equations and Inequalities in One Variable
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 More on Solving Linear Equations
Summary Exercises on Solving Linear Equations
2.4 An Introduction to Applications of Linear Equations
2.5 Formulas and Applications from Geometry
2.6 Ratios and Proportions
2.7 Further Applications of Linear Equations
2.8 Solving Linear Inequalities
Chapter 3: Linear Equations and Inequalities in Two Variables; Functions
3.1 Reading Graphs; Linear Equations in Two Variables
3.2 Graphing Linear Equations in Two Variables
3.3 The Slope of a Line
3.4 Equations of a Line
Summary Exercises on Linear Equations and Graphs
3.5 Graphing Linear Inequalities in Two Variables
3.6 Introduction to Functions
Chapter 4: Systems of Linear Equations and Inequalities
4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by Substitution
4.3 Solving Systems of Linear Equations by Elimination
Summary Exercises on Solving Systems of Linear Equations
4.4 Applications of Linear Systems
4.5 Solving Systems of Linear Inequalities
Chapter 5: Exponents and Polynomials
5.1 The Product Rule and Power Rules for Exponents
5.2 Integer Exponents and the Quotient Rule
Summary Exercises on the Rules for Exponents
5.3 An Application of Exponents: Scientific Notation
5.4 Adding and Subtracting Polynomials; Graphing Simple Polynomials
5.5 Multiplying Polynomials
5.6 Special Products
5.7 Dividing Polynomials
Chapter 6: Factoring and Applications
6.1 The Greatest Common Factor; Factoring by Grouping
6.2 Factoring Trinomials
6.3 More on Factoring Trinomials
6.4 Special Factoring Techniques
Summary Exercises on Factoring
6.5 Solving Quadratic Equations by Factoring
6.6 Applications of Quadratic Equations
Chapter 7: Rational Expressions and Applications
7.1 The Fundamental Property of Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Least Common Denominators
7.4 Adding and Subtracting Rational Expressions
7.5 Complex Fractions
7.6 Solving Equations with Rational Expressions
Summary Exercises on Rational Expressions and Equations
7.7 Applications of Rational Expressions
7.8 Variation
Chapter 8: Roots and Radicals
8.1 Evaluating Roots
8.2 Multiplying, Dividing, and Simplifying Radicals
8.3 Adding and Subtracting Radicals
8.4 Rationalizing the Denominator
8.5 More Simplifying and Operations with Radicals
Summary Exercises on Operations with Radicals
8.6 Solving Equations with Radicals
8.7 Using Rational Numbers as Exponents
Chapter 9: Quadratic Equations
9.1 Solving Quadratic Equations by the Square Root Property
9.2 Solving Quadratic Equations by Completing the Square
9.3 Solving Quadratic Equations by the Quadratic Formula
Summary Exercises on Quadratic Equations
9.4 Complex Numbers
9.5 More on Graphing Quadratic Equations; Quadratic Functions
Appendixes
A. An Introduction to Calculators
B. Review of Decimals and Percents
C. Sets
D. Mean, Median, and Mode
E. Solving Quadratic Inequalities
Chapter 1: The Real Number System
1.1 Fractions
1.2 Exponents, Order of Operations, and
Inequality
1.3 Variables, Expressions, and Equations
1.4 Real Numbers and the Number Line
1.5 Adding and Subtracting Real Numbers
1.6 Multiplying and Dividing Real Numbers
Summary Exercises on Operations with Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
Chapter 2: Linear Equations and Inequalities in One Variable
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 More on Solving Linear Equations
Summary Exercises on Solving Linear Equations
2.4 An Introduction to Applications of Linear Equations
2.5 Formulas and Applications from Geometry
2.6 Ratios and Proportions
2.7 Further Applications of Linear Equations
2.8 Solving Linear Inequalities
Chapter 3: Linear Equations and Inequalities in Two Variables; Functions
3.1 Reading Graphs; Linear Equations in Two Variables
3.2 Graphing Linear Equations in Two Variables
3.3 The Slope of a Line
3.4 Equations of a Line
Summary Exercises on Linear Equations and Graphs
3.5 Graphing Linear Inequalities in Two Variables
3.6 Introduction to Functions
Chapter 4: Systems of Linear Equations and Inequalities
4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by Substitution
4.3 Solving Systems of Linear Equations by Elimination
Summary Exercises on Solving Systems of Linear Equations
4.4 Applications of Linear Systems
4.5 Solving Systems of Linear Inequalities
Chapter 5: Exponents and Polynomials
5.1 The Product Rule and Power Rules for Exponents
5.2 Integer Exponents and the Quotient Rule
Summary Exercises on the Rules for Exponents
5.3 An Application of Exponents: Scientific Notation
5.4 Adding and Subtracting Polynomials; Graphing Simple Polynomials
5.5 Multiplying Polynomials
5.6 Special Products
5.7 Dividing Polynomials
Chapter 6: Factoring and Applications
6.1 The Greatest Common Factor; Factoring by Grouping
6.2 Factoring Trinomials
6.3 More on Factoring Trinomials
6.4 Special Factoring Techniques
Summary Exercises on Factoring
6.5 Solving Quadratic Equations by Factoring
6.6 Applications of Quadratic Equations
Chapter 7: Rational Expressions and Applications
7.1 The Fundamental Property of Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Least Common Denominators
7.4 Adding and Subtracting Rational Expressions
7.5 Complex Fractions
7.6 Solving Equations with Rational Expressions
Summary Exercises on Rational Expressions and Equations
7.7 Applications of Rational Expressions
7.8 Variation
Chapter 8: Roots and Radicals
8.1 Evaluating Roots
8.2 Multiplying, Dividing, and Simplifying Radicals
8.3 Adding and Subtracting Radicals
8.4 Rationalizing the Denominator
8.5 More Simplifying and Operations with Radicals
Summary Exercises on Operations with Radicals
8.6 Solving Equations with Radicals
8.7 Using Rational Numbers as Exponents
Chapter 9: Quadratic Equations
9.1 Solving Quadratic Equations by the Square Root Property
9.2 Solving Quadratic Equations by Completing the Square
9.3 Solving Quadratic Equations by the Quadratic Formula
Summary Exercises on Quadratic Equations
9.4 Complex Numbers
9.5 More on Graphing Quadratic Equations; Quadratic Functions
Appendixes
A. An Introduction to Calculators
B. Review of Decimals and Percents
C. Sets
D. Mean, Median, and Mode
E. Solving Quadratic Inequalities
Caracteristici
- Thousands of exercises of many types are available throughout the text.
- Lial’s extensive end-of-section exercises offer students many ways to practice and master the material they have just learned. NEW: Students can watch an instructor work through the complete solutions for exercises correlated to examples in the text on the Video Lectures on CD or DVD with Solution Clips. All exercises with a full solution available are marked with a CD icon in the end-of-section exercise sets.
- Relating Concepts exercises tie together topics and highlight the relationships among various concepts and skills.
- Group Activities at the end of each chapter allow students to work collaboratively to solve a problem related to the chapter material.
- Summary Exercises are included where needed to provide students with the all-important mixed review problems they need to master difficult topics. Summaries of solution methods or additional examples are often included.
- Technology Insights exercises illustrate the power of graphing calculators and provide an opportunity for students to interpret typical results seen on graphing calculator screens (Note: a graphing calculator is NOT required to complete these exercises).
- The chapter summary material provides students with ample opportunity for review. At the end of each chapter, students will find the following resources:
- Key Terms and Symbols are keyed back to the appropriate section for easy reference and study.
- Test Your Word Power helps students understand and master mathematical vocabulary. Key terms from the chapter are presented with four possible definitions in a multiple-choice format.
- Quick Review sectionsgive students not only the main concepts from the chapter (referenced back to the appropriate section), but also an example of each concept.
- Review Exercises are keyed to the appropriate sections so that students can refer to examples of that type of problem if they need help.
- Mixed Review Exercises require students to solve problems without the help of section references.
- Chapter Tests help students practice for the real thing.
- Cumulative Review Exercises gather various types of exercises from preceding chapters to help students retain what they are learning throughout the course.
- NEW: The Pass the Test CD in the back of the text offers interactive versions of the “Key Terms” and “Test Your Word Power” from each chapter. Students can also watch summary lectures for each concept from the “Quick Review” and video footage of an instructor working through the complete solution for every exercise from the chapter tests.
- Lial’s student-friendly examples have been further enhanced in this revision with new pointers from the authors that warn students about common pitfalls. Each example will still conclude by asking students to “Now Try” one or more parallel exercises from the corresponding exercise set so that students can immediately reinforce the concepts and skills presented in the examples. NEW: Students can now watch an instructor working through the solution to one “Now Try” exercise for every example in the text on the new Video Lectures on CD or DVD with Solution Clips.
- 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.
- Helpful text features keep students motivated and interested in the reading:
- A comprehensive glossary of key terms from throughout the text is included at the back of the book.
- Real-world applications found throughout the text have been updated to keep students motivated.
- Learning objectives are reinforced throughout each section as the objective is relisted where appropriate so that students always know exactly what is being covered.
- Note boxes appear throughout the text to emphasize important ideas to the reader.
- Caution boxes warn students about common errors.
- Connections boxes provide thought-provoking questions for writing or class discussion through connections to other mathematical concepts, real-world examples, or historical background.
- Problem Solving Hints boxes provide students with problem-solving tips and strategies.
- Classroom Examples andTeaching Tips are located in the margins of the Annotated Instructor’s Edition. They give instructors examples to use in class that differ from those in the student text and offer guidance on presenting the material at hand.
- TheAnnotated Instructor's Edition provides instructors with answers to all exercises, now in an easy-to-read single-column format whenever possible.
Caracteristici noi
Content Changes:
- Applications and Exercises have been updated. The authors have added many new real-data applications and new exercises, including many that focus on skill development.
- Chapter 3 includes a new set of summary exercises on linear equations and graphs. All chapters now include a set of these mixed-review problems.
- The presentation of the following topics has been expanded:
- Review of fractions (Section 1.1)
- Applications from geometry (Section 2.5 and 5.1)
- Graphing linear equations in two variables (Section 3.2)
- Slope (Section 3.3)
- Slope-intercept form of the equation of a line (Section 3.4)
- Scientific notation and applications (Section 5.3)
- Pass the Test: Chapter Test Solutions on Video with Interactive Chapter Summaries on CD, included with each new copy of the student text, offers the following tools for each chapter:
- Interactive “Key Terms” with definitions
- Interactive “Test Your Word Power” vocabulary exercises
- Summary lectures for each key concept from the “Quick Review” for each chapter
- Video footage of an instructor working through the complete solutions for all chapter test problems
- Preview Exercises at the end of each section exercise set help students transition from one section to the next.
- “Tab Your Way to Success” Guide provides students with color-coded Post-It® tabs to mark important pages of the text that they may need to return to for review work, test preparation, instructor help, etc.
- Pointers from the authors in the examples provide on-the-spot reminders and warnings about common pitfalls, making examples even more student-friendly.
- Several types of exercises have been highlighted by the authors throughout the exercise sets:
- Concept Check exercises that facilitate mathematical thinking and conceptual understanding
- Brain Busters that will challenge students
- What Went Wrong? exercises that will ask students to identify typical errors in solutions and then work the problems correctly
- Hand-drawn graphs introduce new types of graphs to students in an approachable way.
- The Annotated Instructor's Edition provides instructors with answers to all exercises, now in an easy-to-read single column format whenever possible.
- In addition to offering students a full lecture on each section of the text, the new Video Lectures on CD or DVD with Solution Clips will now give students the option to watch an instructor working through the complete solution to exercises that have been correlated to all examples in the text (one exercise solution per example). English and Spanish captions are available for the lecture portion of the CD product.
- Several new features have been added to the Lial MyMathLab™ course:
- Interactive “Key Terms” with definitions for each chapter
- Interactive “Test Your Word Power” for each chapter
- Summary lectures for each key concept from the “Quick Review” for each chapter
- Video footage of an instructor working through the complete solutions for all chapter test problems
- Interactive “Build the Equation” activities for select word problems
- A Spanish Glossary that contains Spanish translations of common mathematical terms
- PowerPoint®Lecture Slides include full solutions for the classroom examples from the Annotated Instructor’s Edition and present key concepts and definitions from the text.
- Active Learning Lecture Slides, available in PowerPoint®, can be used with classroom response systems. Multiple-choice questions are available for each section of the text, allowing instructors to quickly assess mastery of the material in class.
- Online Lesson Plans are available for each section of the text, along with worksheets that cover additional topics.
- In addition to a full bank of questions for each chapter, the TestGen® testbank will now feature a pre-made test for each chapter that has been matched problem-by-problem to the chapter tests from the text. This new feature allows instructors to easily create tests similar to those in the book for extra practice or assessment purposes.