Algebra:A Combined Approach - Elayn Martin-Gay - 9780321726391 - Pearson - Pearson Schweiz AG - Der Fachverlag fuer Bildungsmedien - 978-0-3217-2639-1

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Algebra:A Combined Approach

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Titel:   Algebra:A Combined Approach
Reihe:   Pearson
Autor:   Elayn Martin-Gay
Verlag:   Pearson
Einband:   Softcover
Auflage:   1
Sprache:   Englisch
Seiten:   1152
Erschienen:   November 2011
ISBN13:   9780321726391
ISBN10:   0-321-72639-1
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Algebra:A Combined Approach

Description

Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. Algebra: A Combined Approach, Fourth Edition was written to provide students with a solid foundation in algebra and help them effectively transition to their next mathematics course. The new edition offers new resources like the Student Organizer and now includes Student Resources in the back of the book to help students on their quest for success.


Features

  • Martin-Gay's emphasis on Study Skills ensures that students make the most of their valuable study time in order to help them succeed in this course.
    • Study Skills Builders give students tips and suggestions on making the most out of their valuable time, and cover all aspects of the learning process, from class notes to homework. Assignable exercises ensure that students are reading and retaining the information, and are now organized by topic in the Student Resources section in the back of the text.
    • Section 1.1, Tips for Success in Mathematics, provides students with an overview of how to be successful in a mathematics course. This section has been revised to include helpful hints specific to doing homework online with MyMathLab® and MathXL®.
  • NEW! Student Resources, located in the back of the text, gives students a variety of tools that are conveniently located in one place to help them achieve success in math.
    • Study Skills Builders give students tips and suggestions on making the most out of their valuable time, and cover all aspects of the learning process, from class notes to homework.
    • The Bigger Picture-Study Guide Outline covers key concepts of the course- operations on sets of numbers and solving equations-to help students transition from thinking section-by-section to thinking about how the material they are learning fits into mathematics as a whole. This outline provides a model for students on how to organize and develop their own study guide.
    • The Practice Final Exam helps students prepare for the end-of-the-course exam. Students can also watch Elayn Martin-Gay work through the step-by-step solutions to all the Practice Final Exam exercises on the new Interactive DVD Lecture Series and in MyMathLab.
    • Answers to Selected Exercises allow students to check their answers for all odd-numbered section exercises.  
  • Martin-Gay's video program provides students with active learning at their own pace. All of the videos are presented by Elayn Martin-Gay to ensure 100% consistency with the text, and are available with optional subtitles in both English and Spanish. The newInteractive DVD Lecture Series offers a new, easy-to-use navigation menu that helps students quickly find and focus on the examples and exercises that they need. Students will find the following resources on the DVD and in MyMathLab:
    • A complete lecture for each section of the text highlights key examples and exercises from the text. New “pop-ups” reinforce key terms, definitions, and concepts while Martin-Gay presents the material.
    • Interactive Concept Check exercises measure students' understanding of key concepts and common trouble spots. After a student selects an answer from several multiple choice options, Martin-Gay explains why the answer was correct or incorrect.
    • Study Skill Builder videos reinforce the study skills-related skills and concepts found in Section 1.1, Tips for Success in Mathematics, and in the Study Skills Builder exercises found in the Student Resources section of the text.
    • Complete solutions on video for all exercises from the Practice Final Exam (located in the Student Resources section of the text) help students prepare for the real thing.
    • Chapter Test Prep Videos that help students during their most teachable moment-when they are preparing for a test. This Martin-Gay innovation provides step-by-step solutions for the exercises found in each Chapter Test. These videos are also available on YouTube™ and in MyMathLab.
  • NEW! The Student Organizer is designed to help students develop the study habits they need to be successful. This Organizer guides students through the three main components of studying effectively-note-taking, practice, and homework-and helps them develop the habits that will enable them to succeed in future courses. The Student Organizer can be packaged with the text in loose-leaf, notebook-ready format and is also available for download in MyMathLab.
  • Martin-Gay's well-crafted exercise sets have been carefully updated with this revision. Several special types of exercises throughout the text give students the practice they need.
    • NEW! Guided application exercises appear in many sections throughout the text, beginning with section 2.4. These applications prompt students on how to set up the problem and get started with the solution process. These guided exercises will help students prepare to solve application exercises on their own.
    • Mixed Practice exercises require students to determine the problem types and the strategies needed to solve them. In doing so, students need to think about the correct problem solving methodology, just as they would need to do on a test.
    • Concept Extension exercises require students to combine several skills and concepts to solve a problem.
  • End-of-Chapter material offers students a wealth of review- and retention-oriented material to reinforce the concepts presented in current and previous chapters.
    • Chapter Highlights contain key definitions and concepts with examples to help students understand and retain what they have learned, while also helping them to organize their notes and prepare for tests.
    • TheChapter Review offers exercises keyed to every section in the chapter, as well as Mixed Review exercises that combine objectives from various sections.
    • The Chapter Test includes exercises that expose common student errors. Students can watch Elayn Martin-Gay work through the step-by-step solutions to all Chapter Test exercises on the Chapter Test Prep Videos. These videos are available on the Interactive DVD Lecture Series, in MyMathLab, and on YouTube™.
    • Cumulative Review exercises follow every chapter in the text except for Chapter 1.
  • A variety of instructor support materials helps new or adjunct instructors make the most of their class preparation time.
    • Instructor-to-instructor videos offer tips, hints, and suggestions for engaging students and presenting key topics.
    • The Annotated Instructor's Edition provides helpful Teaching Tips at key points throughout the text. It also contains answers to all exercises printed on the same page.
    • Mini-Lectures in the Instructor's Resource Manual provide a complete outline for every section of the text.

 

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New to this Edition

New & Updated Features

  • Student Resources, located in the back of the text, gives students a variety of tools that are conveniently located in one place to help them achieve success in math.
    • Study Skills Builders give students tips and suggestions on making the most out of their valuable time, and cover all aspects of the learning process, from class notes to homework.
    • The Bigger Picture-Study Guide Outline covers key concepts of the course-simplifying expressions and solving equations and inequalities-to help students transition from thinking section-by-section to thinking about how the material they are learning fits into mathematics as a whole. This outline provides a model for students on how to organize and develop their own study guide.
    • The Practice Final Exam helps students prepare for the end-of-the-course exam. Students can also watch Elayn Martin-Gay work through the step-by-step solutions to all the Practice Final Exam exercises on the new Interactive DVD Lecture Series and in MyMathLab.
    • Answers to Selected Exercises allow students to check their answers for all odd-numbered section exercises. 
  • Guided application exercises appear in many sections throughout the text, beginning in section 2.4. These applications prompt students on how to set up the problem and get started with the solution process. These guided exercises will help students prepare to solve application exercises on their own.

New Student and Instructor Resources

  • The newInteractive DVD Lecture Series offers a new, easy-to-use navigation menu that helps students quickly find and focus on the examples and exercises that they need to review. Optional subtitles in English and Spanish are available. Students will find the following resources on the DVD and in MyMathLab:
    • A complete lecture for each section of the text highlights key examples and exercises from the text. New “pop-ups” reinforce key terms, definitions, and concepts while Elayn presents the material.
    • Interactive Concept Check exercises measure students' understanding of key concepts and common trouble spots. After a student selects an answer from several multiple choice options, Martin-Gay explains why the answer was correct or incorrect.
    • Study Skill Builder videos reinforce the study skills-related skills and concepts found in Section 1.1, Tips for Success in Mathematics, and in the Study Skills Builder exercises found in the Student Resources section of the text.
    • Complete solutions on video for all exercises from the Practice Final Exam (located in the Student Resources section of the text) help students prepare for the real thing.
    • The Chapter Test Prep Videos help students during their most teachable moment-when they are preparing for a test. This Martin-Gay innovation provides step-by-step solutions for the exercises found in each Chapter Test. These videos are also available on YouTube™ and in MyMathLab.
  • The Student Organizer is designed to help students develop the study habits they need to be successful. This Organizer guides students through the three main components of studying effectively-note-taking, practice, and homework-and helps them develop the habits that will enable them to succeed in future courses. The Student Organizer can be packaged with the text in loose-leaf, notebook-ready format and is also available for download in MyMathLab.
  • MyMathLab enhancements for Martin-Gay include the following:
    • Increased exercise coverage gives students more practice exercises than ever before.
    • PremadeHomework Assignments are available for each section of the text. In addition to the section-level premade assignments, the Martin-Gay MyMathLab courses will also include premade chapter review assignments for each chapter and a premade practice final exam.
    • Readiness check questions for each section check that students are reading and understanding the text.
    • The newGuided Application exercises are also available.
    • Translating Word Problems Animations help students practice the translation step of solving word problems.
    • An Interactive English/Spanish glossary offers definitions of important mathematical terms in both English and Spanish.
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Table of Contents

Chapter R: Prealgebra Review                        

R.1 Factors and the Least Common Multiple

R.2 Fractions                                        

R.3 Decimals and Percents                                

 

Chapter 1: Real Numbers and Introduction to Algebra                                              

1.1 Tips for Success in Mathematics               

1.2 Symbols and Sets of Numbers                    

1.3 Exponents, Order of Operations, and Variable Expressions                   

1.4 Adding Real Number                                

1.5 Subtracting Real Numbers                           

Integrated Review                                              

1.6 Multiplying and Dividing Real Numbers  

1.7 Properties of Real Numbers                         

1.8 Simplifying Expressions                                                                                               

 

Chapter 2: Equations, Inequalities, and Problem Solving                                          

2.1 The Addition Property of Equality            

2.2 The Multiplication Property of Equality   

2.3 Further Solving Linear Equations              

Integrated Review                                              

2.4 An Introduction to Problem Solving         

2.5 Formulas and Problem Solving                   

2.6 Percent and Mixture Problem Solving       

2.7 Linear Inequalities and Problem Solving                                                                                   

 

Chapter 3: Graphing Equations and Inequalities                                                         

3.1 Reading Graphs and The Rectangular Coordinate System                    

3.2 Graphing Linear Equations                          

3.3 Intercepts                                                       

3.4 Slope and Rate of Change                           

Integrated Review                                              

3.5 Equations of Lines                                        

3.6 Graphing Linear Inequalities in Two Variables                                                                        

 

Chapter 4: Systems of Equations                                                                                                    

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 Addition                                 

Integrated Review                                              

4.4 Systems of Linear Equations and Problem Solving                                 

 

Chapter 5: Exponents and Polynomials          

5.1 Exponents                                                      

5.2 Negative Exponents and Scientific Notation

5.3 Introduction to Polynomials                       

5.4 Adding and Subtracting Polynomials       

5.5 Multiplying Polynomials                             

5.6 Special Products                                           

Integrated Review                                              

5.7 Dividing Polynomials

 

Chapter 6: Factoring Polynomials  

6.1 The Greatest Common Factor                     

6.2 Factoring Trinomials of the Form x2 + bx + c

6.3 Factoring Trinomials of the Form ax2 + bx + c

6.4 Factoring Trinomials of the Form ax2 + bx + c  by coupling

6.5 Factoring by Special Products                    

Integrated Review                                              

6.6 Solving Quadratic Equations by Factoring

6.7 Quadratic Equations and Problem Solving

 

 Chapter 7: Rational Expressions                    

7.1 Simplifying Rational Expressions               

7.2 Multiplying and Dividing Rational Expressions                                      

7.3 Adding and Subtracting Rational Expressions with the Same

Denominator and Least Common Denominator

7.4 Adding and Subtracting Rational Expressions with Different Denominators

7.5 Solving Equations Containing Rational Expressions                                              

Integrated Review                                              

7.6 Proportions and Problem Solving with Rational Equations                   

7.7 Simplifying Complex Fractions                                                                                   

 

Chapter 8: Graphs and Functions   

8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines     

8.2 Introduction to Functions                           

8.3 Polynomial and Rational Functions

Integrated Review                                              

8.4     Interval Notation, Finding Domains and Ranges from

Graphs and Graphing Piecewise-Defined Functions                                     

8.5 Shifting and Reflecting Graphs of Functions                           

 

Chapter 9: Systems of Equations and Inequalities and Variation

9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving

9.2 Solving Systems of Equations Using Matrices

Integrated Review

9.3 Systems of Linear Inequalities

Variation and Problem Solving

 

Chapter 10: Rational Exponents, Radicals, and Complex Numbers                         

10.1   Radical Expressions and Radical Functions

10.2   Rational Exponents                                    

10.3   Simplifying Radical Expressions              

10.4   Adding, Subtracting, and Multiplying Radical Expressions                               

10.5   Rationalizing Numerators and Denominators of Radical Expressions               

Integrated Review

10.6   Radical Equations and Problem Solving

10.7   Complex Numbers                                                                                                      

 

Chapter 11: Quadratic Equations and Functions

11.1   Solving Quadratic Equations by Completing the Square                    

11.2   Solving Quadratic Equations by Using the Quadratic Formula         

11.3   Solving Equations by Using Quadratic Methods  Integrated Review             

11.4   Nonlinear Inequalities in One Variable   

11.5   Quadratic Functions and Their Graphs  

11.6   Further Graphing of Quadratic Functions

 

Chapter 12: Exponential and Logarithmic Functions                                                 

12.1 The Algebra of Functions                         

12.2 Inverse Functions                                       

12.3 Exponential Functions                               

12.4 Exponential Growth and Decay Functions

12.5 Logarithmic Functions

Integrated Review                              

12.6 Properties of Logarithms                           

12.7 Common Logarithms, Natural Logarithms, and Change of Base         

12.8 Exponential and Logarithmic Equations and Problem Solving            

 

Chapter 13: Conic Sections                             

13.1 The Parabola and the Circle                      

13.2 The Ellipse and the Hyperbola 

Integrated Review              

13.3 Solving Nonlinear Systems of Equations

13.4 Nonlinear Inequalities and Systems of Inequalities                                              

 

Appendices

A Transition Review: Exponents, Polynomials, and Factoring Strategies

B. Transition Review: Solving Linear and Quadratic Equations

C.  Sets and Compound Inequalities

D.  Absolute Value Equations and Inequalities

E. Determinants and Cramer's Rule

F. Review of Angles, Lines, and Special Triangles

G.  Stretching and Compressing Graphs of Absolute Value Functions

H. An Introduction to Using a Graphing Utility

 

Student Resources
Study Skills Builders

Bigger Picture Study Guide Outline

Practice Final Exam

Answers to Selected Exercises


 

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Author

Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association’s Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.

 

Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most “teachable moment”—as they prepare for a test—along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, beginning algebra, and intermediate algebra.

 

Elayn is the author of 12 published textbooks and numerous multimedia interactive products, all specializing in developmental mathematics courses. She has participated as an author across a broad range of educational materials: textbooks, videos, tutorial software, and courseware. This offers an opportunity for multiple combinations for an integrated teaching and learning package, offering great consistency for the student.
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