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More About This Textbook
Overview
Product Details
Read an Excerpt
Introductory and Intermediate Algebra for College Students provides comprehensive, indepth coverage of the topics required in a course combining the study of introductory and intermediate algebra. The primary goals of the book are to help students acquire a solid foundation in introductory and intermediate algebra, without the repetition of topics in two separate texts, and to show how algebra can model and solve authentic realworld problems.
A source of frustration for me and my colleagues is that very few students read their textbook. When I ask students why they do not take full advantage of the text, their responses generally fall into two categories:
I thought about both of these objections in writing every page of this book.
"I can't follow the explanations." For many of my students, textbook explanations are too compressed. The chapters in Introductory and Intermediate Algebra for College Students have been written to make them extremely accessible. Every section contains a range of simple, intermediate, and challenging examples. Voice balloons allow for specific annotations in examples, further clarifying procedures and concepts.
"The applications are not interesting." One of the things I enjoy most about teaching in a large urban community college is the diversity of who my students are and what interests them. Realworld data that celebrate this variety are used to bring relevance to examples, discussions, and applications. I selected all uptodate realworld data to be interesting and intriguing tostudents. By connecting algebra to the whole spectrum of their interests, it is my intent to show students that their world is profoundly mathematical and, indeed, pi is in the sky.
Key Pedagogical Features
Introductory and Intermediate Algebra for College Students is part of a series of four texts that include Introductory Algebra for College Students, Third Edition, Intermediate Algebra for College Students, Third Edition, and Algebra for College Students, Fourth Edition. The following features are found throughout the series.
Supplements for the Instructor
Printed Resources
Annotated Instructor's Edition (013032843X)
Â• Answers to exercises on the same text page or in Graphing Answer Section.
Â• Graphing Answer Section contains answers to exercises requiring graphical solutions.
Instructor's Solutions Manual (0130343285)
Â• Stepbystep solutions for every evennumbered section exercise.
Â• Stepbystep solutions for every (even and odd) Check Point exercise, Chapter Review exercise, Chapter Test and Cumulative Review exercise.
Instructor's Resource Manual (0130343196)
Â• Notes to the Instructor
Â• Eight Chapter Tests per chapter (5 free response, 3 multiple choice)
Â• Eight Final Exams ( 4 free response, 4 multiple choice)
Â• Twenty additional exercises per section for added test exercises or worksheets.
Â• Answers to all items
Media Resources
TestGenEQ with QuizMasterEQ (CDROM for IBM and Macintosh 0130343242)
Â• Algorithmically driven, text specific testing program.
Â• Networkable for administering tests and capturing grades online.
Â• Edit or add your own questions to create a nearly unlimited number of tests and worksheets.
Â• Use the new "Function Plotter" to create graphs.
Â• Tests can be easily exported to HTML so they can be posted to the Web.
Computerized Tutorial Software Course Management System
MathPro Explorer 4.0
Â• Network version for IBM and Macintosh
Â• Enables instructors to create either customized or algorithmically generated practice quizzes from any section of a chapter.
Â• Includes an email function for networked users, enabling instructors toy send a message to a specific student or to an entire group.
Â• Network based reports and summaries for a class or student and for cumulative or selected scores are available.
MathPro 5
Â• Anytime. Anywhere.
Â• Online tutorial with enhanced class and student management features.
Â• Integration of TestGenEQ allows for testing to operate within the tutorial environment.
Â• Course management tracking of both tutorial and testing activity.
Online Options for Distance Learning
WebCT/Blackboard/CourseCompass
Â• Prentice Hall offers three different online interactivity and delivery options for a variety of distance learning needs. Instructors may access or adopt these in conjunction with this text.
Supplements for the Student
Printed Resource
Student Solutions Manual (0130343277)
Â• Stepbystep solutions for every oddnumbered section exercise.
Â• Stepbystep solutions for every (even and odd) Check Point exercise, Chapter Review exercise, Chapter Test and Cumulative Review exercise.
How to Study Mathematics
Â• Have your instructor contact the local Prentice Hall sales representative.
Math on the Internet: A Student's Guide
Â• Have your instructor contact the local Prentice Hall sales representative.
Media Resources
Computerized Tutorial Software
MathPro Explorer 4.0
Â• Keyed to each section of the text for textspecific tutorial exercises and instruction.
Â• Warmup exercises and graded Practice Problems.
Â• Video clips show a problem being explained and worked out on the board.
Â• Algorithmically generated exercises. Online help, glossary and summary of scores.
MathPro 5Anytime. Anywhere.
Â• Enhanced, Internetbased version of Prentice Hall's popular tutorial software.
Lecture Videos
Â• Keyed to each section of the text.
Digitized Lecture Videos on CD.
Â• Have your instructor contact the local Prentice Hall sales representative.
Prentice Hall Tutoring Center
Â• Provides oneonone tutorial assistance by phone, email, or fax.
Companion Website
Â• Offers Warmups, Real World Activities and Chapter Quizzes.
Â• Email results to your instructor.
Â• Destination links provide additional opportunities to explore other related sites.
Table of Contents
A Brief Guide to Getting the Most from This Book
Preface
To The Student
About the Author
Chapter 1: The Real Number System
1.1 Fractions
1.2 The Real Numbers
1.3 Ordered Pairs and Graphs
1.4 Basic Rules of Algebra
MidChapter Check Point
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
1.8 Exponents, Order of Operations, and Mathematical Models
Chapter 1 Group Project
Summary
Review Exercises
Chapter 1 Test
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 Solving Linear Equations
2.4 Formulas and Percents
MidChapter Check Point
2.5 An Introduction to Problem Solving
2.6 Problem Solving in Geometry
2.7 Solving Linear Inequalities
Chapter 2 Group Project
Summary
Cumulative Review Exercises (Chapters 1 2)
Chapter 2 Test
Chapter 3: Linear Equations in Two Variables
3.1 Graphing Equations in Two Variables
3.2 Graphing Linear Equations Using Intercepts
3.3 Slope
3.4 The SlopeIntercept Form of the Equations of a Line
MidChapter Check Point
3.5 The PointSlope Form of the Equation of a Line
Chapter 3 Group Project
Summary
Cumulative Review Exercises (Chapters 1 3)
Chapter 3 Test
Chapter 4: Systems of Linear Equations
4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by the Substitution Method
4.3 Solving Systems of Linear Equations by the Addition Method
MidChapter Check Point
4.4 Problem Solving Using Systems of Equations
4.5 Systems of Linear Equations in Three Variables
Chapter 4 Group Project
Summary
Cumulative Review Exercises (Chapters 1 4)
Chapter 4 Test
Chapter 5: Exponents and Polynomials
5.1 Adding and Subtracting Polynomials
5.2 Multiplying Polynomials
5.3 Special Products
5.4 Polynomials in Several Variables
MidChapter Check Point
5.5 Dividing Polynomials
5.6 Long Division of Polynomials; Synthetic Division
5.7 Negative Exponents and Scientific Notation
Chapter 5 Group Project
Summary
Cumulative Review Exercises (Chapters 1 5)
Chapter 5 Test
Chapter 6: Factoring Polynomials
6.1 The Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials Whose Leading Coefficient is One
6.3 Factoring Trinomials Whose Leading Coefficient Is Not One
MidChapter Check Point
6.4 Factoring Special Forms
6.5 A General Factoring Strategy
6.6 Solving Quadratic Equations by Factoring
Chapter 6 Group Project
Summary
Cumulative Review Exercises (Chapters 1 6)
Chapter 6 Test
Chapter 7: Rational Expressions
7.1 Radical Expressions and Their Simplification
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with the Same Denominators
7.4 Adding and Subtracting Rational Expressions with Different Denominators
MidChapter Check Point
7.5 Complex Rational Expressions
7.6 Solving Rational Equations
7.7 Applications Using Rational Equations and Proportions
7.8 Modeling Using Variation
Chapter 7 Group Project
Summary
Cumulative Review Exercises (Chapters 1 7)
Chapter 7 Test
MidTextbook Check Point
Chapter 8: Basics of Functions
8.1 Introduction to Functions
8.2 The Algebra of Functions
MidChapter Check Point
8.3 Composite and Inverse Functions
Chapter 8 Group Project
Summary
Cumulative Review Exercises (Chapters 1 8)
Chapter 8 Test
Chapter 9: Inequalities and Problem Solving
9.1 Interval Notation and Business Applications Using Linear Inequalities
9.2 Compound Inequalities
9.3 Equations and Inequalities Involving Absolute Value
MidChapter Check Point
9.4 Linear Inequalities in Two Variables
9.5 Linear Programming
Chapter 9 Group Project
Summary
Cumulative Review Exercises (Chapters 1 9)
Chapter 9 Test
Chapter 10: Radicals, Radical Functions, and Rational Exponents
10.1 Radical Expressions and Functions
10.2 Rational Expressions
10.3 Multiplying and Simplifying Radical Expressions
10.4 Adding, Subtracting, and Dividing Radical Expressions
MidChapter Check Point
10.5 Multiplying with More Than One Term and Rationalizing Denominators
10.6 Radical Equalities
10.7 Complex Numbers
Chapter 10 Group Project
Summary
Cumulative Review Exercises (Chapters 1 10)
Chapter 10 Test
Chapter 11: Quadratic Equations and Functions
11.1 The Square Root Property and Completing the Square
11.2 The Quadratic Formula
11.3 Quadratic Functions and Their Graphs
MidChapter Check Point
11.4 Equations Quadratic in Form
11.5 Polynomial and Rational Inequalities
Chapter 11 Group Project
Summary
Cumulative Review Exercises (Chapters 1 11)
Chapter 11 Test
Chapter 12: Exponential and Logarithmic Functions
12.1 Exponential Functions
12.2 Logarithmic Functions
12.3 Properties of Logarithms
MidChapter Check Point
12.4 Exponential and Logarithmic Equations
12.5 Exponential Growth and Decay; Modeling Data
Chapter 12 Group Project
Summary
Cumulative Review Exercises (Chapters 1 12)
Chapter 12 Test
Chapter 13: Conic Sections and Systems of Nonlinear Equations
13.1 The Circle
13.2 The Ellipse
13.3 The Hyperbola
MidChapter Check Point
13.4 The Parabola; Identifying Conic Sections
13.5 Systems of Nonlinear Equations in Two Variables
Chapter 13 Group Project
Summary
Cumulative Review Exercises (Chapters 1 13)
Chapter 13 Test
Chapter 14 Sequences, Induction, and Probability
14.1 Sequences and Summation Notation
14.2 Arithmetic Sequences
14.3 Geometric Sequences and Series
MidChapter Check Points
14.4 The Binomial Theorem
14.5 Counting Principles, Permutations, and Combinations
14.6 Probability
Chapter 14 Group Project
Summary
Cumulative Review Exercises (Chapters 1 14)
Chapter 14 Test
Appendices
A: Matrix Solutions to Systems of Linear Equations
B: Determinants and Cramerâ€™s Rule
C: Where Did That Come From? Selected Proofs
Answers to Selected Exercises
Graphing Answer Section
Applications Index
Subject Index
Photo Credits
Preface
Introductory and Intermediate Algebra for College Students provides comprehensive, indepth coverage of the topics required in a course combining the study of introductory and intermediate algebra. The primary goals of the book are to help students acquire a solid foundation in introductory and intermediate algebra, without the repetition of topics in two separate texts, and to show how algebra can model and solve authentic realworld problems.
A source of frustration for me and my colleagues is that very few students read their textbook. When I ask students why they do not take full advantage of the text, their responses generally fall into two categories:
I thought about both of these objections in writing every page of this book.
"I can't follow the explanations." For many of my students, textbook explanations are too compressed. The chapters in Introductory and Intermediate Algebra for College Students have been written to make them extremely accessible. Every section contains a range of simple, intermediate, and challenging examples. Voice balloons allow for specific annotations in examples, further clarifying procedures and concepts.
"The applications are not interesting." One of the things I enjoy most about teaching in a large urban community college is the diversity of who my students are and what interests them. Realworld data that celebrate this variety are used to bring relevance to examples, discussions, and applications. I selected all uptodate realworld data to be interesting and intriguing to students. Byconnecting algebra to the whole spectrum of their interests, it is my intent to show students that their world is profoundly mathematical and, indeed, pi is in the sky.
Key Pedagogical Features
Introductory and Intermediate Algebra for College Students is part of a series of four texts that include Introductory Algebra for College Students, Third Edition, Intermediate Algebra for College Students, Third Edition, and Algebra for College Students, Fourth Edition. The following features are found throughout the series.
Supplements for the Instructor
Printed Resources
Annotated Instructor's Edition (013032843X)
Â• Answers to exercises on the same text page or in Graphing Answer Section.
Â• Graphing Answer Section contains answers to exercises requiring graphical solutions.
Instructor's Solutions Manual (0130343285)
Â• Stepbystep solutions for every evennumbered section exercise.
Â• Stepbystep solutions for every (even and odd) Check Point exercise, Chapter Review exercise, Chapter Test and Cumulative Review exercise.
Instructor's Resource Manual (0130343196)
Â• Notes to the Instructor
Â• Eight Chapter Tests per chapter (5 free response, 3 multiple choice)
Â• Eight Final Exams ( 4 free response, 4 multiple choice)
Â• Twenty additional exercises per section for added test exercises or worksheets.
Â• Answers to all items
Media Resources
TestGenEQ with QuizMasterEQ (CDROM for IBM and Macintosh 0130343242)
Â• Algorithmically driven, text specific testing program.
Â• Networkable for administering tests and capturing grades online.
Â• Edit or add your own questions to create a nearly unlimited number of tests and worksheets.
Â• Use the new "Function Plotter" to create graphs.
Â• Tests can be easily exported to HTML so they can be posted to the Web.
Computerized Tutorial Software Course Management System
MathPro Explorer 4.0
Â• Network version for IBM and Macintosh
Â• Enables instructors to create either customized or algorithmically generated practice quizzes from any section of a chapter.
Â• Includes an email function for networked users, enabling instructors toy send a message to a specific student or to an entire group.
Â• Network based reports and summaries for a class or student and for cumulative or selected scores are available.
MathPro 5
Â• Anytime. Anywhere.
Â• Online tutorial with enhanced class and student management features.
Â• Integration of TestGenEQ allows for testing to operate within the tutorial environment.
Â• Course management tracking of both tutorial and testing activity.
Online Options for Distance Learning
WebCT/Blackboard/CourseCompass
Â• Prentice Hall offers three different online interactivity and delivery options for a variety of distance learning needs. Instructors may access or adopt these in conjunction with this text.
Supplements for the Student
Printed Resource
Student Solutions Manual (0130343277)
Â• Stepbystep solutions for every oddnumbered section exercise.
Â• Stepbystep solutions for every (even and odd) Check Point exercise, Chapter Review exercise, Chapter Test and Cumulative Review exercise.
How to Study Mathematics
Â• Have your instructor contact the local Prentice Hall sales representative.
Math on the Internet: A Student's Guide
Â• Have your instructor contact the local Prentice Hall sales representative.
Media Resources
Computerized Tutorial Software
MathPro Explorer 4.0
Â• Keyed to each section of the text for textspecific tutorial exercises and instruction.
Â• Warmup exercises and graded Practice Problems.
Â• Video clips show a problem being explained and worked out on the board.
Â• Algorithmically generated exercises. Online help, glossary and summary of scores.
MathPro 5Anytime. Anywhere.
Â• Enhanced, Internetbased version of Prentice Hall's popular tutorial software.
Lecture Videos
Â• Keyed to each section of the text.
Digitized Lecture Videos on CD.
Â• Have your instructor contact the local Prentice Hall sales representative.
Prentice Hall Tutoring Center
Â• Provides oneonone tutorial assistance by phone, email, or fax.
Companion Website
Â• Offers Warmups, Real World Activities and Chapter Quizzes.
Â• Email results to your instructor.
Â• Destination links provide additional opportunities to explore other related sites.