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Elementary and Intermediate Algebra, 5th Edition
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Elementary and Intermediate Algebra, 5th edition, by Baratto, Bergman, and Hutchison is part of the latest offerings in the successful Hutchison Series in Mathematics. The book is designed for a two-semester course sequence in beginning algebra and intermediate algebra is appropriate for lecture, learning center, laboratory, and self-paced settings. The fifth edition continues the series’ hallmark approach of encouraging mastery of mathematics through careful practice. The text provides detailed, straightforward explanations and accessible pedagogy to help students grow their math skills from the ground up. The authors use a three-pronged approach of communication, pattern recognition, and problem solving to present concepts understandably, stimulate critical-thinking skills, and stress reading and communication skills in order to help students become effective problem-solvers. Features such as Tips for Student Success, Check Yourself exercises, and Activities underscore this approach and the underlying philosophy of mastering math through practice. Exercise sets have been significantly expanded and are now better-organized, and applications are now more thoroughly integrated throughout the text. The text is fully-integrated with McGraw-Hill’s new online learning system, Connect Math Hosted by ALEKS Corp, and is available with ALEKS 360.
Preface
Applications Index
Chapter 0. Prealgebra Review
0.1 A Review of Fractions
0.2 Real Numbers
0.3 Adding and Subtracting
0.4 Multiplying and Dividing
0.5 Exponents and Order of Operations
Chapter 0: Summary
Chapter 0: Summary Exercises
Chapter 0: Chapter Test
Chapter 1. From Arithmetic to Algebra
1.1 Transition to Algebra
Activity 1: Exchanging Money
1.2 Evaluating Algebraic Expressions
1.3 Simplifying Algebraic Expressions
1.4 Solving Equations with the Addition Property
1.5 Solving Equations with the Multiplication Property
1.6 Combining the Rules to Solve Equations
1.7 Linear Inequalities
Chapter 1: Summary
Chapter 1: Summary Exercises
Chapter 1: Chapter Test
Chapter 2. Functions and Graphs
2.1 Formulas and Problem Solving
Activity 2: Graphing with a Calculator
2.2 Sets and Set Notation
2.3 Two Variable Equations
2.4 The Cartesian Coordinate System
2.5 Relations and Functions
2.6 Tables and Graphs
Chapter 2: Summary
Chapter 2: Summary Exercises
Chapter 2: Chapter Test
Chapters 0-2: Cumulative Review
Chapter 3. Graphing Linear Functions
3.1 Graphing Linear Functions
Activity 3: Linear Regression: A Graphing Calculator Activity
3.2 The Slope of a Line
3.3 Linear Equations
3.4 Rate of Change and Linear Regression
3.5 Linear Inequalities in Two Variables
Chapter 3: Summary
Chapter 3: Summary Exercises
Chapter 3: Chapter Test
Chapters 0-3: Cumulative Review
4. Systems of Linear Equations
4.1 Graphing Systems of Linear Equations
Activity 4: Agricultural Technology
4.2 Solving Equations in One Variable Graphically
4.3 Systems of Equations in Two Variables
4.4 Systems of Equations in Three Variables
4.5 Systems of Linear Inequalities
Chapter 4: Summary
Chapter 4: Summary Exercises
Chapter 4: Chapter Test
Chapters 0-4: Cumulative Review
Chapter 5. Exponents and Polynomials
5.1 Positive Integer Exponents
Activity 5: Wealth and Compound Interest
5.2 Integer Exponents and Scientific Notation
5.3 Introduction to Polynomials
5.4 Adding and Subtracting Polynomials
5.5 Multiplying Polynomials and Special Products
5.6 Dividing Polynomials
Chapter 5: Summary
Chapter 5: Summary Exercises
Chapter 5: Chapter Test
Chapters 0-5: Cumulative Review
Chapter 6. Factoring Polynomials
6.1 An Introduction to Factoring
Activity 6: ISBN’s and the Check Digit
6.2 Factoring Special Polynomials
6.3 Factoring: Trial and Error
6.4 Factoring: The ac Method
6.5 Factoring Strategies
6.6 Factoring and Problem Solving
Chapter 6: Summary
Chapter 6: Summary Exercises
Chapter 6: Chapter Test
Chapters 0-6: Cumulative Review
Chapter 7. Radicals and Exponents
7.1 Roots and Radicals
Activity 7: The Swing of a Pendulum
7.2 Simplifying Radical Expressions
7.3 Operations on Radicals
7.4 Solving Radical Equations
7.5 Rational Exponents
7.6 Complex Numbers
Chapter 7: Summary
Chapter 7: Summary Exercises
Chapter 7: Chapter Test
Chapters 0-7: Cumulative Review
Chapter 8. Quadratic Equations
8.1 Solving Quadratic Equations
Activity 8: The Gravity Model
8.2 The Quadratic Formula
8.3 An Introduction to Parabolas
8.4 Quadratic Equations and Problem Solving
Chapter 8: Summary
Chapter 8: Summary Exercises
Chapter 8: Chapter Test
Chapters 0-8: Cumulative Review
Chapter 9. Rational Expressions
9.1 Simplifying Rational Expressions
Activity 9: Communicating Mathematical Ideas
9.2 Multiplying and Dividing Rational Expressions
9.3 Adding and Subtracting Rational Expressions
9.4 Complex Rational Expressions
9.5 Graphing Rational Functions
9.6 Rational Equations and Problem Solving
Chapter 9: Summary
Chapter 9: Summary Exercises
Chapter 9: Chapter Test
Chapters 0-9: Cumulative Review
Chapter 10. Exponential and Logarithmic Functions
10.1 Algebra of Functions
Activity 10: Half-Life and Decay
10.2 Composition of Functions
10.3 Inverse Functions
10.4 Exponential Functions
10.5 Logarithmic Functions
10.6 Properties of Logarithms
10.7 Logarithmic and Exponential Equations
Chapter 10: Summary
Chapter 10: Summary Exercises
Chapter 10: Chapter Test
Chapters 0-10: Cumulative Review
Appendices
A.1 Solving Inequalities in One Variable Graphically
A.2 Solving Absolute-Value Equations
A.3 Solving Absolute-Value Equations Graphically
A.4 Solving Absolute-Value Inequalities
A.5 Solving Absolute-Value Inequalities Graphically
Answers to Reading Your Text, Summary Exercises, Chapter Tests, and Cumulative Reviews
Index
Main Features
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- Personalized Student Learning Path
- Traditional Homework, Tests, and Quizzes
- eBook pairing and Standalone options
- Custom Question Authoring
- Practice problems, quizzes and test banks
- One-click student messaging
- Student Progress Reporting and Analytics
About the Author
Stefan Baratto
Stefan began teaching math and science in New York City middle schools. He also taught
math at the University of Oregon, Southeast Missouri State University, and York County
Technical College. Currently, Stefan is a member of the mathematics faculty at Clackamas
Community College where he has found a niche, delighting in the CCC faculty, staff, and
students. Stefan’s own education includes the University of Michigan (BGS, 1988), Brooklyn
College (CUNY), and the University of Oregon (MS, 1996).
Stefan is currently serving on the AMATYC Executive Board as the organization’s Northwest
Vice President. He has also been involved with ORMATYC, NEMATYC, NCTM, and the
State of Oregon Math Chairs group, as well as other local organizations. He has applied his
knowledge of math to various fi elds, using statistics, technology, and web design. More personally,
Stefan and his wife, Peggy, try to spend time enjoying the wonders of Oregon and
the Pacifi c Northwest. Their activities include scuba diving, self-defense training, and hiking.
Barry Bergman
Barry has enjoyed teaching mathematics to a wide variety of students over the years. He
began in the fi eld of adult basic education and moved into the teaching of high school
mathematics in 1977. He taught high school math for 11 years, at which point he served
as a K-12 mathematics specialist for his county. This work allowed him the opportunity to
help promote the emerging NCTM standards in his region.
In 1990, Barry began the next portion of his career, having been hired to teach at Clackamas
Community College. He maintains a strong interest in the appropriate use of technology
and visual models in the learning of mathematics.
Throughout the past 32 years, Barry has played an active role in professional organizations.
As a member of OCTM, he contributed several articles and activities to the group’s journal.
He has presented at AMATYC, OCTM, NCTM, ORMATYC, and ICTCM conferences. Barry
also served 4 years as an offi cer of ORMATYC and participated on an AMATYC committee
to provide feedback to revisions of NCTM’s standards.
Donald Hutchison
Don began teaching in a preschool while he was an undergraduate. He subsequently
taught children with disabilities, adults with disabilities, high school mathematics, and
college mathematics. Although each position offered different challenges, it was always
breaking a challenging lesson into teachable components that he most enjoyed.
It was at Clackamas Community College that he found his professional niche. The community
college allowed him to focus on teaching within a department that constantly
challenged faculty and students to expect more. Under the guidance of Jim Streeter,
Don learned to present his approach to teaching in the form of a textbook. Don has also
been an active member of many professional organizations. He has been president of
ORMATYC, AMATYC committee chair, and ACM curriculum committee member. He
has presented at AMATYC, ORMATYC, AACC, MAA, ICTCM, and a variety of other
conferences.
Above all, he encourages you to be involved, whether as a teacher or as a learner.
Whether discussing curricula at a professional meeting or homework in a cafeteria, it is
the process of communicating an idea that helps one to clarify it.
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