Elementary and Intermediate Algebra / Edition 5

by Stefan Baratto, Donald Hutchison, Barry Bergman

Overview

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.

Product Details

ISBN-13:	9780073384467
Publisher:	McGraw Hill LLC
Publication date:	05/17/2013
Pages:	960
Product dimensions:	8.50(w) x 10.80(h) x 1.30(d)

About the Author

Stefan began teaching math and science in New York City middle schools. He also taughtmath at the University of Oregon, Southeast Missouri State University, and York CountyTechnical College. Currently, Stefan is a member of the mathematics faculty at ClackamasCommunity College where he has found a niche, delighting in the CCC faculty, staff, andstudents. Stefan’s own education includes the University of Michigan (BGS, 1988), BrooklynCollege (CUNY), and the University of Oregon (MS, 1996).

Stefan is currently serving on the AMATYC Executive Board as the organization’s NorthwestVice President. He has also been involved with ORMATYC, NEMATYC, NCTM, and theState of Oregon Math Chairs group, as well as other local organizations. He has applied hisknowledge 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 andthe Pacifi c Northwest. Their activities include scuba diving, self-defense training, and hiking.

Don began teaching in a preschool while he was an undergraduate. He subsequentlytaught children with disabilities, adults with disabilities, high school mathematics, andcollege mathematics. Although each position offered different challenges, it was alwaysbreaking a challenging lesson into teachable components that he most enjoyed.

It was at Clackamas Community College that he found his professional niche. The communitycollege allowed him to focus on teaching within a department that constantlychallenged 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 alsobeen an active member of many professional organizations. He has been president ofORMATYC, AMATYC committee chair, and ACM curriculum committee member. Hehas presented at AMATYC, ORMATYC, AACC, MAA, ICTCM, and a variety of otherconferences.

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 isthe process of communicating an idea that helps one to clarify it.

Barry has enjoyed teaching mathematics to a wide variety of students over the years. Hebegan in the fi eld of adult basic education and moved into the teaching of high schoolmathematics in 1977. He taught high school math for 11 years, at which point he servedas a K-12 mathematics specialist for his county. This work allowed him the opportunity tohelp promote the emerging NCTM standards in his region.

In 1990, Barry began the next portion of his career, having been hired to teach at ClackamasCommunity College. He maintains a strong interest in the appropriate use of technologyand 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. Barryalso served 4 years as an offi cer of ORMATYC and participated on an AMATYC committeeto provide feedback to revisions of NCTM’s standards.

Table of Contents

Applications Index

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

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

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

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

4.1 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

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

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

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

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

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

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

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