Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

5th Edition

By Stefan Baratto and Barry Bergman and Donald Hutchison

  • Copyright: 2014

  • Publication Date: May 15 2013

  • ISBN 10: 0073384461

  • ISBN 13: 9780073384467



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

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.

  • Language: English

  • Imprint: WCB/McGraw-Hill

  • Dimension: 8.5 x 10.7

  • Page Count: 1120

New Features

  • Connect Math Hosted by ALEKS: McGraw-Hill’s exciting new assignment and assessment eHomework platform. Instructors can assign AI-driven ALEKS Assessments to identify each student’s strengths and weaknesses at the beginning of the term rather than after the first exam. Features efficient and intuitive assignment creation, and a straightforward gradebook with the flexibility to import and export additional grades. The all-new online exercises and guided solutions were developed with the help of our experienced instructors and ALEKS Corporation to ensure full consistency between the text and digital resources.
  • Coverage: Reorganized and streamlined Table of Contents. Substantially improved presentation of factoring strategies and methods. More progressive buildup of techniques for simplifying rational expressions.
  • Narrative: Revised learning objectives. Improved and expanded instruction of reading, interpreting, and solving word problems and applications. More emphasis placed on checking answers. Improved calculator instruction.
  • Applications: Worked examples and exposition now better-integrated with applications. All applications updated appropriately for current data and events.
  • Exercises: Over 700 new exercises; 300 more than the fourth edition. Exercise sets now better-organized by category, making it easier for instructors to plan assignments. Chapter Tests reorganized to better reflect actual exams.
  • ALEKS 360: A fully integrated, interactive eBook combined with the power of ALEKS adaptive learning and assessment in a cost-effective total solution. Students can easily access a full eBook of the text, multimedia resources, and their notes from within their ALEKS Student Accounts.

Key Features

  • Make the Connection: Chapter-opening vignettes provide interesting, relevant scenarios that engage students in the upcoming material. Related exercises and Activities later revisit the vignette’s themes to more effectively drive mathematical comprehension. Marked with an icon.
  • Activities: Promotes active learning by requiring students to find, interpret, and manipulate real-world data. Activities tie the chapter together with questions that sharpen mathematical and conceptual understanding of the chapter material. Students can complete the activities on their own or in small groups.
  • Reading Your Text: Brief exercise set at the end of each section that assess students’ mastery of key vocabulary terms, encourage careful reading, and reinforce understanding of core math concepts. Answers provided at the end of the book.
  • Chapter Tests: Exercise set allowing students to check their progress and review important concepts so they can prepare for exams with confidence and proper guidance. Answers provided at the end of the book, along with section references for looking back and reviewing important material.
  • Cumulative Reviews: Exercise set reinforcing previously covered material to help students identify skills necessary to review when preparing for midterm and final exams, and to help retain knowledge throughout the course. Answers provided at the end of the book, along with section references for looking back to review important material.
  • “Check Yourself” Exercises: Every worked example in the book is followed by an exercise encouraging students to solve a problem similar to the one just presented and check, through practice, what they have just learned. Answers provided at the end of the section for immediate feedback.
  • End-of-Section Exercises: Comprehensive exercise sets evaluating students’ conceptual mastery of the section through practice. Structured to highlight the progression in level, and organized by category and section learning objective to help instructors plan assignments. Odd-numbered answers provided for students at the end of the exercise set.
  • Summary and Summary Exercises: Summaries at the end of each chapter show students key concepts from the chapter that they need to review, and provide page references to where each concept is introduced. Summary Exercises give students opportunities to practice these important concepts, with section references showing where they can go back to review relevant examples. Odd-numbered answers to Summary Exercises provided at the end of the book.
  • Tips for Student Success: Boxes offering valuable advice and resources helping students new to collegiate math develop the study skills needed for success. These class-tested suggestions provide extra direction on preparing for class, studying for exams, and becoming familiar with additional resources available outside of class.
  • Notes and Recalls: Margin boxes accompanying the step-by-step worked examples. Provides just-in-time reminders that reinforce previously learned material and help students focus on information critical to their success.
  • Cautions: Margin notes integrated throughout the text to alert students to common mistakes and how to avoid them.
  • Graphing Calculator coverage: Graphing Calculator Option introduce students to key features of a graphing calculator, while Graphing Calculator Check boxes offer short accompanying exercises for calculator practice. Throughout the text, worked examples that use a calculator are marked with an icons and calculator keystrokes and screenshots are provided when necessary in the narrative and Note and Recall margin boxes.
  • Video Exercises: Guided video solutions to selected exercises in each section of the text. Marked with an icon in the text and available through Connect Math Hosted by ALEKS, these videos feature a presenter working through the exercises just as an instructor would, following the solution methodology from the text. Videos available closed-captioned for the hearing-impaired or subtitled in Spanish, and meet the Americans with Disabilities Act Standards for Accessible Design.










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 E

Table of Contents



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


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




About the Authors

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). <br> <br> 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. <br> <br> 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. <br> <br> 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.<br><br> 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.<br><br> 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.