Elementary Algebra

Description

NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab™ or Mastering™, several versions may exist for each title – including customized versions for individual schools – and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products.

For courses in Beginning Algebra.

Understanding and Applying Mathematical Concepts 

The goal of the Bittinger Concepts and Applications Series is to help today’s student learn and retain mathematical concepts. This proven program prepares students for the transition from skills-oriented elementary algebra courses to more concept-oriented college-level mathematics courses. This requires the development of critical-thinking skills: to reason mathematically, to communicate mathematically, and to identify and solve mathematical problems. The new editions support students with a tightly integrated MyLab™ Math course; a strong focus on problem-solving, applications, and concepts, and the robust MyMathGuide workbook and objective-based video program. In addition, new material — developed as a result of the authors’ experience in the classroom, as well as from insights from faculty and students — includes more systematic review and preparation for practice, as well as stronger focus on real-world applications.

Also available with MyLab Math.

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

About the Book

 

A GUIDED LEARNING PATH

To enhance the learning process and improve learner outcomes, the Bittinger program provides a broad range of support for students and instructors. Each person can personalize his or her learning or teaching experience by accessing help when he or she needs it.

 

PREPARE: Studying the concepts

Students can learn about each math concept by reading the textbook or eText, watching the To-the-Point Objective videos, participating in class, working in the MyMathGuide workbook — or using whatever combination of these course resources works best for him or her.

• The body of the text has been enhanced to help students better build their skills and understand key underlying concepts. The exposition, examples, and exercises have been carefully reviewed and, as appropriate, revised or replaced. New content includes more systematic review and preparation for practice, as well as stronger focus on the real-world applications for the math.
• Updated, interesting, and contemporary applications of mathematics, many of which make use of real data, help motivate students and instructors. In this new edition, the authors have updated real-world data examples and exercises to include subjects such as renewable energy, graduate-school acceptance, and zipline rides.

 

PRACTICE: Reinforcing understanding

As students explore the math, they have frequent opportunities to practice, self-assess, and reinforce their understanding.

• Check Your Understanding offers students the chance to reflect on the concepts just discussed  before beginning the exercise set. Working problems and answering questions helps students focus on the key skills and concepts just learned.

 

Also available with MyLab Math.

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

 

Prepare and motivate students with resources that support personalized learning and conceptual understanding

• Skill Builder offers adaptive practice that is designed to increase students’ ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives.
• Workspace Assignments allow students to work through an exercise step-by-step, adjusting to the path each student takes and allowing them to show their mathematical reasoning as they progress, receiving feedback when and where they need it most. When accessed via a mobile device, Workspace exercises use handwriting recognition software that allows students to naturally write out their answers with their fingertip or stylus.
• Student Success Module, available in the left-hand navigation of MyLab Math, includes videos, activities, and post-tests for these three student success areas:

 

Engage and guide students through concepts with a variety of robust multimedia resources

• Increased coverage of skill-building, conceptual, and applications exercises, plus new problem types such as drag & drop, provide even more flexibility when creating homework.
• To-the-Point Objective Videos is a comprehensive program of objective-based, interactive videos that can be used hand-in-hand with the MyMathGuide workbook. Video support for Interactive Your Turn exercises in the videos prompts students to solve problems  and receive instant feedback.
• Chapter Opener applications with Infographics use current data and applications to present the math in context. These applications are linked to exercises in the text and MyLab Math course to help students model, visualize, and learn the math. These openers also feature spotlights on real people sharing how they use math in their careers.
• Student Activities begin with real-world data and guide students to examine a key concept in each chapter, while analyzing the data and connecting other concepts. There is one activity per chapter and they are available in MyLab Math.
• Expanded Interactive exercises in MyLab Math help build problem-solving skills and foster conceptual understanding. For the Seventh Edition, Guided Solutions exercises were added  to reinforce the step-by-step problem-solving process, while the new Drag & Drop functionality was applied to matching exercises throughout the course to better assess a student’s understanding of the concepts.
• Learning Catalytics^™ helps instructors generate class discussion, customize lectures, and promote peer-to-peer learning with real-time analytics. As a student response tool, Learning Catalytics uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking.
• Upload a full PowerPoint^® deck for easy creation of slide questions.
• Team names are no longer case sensitive.
•  Help your students develop critical thinking skills.
• Monitor responses to find out where your students are struggling.
• Rely on real-time data to adjust your teaching strategy.
• Automatically group students for discussion, teamwork, and peer-to-peer learning.

Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and she is currently pursuing a PhD in Educational Studies at Ball state University. She has taught high school and college math for 30 years, and she enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she is also a student of karate.

Marvin Bittinger has taught math at the university level for more than thirty-eight years, and he is now professor emeritus of mathematics education at Indiana University-Purdue University. Professor Bittinger has authored numerous textbooks on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled “Baseball and Mathematics.” In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.

David Ellenbogen has taught math at the college level for nearly 30 years, spending most of that time in the Massachusetts and Vermont community college systems, where he has served on both curriculum and developmental math committees. He has taught at St. Michael’s College and The University of Vermont. Professor Ellenbogen has been active in the American Mathematical Association of Two Year Colleges (AMATYC) since 1985, having served on its Developmental Mathematics Committee and as a delegate. He has been a member of the Mathematical Association of America (MAA) since 1979. He has authored dozens of texts on topics ranging from prealgebra to calculus and has delivered lectures on the use of language in mathematics. Professor Ellenbogen received his bachelor’s degree in mathematics from Bates College and his master’s degree in community college mathematics education from The University of Massachusetts–Amherst. In his spare time, he enjoys playing piano, biking, hiking, skiing, and volunteer work. He currently serves on the boards of the Vermont Sierra Club and the Vermont Bicycle Pedestrian Coalition. He has two sons, Monroe and Zachary.

Table of Contents

1. Introduction to Algebraic Expressions
   • 1.1 Introduction to Algebra
   • 1.2 The Commutative, Associative, and Distributive Laws
   • 1.3 Fraction Notation
   • 1.4 Positive and Negative Real Numbers
   • 1.5 Addition of Real Numbers
   • 1.6 Subtraction of Real Numbers
   • 1.7 Multiplication and Division of Real Numbers
   • 1.8 Exponential Notation and Order of Operations
2. Equations, Inequalities, and Problem Solving
   • 2.1 Solving Equations
   • 2.2 Using the Principles Together
   • 2.3 Formulas
   • 2.4 Applications with Percent
   • 2.5 Problem Solving
   • 2.6 Solving Inequalities
   • 2.7 Solving Applications with Inequalities
3. Introduction to Graphing
   • 3.1 Reading Graphs, Plotting Points, and Scaling Graphs
   • 3.2 Graphing Linear Equations
   • 3.3 Graphing and Intercepts
   • 3.4 Rates
   • 3.5 Slope
   • 3.6 Slope-Intercept Form
   • 3.7 Point-Slope Form
4. Polynomials
   • 4.1 Exponents and Their Properties
   • 4.2 Polynomials
   • 4.3 Addition and Subtraction of Polynomials
   • 4.4 Multiplication of Polynomials
   • 4.5 Special Products
   • 4.6 Polynomials in Several Variables
   • 4.7 Division of Polynomials
   • 4.8 Negative Exponents and Scientific Notation
5. Polynomials and Factoring
   • 5.1 Introduction to Factoring
   • 5.2 Factoring Trinomials of the Type x² + bx + c
   • 5.3 Factoring Trinomials of the Type ax² + bx + c
   • 5.4 Factoring Perfect-Square Trinomials and Difference of Squares
   • 5.5 Factoring: A General Strategy
   • 5.6 Solving Quadratic Equations by Factoring
   • 5.7 Solving Applications
6. Rational Expressions and Equations
   • 6.1 Rational Expressions
   • 6.2 Multiplication and Division
   • 6.3 Addition, Subtraction, and Least Common Denominators
   • 6.4 Addition and Subtraction with Unlike Denominators
   • 6.5 Complex Rational Expressions
   • 6.6 Rational Equations
   • 6.7 Applications Using Rational Equations and Proportions
7. Systems and More Graphing
   • 7.1 Systems of Equations and Graphing
   • 7.2 Systems of Equations and Substitution
   • 7.3 Systems of Equations and Elimination
   • 7.4 More Applications Using Systems
   • 7.5 Linear Inequalities in Two Variables
   • 7.6 Systems of Linear Inequalities
   • 7.7 Direct Variation and Inverse Variation
8. Radical Expressions and Equations
   • 8.1 Introduction to Square Roots and Radical Expressions
   • 8.2 Multiplying and Simplifying Radical Expressions
   • 8.3 Quotients Involving Square Roots
   • 8.4 Radical Expressions with Several Terms
   • 8.5 Radical Equations
   • 8.6 Applications Using Right Triangles
   • 8.7 Higher Roots and Rational Exponents
9. Quadratic Equations
   • 9.1 Solving Quadratic Equations: The Principle of Square Roots
   • 9.2 Solving Quadratic Equations: Completing the Square
   • 9.3 The Quadratic Formula and Applications
   • 9.4 Formulas
   • 9.5 Complex Numbers as Solutions of Quadratic Equations
   • 9.6 Graphs of Quadratic Functions
   • 9.7 Functions

Appendix A. Factoring Sums or Differences of Cubes

Appendix B. Mean, Median, and Mode

Appendix C. Sets

NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLabTM or MasteringTM, several versions may exist for each title – including customized versions for individual schools – and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products.

For courses in Beginning Algebra.

Understanding and Applying Mathematical Concepts

The goal of the Bittinger Concepts and Applications Series is to help today’s student learn and retain mathematical concepts. This proven program prepares students for the transition from skills-oriented elementary algebra courses to more concept-oriented college-level mathematics courses. This requires the development of critical-thinking skills: to reason mathematically, to communicate mathematically, and to identify and solve mathematical problems. The new editions support students with a tightly integrated MyLabTM Math course; a strong focus on problem-solving, applications, and concepts, and the robust MyMathGuide workbook and objective-based video program. In addition, new material – developed as a result of the authors’ experience in the classroom, as well as from insights from faculty and students – includes more systematic review and preparation for practice, as well as stronger focus on real-world applications.

Also available with MyLab Math.

MyLabTM Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

Note: You are purchasing a standalone product; MyLab does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

If you would like to purchase both the physical text and MyLab, search for:

0134453182 / 9780134453187 Elementary Algebra: Concepts & Applications, Books a la Carte Edition Plus MyLab Math — Access Card Package, 10/e

Package consists of:

• 0134452577 / 9780134452579 Elementary Algebra: Concepts & Applications, Books a la Carte Edition
• 0321262522 / 9780321262523 MyLab Math – Valuepack Access Card

About the Book

Additional information

Dimensions	0.90 × 8.40 × 10.80 in
Imprint	Pearson
Format	gen
ISBN-13	09780134452579
ISBN-10	0134452577
Author	Barbara L. Johnson, David J. Ellenbogen, Marvin L. Bittinger
Subjects	mathematics, higher education, Developmental Math, Elementary Algebra