Elementary Algebra: Concepts and Applications, 10th edition
Published by Pearson (January 27, 2017) © 2018
  • Marvin L. Bittinger
  • David J. Ellenbogen
  • Barbara L. Johnson

Title overview

For courses in Beginning Algebra.

Understanding and applying mathematical concepts

The Bittinger Concepts and Applications Series is a proven program that prepares students to transition from skills-oriented elementary algebra to more concept-oriented college-level mathematics courses. Elementary Algebra helps foster the critical-thinking skills needed to reason mathematically, to communicate mathematically, and to identify and solve mathematical problems.

The 10th Edition offers a strong focus on problem-solving, applications, and concepts. Updated material, developed from the authors' classroom experience as well as insights from faculty, includes more systematic review and preparation for practice along with more real-world applications.

Hallmark features of this title

  • The Bittinger 5-step problem-solving process repeated throughout helps students develop a consistent approach to setting up and solving problems: (1) Familiarize, (2) Translate, (3) Carry out, (4) Check, and (5) State the answer. This gives students a starting point for any type of problem, and frees them to focus on the unique aspects of the particular problem.
  • Exploring the Concept, Algebraic-Graphical Connections, and optional Technology Connections encourage students to think about and visualize concepts.
  • Connecting the Concepts summarize several sections, and are followed by Mixed Review exercises, to help students understand how concepts work together. Student Notes and Study Skills are strategically located throughout.
  • Your Turn exercises appear after every example and direct students to work similar problems for immediate reinforcement of skills and concepts.
  • Vocabulary and Reading Check exercises begin every exercise set. Aha! exercises encourage students to “look before they leap," and can be solved quickly without lengthy computation if the student has the proper insight. Skill Review exercises review all major concepts covered previously, and often focus on a single topic from multiple perspectives.
  • End-of-chapter resources include Decision Making: Connections to prepare students for math use in day-to-day life, along with Translating for Success, Visualizing for Success, and Collaborative Activities.

New to this Edition

  • Enhanced narrative helps students 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. The authors have updated real-world data examples and exercises to include subjects such as renewable energy, graduate-school acceptance, and zipline rides.
  • 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.

Key features

Features of MyLab Math for the 10th Edition

  • 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.
  • Student Success Module available in the left-hand navigation includes videos, activities, and post-tests.
  • To-the-Point Objective Videos are 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.
  • Expanded Interactive Exercises help build problem-solving skills and foster conceptual understanding. Guided Solutions exercises reinforce the step-by-step problem-solving process, while Drag & Drop functionality is applied to matching exercises throughout the course to better assess a student’s understanding.
  • 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.

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

Author bios

About our authors

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.

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