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Elementary Algebra: Concepts and Applications, 10th edition

Published by Pearson (January 1, 2021) © 2018

  • Marvin L. Bittinger Indiana University Purdue University Indianapolis
  • David J. Ellenbogen Community College of Vermont
  • Barbara L. Johnson Indiana University Indianapolis
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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.

MyLabâ„¢ 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.


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

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