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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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Elementary Algebra: Concepts and Applications prepares you to transition from skills-oriented elementary algebra courses to more concept-oriented mathematics courses. New material includes more systematic preparation for practice as well as a stronger focus on real-world applications.

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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