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Intermediate 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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Intermediate Algebra: Concepts and Applications prepares you to transition from skills-oriented elementary algebra courses to more concept-oriented mathematics courses. The text supports the development of critical-thinking skills such as reasoning and communicating mathematically and identifying and solving problems.

Table of Contents

  1. Algebra and Problem Solving
    • 1.1 Some Basics of Algebra
    • 1.2 Operations and Properties of Real Numbers
    • 1.3 Solving Equations
    • 1.4 Introduction to Problem Solving
    • 1.5 Formulas, Models, and Geometry
    • 1.6 Properties of Exponents
    • 1.7 Scientific Notation
  2. Graphs, Functions, and Linear Equations
    • 2.1 Graphs
    • 2.2 Functions
    • 2.3 Linear Functions: Slope, Graphs, and Models
    • 2.4 Another Look at Linear Graphs
    • 2.5 Equations of Lines and Modeling
    • 2.6 The Algebra of Functions
  3. Systems of Linear Equations and Problem Solving
    • 3.1 Systems of Equations in Two Variables
    • 3.2 Solving by Substitution or Elimination
    • 3.3 Solving Applications: Systems of Two Equations
    • 3.4 Systems of Equations in Three Variables
    • 3.5 Solving Applications: Systems of Three Equations
    • 3.6 Elimination Using Matrices
    • 3.7 Determinants and Cramer’S Rule
    • 3.8 Business and Economics Applications
  4. Inequalities and Problem Solving
    • 4.1 Inequalities and Applications
    • 4.2 Intersections, Unions, and Compound Inequalities
    • 4.3 Absolute-Value Equations and Inequalities
    • 4.4 Inequalities in Two Variables
    • 4.5 Applications Using Linear Programming
  5. Polynomials and Polynomial Functions
    • 5.1 Introduction to Polynomials and Polynomial Functions
    • 5.2 Multiplication of Polynomials
    • 5.3 Common Factors and Factoring by Grouping
    • 5.4 Factoring Trinomials
    • 5.5 Factoring Perfect-Square Trinomials and Differences of Squares
    • 5.6 Factoring Sums or Differences of Cubes
    • 5.7 Factoring: A General Strategy
    • 5.8 Applications of Polynomial Equations
  6. Rational Expressions, Equations, and Functions
    • 6.1 Rational Expressions and Functions: Multiplying and Dividing
    • 6.2 Rational Expressions and Functions: Adding and Subtracting
    • 6.3 Complex Rational Expressions
    • 6.4 Rational Equations
    • 6.5 Solving Applications Using Rational Equations
    • 6.6 Division of Polynomials
    • 6.7 Synthetic Division and the Remainder Theorem
    • 6.8 Formulas, Applications, and Variation
  7. Exponents and Radicals
    • 7.1 Radical Expressions and Functions
    • 7.2 Rational Numbers as Exponents
    • 7.3 Multiplying Radical Expressions
    • 7.4 Dividing Radical Expressions
    • 7.5 Expressions Containing Several Radical Terms
    • 7.6 Solving Radical Equations
    • 7.7 The Distance Formula, the Midpoint Formula, and Other Applications
    • 7.8 The Complex Numbers
  8. Quadratic Functions and Equations
    • 8.1 Quadratic Equations
    • 8.2 The Quadratic Formula
    • 8.3 Studying Solutions of Quadratic Equations
    • 8.4 Applications Involving Quadratic Equations
    • 8.5 Equations Reducible to Quadratic
    • 8.6 Quadratic Functions and Their Graphs
    • 8.7 More About Graphing Quadratic Functions
    • 8.8 Problem Solving and Quadratic Functions
    • 8.9 Polynomial Inequalities and Rational Inequalities
  9. Exponential Functions and Logarithmic Functions
    • 9.1 Composite Functions and Inverse Functions
    • 9.2 Exponential Functions
    • 9.3 Logarithmic Functions
    • 9.4 Properties of Logarithmic Functions
    • 9.5 Common Logarithms and Natural Logarithms
    • 9.6 Solving Exponential Equations and Logarithmic Equations
    • 9.7 Applications of Exponential Functions and Logarithmic Functions
  10. Conic Sections
    • 10.1 Conic Sections: Parabolas and Circles
    • 10.2 Conic Sections: Ellipses
    • 10.3 Conic Sections: Hyperbolas
    • 10.4 Nonlinear Systems of Equations
  11. Sequences, Series, and the Binomial Theorem
    • 11.1 Sequences and Series
    • 11.2 Arithmetic Sequences and Series
    • 11.3 Geometric Sequences and Series
    • 11.4 The Binomial Theorem

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