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Essentials of College Algebra, 12th edition

Published by Pearson (July 14, 2021) © 2019

  • Margaret L. Lial American River College
  • John Hornsby University of New Orleans
  • David I. Schneider University of Maryland
  • Callie J. Daniels St. Charles Community College
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In Essentials of College Algebra, the experience of master teachers helps you develop both the conceptual understanding and analytical skills needed to succeed in mathematics. The 12th Edition offers a new suite of resources to support students. A systematic approach engages you in the learning process; the variety of examples and exercise types promotes conceptual understanding and reduces rote memorization. Ample opportunities for review appear throughout and at the end of chapters to support review and test preparation. Nearly 700 of the exercises are new or revised, and new Concept Preview Exercises now begin each homework section to ensure understanding of vocabulary and basic concepts (particularly useful for hybrid, online and flipped courses).

  • Preface
    • Resources for Success

R. Review of Basic Concepts

  • R.1 Sets
  • R.2 Real Numbers and Their Properties
  • R.3 Polynomials
  • R.4 Factoring Polynomials
  • R.5 Rational Expressions
  • R.6 Rational Exponents
  • R.7 Radical Expressions

1. Equations and Inequalities

  • 1.1 Linear Equations
  • 1.2 Applications and Modeling with Linear Equations
  • 1.3 Complex Numbers
  • 1.4 Quadratic Equations
  • 1.5 Applications and Modeling with Quadratic Equations
  • 1.6 Other Types of Equations and Applications
  • 1.7 Inequalities
  • 1.8 Absolute Value Equations and Inequalities
  • Test Prep
  • Review Exercises
  • Test

2. Graphs and Functions

  • 2.1 Rectangular Coordinates and Graphs
  • 2.2 Circles
  • 2.3 Functions
  • 2.4 Linear Functions
  • 2.5 Equations of Lines and Linear Models
  • 2.6 Graphs of Basic Functions
  • 2.7 Graphing Techniques
  • 2.8 Function Operations and Composition
  • Test Prep
  • Review Exercises
  • Test

3. Polynomials and Rational Functions

  • 3.1 Quadratic Functions and Models
  • 3.2 Synthetic Division
  • 3.3 Zeros of Polynomial Functions
  • 3.4 Polynomial Functions: Graphs, Applications, and Models
  • 3.5 Rational Functions: Graphs, Applications, and Models
  • 3.6 Variation
  • Test Prep
  • Review Exercises
  • Test

4. Inverse, Exponential, and Logarithmic Functions

  • 4.1 Inverse Functions
  • 4.2 Exponential Functions
  • 4.3 Logarithmic Functions
  • 4.4 Evaluating Logarithms and the Change-of-Base Theorem
  • 4.5 Exponential and Logarithmic Equations
  • 4.6 Applications and Models of Exponential Growth and Decay
  • Test Prep
  • Review Exercises
  • Test

5. Systems and Matrices

  • 5.1 Systems of Linear Equations
  • 5.2 Matrix Solution of Linear Systems
  • 5.3 Determinant Solution of Linear Systems
  • 5.4 Partial Fractions
  • 5.5 Nonlinear Systems of Equations
  • 5.6 Systems of Inequalities and Linear Programming
  • 5.7 Properties of Matrices
  • 5.8 Matrix Inverses
  • Test Prep
  • Review Exercises
  • Test

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