College Algebra, 5th edition

Published by Pearson (March 15, 2024) © 2025

  • Kirk Trigsted University of Idaho
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College Algebra with Interactive Assignments provides the step-by-step guidance you need to succeed throughout your course, both in and out of class. The author has pioneered a unique customizable learning environment that carefully blends videos, text, interactive figures, interactive assignments and other resources to build your mathematical confidence and capability.

The completely digital 5th Edition immerses users in new, MyLab®-based Interactive Assignments that encourage active learning and participation. Additional revision features include new GeoGebra Graphing Exercises, a new standalone eTextbook, new Concept Check exercises, and much more.

R. Review Chapter

  • R.1 Real Numbers
  • R.2 A Review of Fractions and the Order of Operations
  • R.3 The Properties of Integer Exponents
  • R.4 Radicals and Rational Exponents
  • R.5 Polynomials
  • R.6 Operations with Radicals
  • R.7 Factoring Polynomials
  • R.8 Rational Expressions
  • R.9 The Addition and Multiplication Properties of Equality
  • Chapter Summary

1. Equations, Inequalities, and Applications

  • 1.1 Linear and Rational Equations
  • 1.2 Applications of Linear Equations and Rational Equations
  • 1.3 Complex Numbers
  • 1.4 Quadratic Equations
  • 1.5 Applications of Quadratic Equations
  • 1.6 Other Types of Equations
  • 1.7 Linear Inequalities in One Variable
  • 1.8 Absolute Value Equations and Inequalities
  • 1.9 Polynomial and Rational Inequalities
  • Chapter Summary

2. The Rectangular Coordinate System, Lines, and Circles

  • 2.1 The Rectangular Coordinate System
  • 2.2 Circles
  • 2.3 Lines
  • 2.4 Parallel and Perpendicular Lines
  • Chapter Summary

3. Functions

  • 3.1 Relations and Functions
  • 3.2 Properties of a Function's Graph
  • 3.3 Graphs of Basic Functions; Piecewise Functions
  • 3.4 Transformations of Functions
  • 3.5 The Algebra of Functions; Composite Functions
  • 3.6 One-to-One Functions; Inverse Functions
  • Chapter Summary

4. Polynomial and Rational Functions

  • 4.1 Quadratic Functions
  • 4.2 Applications and Modeling of Quadratic Functions
  • 4.3 The Graphs of Polynomial Functions
  • 4.4 Synthetic Division; The Remainder and Factor Theorems
  • 4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra
  • 4.6 Rational Functions and Their Graphs
  • 4.7 Variation
  • Chapter Summary

5. Exponential and Logarithmic Functions and Equations

  • 5.1 Exponential Functions
  • 5.2 Logarithmic Functions
  • 5.3 Properties of Logarithms
  • 5.4 Exponential and Logarithmic Equations
  • 5.5 Applications of Exponential and Logarithmic Functions
  • Chapter Summary

6. Conic Sections and Parametric Equations

  • 6.1 The Parabola
  • 6.2 The Ellipse
  • 6.3 The Hyperbola
  • Chapter Summary

7. Systems of Equations and Inequalities

  • 7.1 Solving Systems of Linear Equations in Two Variables
  • 7.2 Solving Systems of Linear Equations in Three Variables Using the Elimination Method
  • 7.3 Solving Systems of Linear Equations in Three Variables Using Gaussian Elimination and Gauss-Jordan Elimination
  • 7.4 Partial Fraction Decomposition
  • 7.5 Systems of Nonlinear Equations
  • 7.6 Systems of Inequalities
  • Chapter Summary

8. Matrices

  • 8.1 Matrix Operations
  • 8.2 Inverses of Matrices and Matrix Equations
  • 8.3 Determinants and Cramer's Rule
  • Chapter Summary

9. Sequences and Series; Counting and Probability

  • 9.1 Introduction to Sequences and Series
  • 9.2 Arithmetic Sequences and Series
  • 9.3 Geometric Sequences and Series
  • 9.4 The Binomial Theorem
  • 9.5 Mathematical Induction
  • 9.6 The Theory of Counting
  • 9.7 An Introduction to Probability
  • Chapter Summary

Appendix: Conic Section Proofs

  • A.1 Parabola Proofs
  • A.2 Ellipse Proofs
  • A.3 Hyperbola Proofs

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