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Intermediate Algebra 2e

by Lynn Marecek and Andrea Honeycutt Mathis

Published by OpenStax

MathematicsCollege

Intermediate Algebra 2e is designed to meet the scope and sequence requirements of a one-semester intermediate algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. The material is presented as a sequence of clear steps, building on concepts presented in prealgebra and elementary algebra courses. The second edition contains detailed updates and accuracy revisions to address comments and suggestions from users. Dozens of faculty experts worked through the text, exercises and problems, graphics, and solutions to identify areas needing improvement. Though the authors made significant changes and enhancements, exercise and problem numbers remain nearly the same in order to ensure a smooth transition for faculty. The first edition of Intermediate Algebra by OpenStax is available in web view here .

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Attribution

Adapted from Intermediate Algebra 2e by Lynn Marecek and Andrea Honeycutt Mathis, published by OpenStax (Rice University) under CC BY-NC-SA 4.0 (https://creativecommons.org/licenses/by-nc-sa/4.0/). Access the original for free at https://openstax.org/details/books/intermediate-algebra-2e. Changes: converted to CuraCourse lessons, with interactive practice added.

Table of contents

95 pages in 13 modules. Sign up to read and adopt them.

  1. Preface1 page
    1. Preface
  2. 1Foundations7 pages
    1. Introduction
    2. 1.1Use the Language of Algebra
    3. 1.2Integers
    4. 1.3Fractions
    5. 1.4Decimals
    6. 1.5Properties of Real Numbers
    7. Practice
  3. 2Solving Linear Equations9 pages
    1. Introduction
    2. 2.1Use a General Strategy to Solve Linear Equations
    3. 2.2Use a Problem Solving Strategy
    4. 2.3Solve a Formula for a Specific Variable
    5. 2.4Solve Mixture and Uniform Motion Applications
    6. 2.5Solve Linear Inequalities
    7. 2.6Solve Compound Inequalities
    8. 2.7Solve Absolute Value Inequalities
    9. Practice
  4. 3Graphs and Functions8 pages
    1. Introduction
    2. 3.1Graph Linear Equations in Two Variables
    3. 3.2Slope of a Line
    4. 3.3Find the Equation of a Line
    5. 3.4Graph Linear Inequalities in Two Variables
    6. 3.5Relations and Functions
    7. 3.6Graphs of Functions
    8. Practice
  5. 4Systems of Linear Equations9 pages
    1. Introduction
    2. 4.1Solve Systems of Linear Equations with Two Variables
    3. 4.2Solve Applications with Systems of Equations
    4. 4.3Solve Mixture Applications with Systems of Equations
    5. 4.4Solve Systems of Equations with Three Variables
    6. 4.5Solve Systems of Equations Using Matrices
    7. 4.6Solve Systems of Equations Using Determinants
    8. 4.7Graphing Systems of Linear Inequalities
    9. Practice
  6. 5Polynomials and Polynomial Functions6 pages
    1. Introduction
    2. 5.1Add and Subtract Polynomials
    3. 5.2Properties of Exponents and Scientific Notation
    4. 5.3Multiply Polynomials
    5. 5.4Dividing Polynomials
    6. Practice
  7. 6Factoring7 pages
    1. Introduction to Factoring
    2. 6.1Greatest Common Factor and Factor by Grouping
    3. 6.2Factor Trinomials
    4. 6.3Factor Special Products
    5. 6.4General Strategy for Factoring Polynomials
    6. 6.5Polynomial Equations
    7. Practice
  8. 7Rational Expressions and Functions8 pages
    1. Introduction
    2. 7.1Multiply and Divide Rational Expressions
    3. 7.2Add and Subtract Rational Expressions
    4. 7.3Simplify Complex Rational Expressions
    5. 7.4Solve Rational Equations
    6. 7.5Solve Applications with Rational Equations
    7. 7.6Solve Rational Inequalities
    8. Practice
  9. 8Roots and Radicals10 pages
    1. Introduction
    2. 8.1Simplify Expressions with Roots
    3. 8.2Simplify Radical Expressions
    4. 8.3Simplify Rational Exponents
    5. 8.4Add, Subtract, and Multiply Radical Expressions
    6. 8.5Divide Radical Expressions
    7. 8.6Solve Radical Equations
    8. 8.7Use Radicals in Functions
    9. 8.8Use the Complex Number System
    10. Practice
  10. 9Quadratic Equations and Functions10 pages
    1. Introduction
    2. 9.1Solve Quadratic Equations Using the Square Root Property
    3. 9.2Solve Quadratic Equations by Completing the Square
    4. 9.3Solve Quadratic Equations Using the Quadratic Formula
    5. 9.4Solve Equations in Quadratic Form
    6. 9.5Solve Applications of Quadratic Equations
    7. 9.6Graph Quadratic Functions Using Properties
    8. 9.7Graph Quadratic Functions Using Transformations
    9. 9.8Solve Quadratic Inequalities
    10. Practice
  11. 10Exponential and Logarithmic Functions7 pages
    1. Introduction
    2. 10.1Finding Composite and Inverse Functions
    3. 10.2Evaluate and Graph Exponential Functions
    4. 10.3Evaluate and Graph Logarithmic Functions
    5. 10.4Use the Properties of Logarithms
    6. 10.5Solve Exponential and Logarithmic Equations
    7. Practice
  12. 11Conics7 pages
    1. Introduction
    2. 11.1Distance and Midpoint Formulas; Circles
    3. 11.2Parabolas
    4. 11.3Ellipses
    5. 11.4Hyperbolas
    6. 11.5Solve Systems of Nonlinear Equations
    7. Practice
  13. 12Sequences, Series and Binomial Theorem6 pages
    1. Introduction
    2. 12.1Sequences
    3. 12.2Arithmetic Sequences
    4. 12.3Geometric Sequences and Series
    5. 12.4Binomial Theorem
    6. Practice