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Elementary Algebra 2e

by Lynn Marecek, MaryAnne Anthony-Smith and Andrea Honeycutt Mathis

Published by OpenStax

MathematicsCollege

Elementary Algebra 2e is designed to meet scope and sequence requirements for a one-semester elementary 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. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. 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 Elementary Algebra by OpenStax is available in web view here .

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Attribution

Adapted from Elementary Algebra 2e by Lynn Marecek, MaryAnne Anthony-Smith, 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/elementary-algebra-2e. Changes: converted to CuraCourse lessons, with interactive practice added.

Table of contents

92 pages in 11 modules. Sign up to read and adopt them.

  1. Preface1 page
    1. Preface
  2. 1Foundations12 pages
    1. Introduction
    2. 1.1Introduction to Whole Numbers
    3. 1.2Use the Language of Algebra
    4. 1.3Add and Subtract Integers
    5. 1.4Multiply and Divide Integers
    6. 1.5Visualize Fractions
    7. 1.6Add and Subtract Fractions
    8. 1.7Decimals
    9. 1.8The Real Numbers
    10. 1.9Properties of Real Numbers
    11. 1.10Systems of Measurement
    12. Practice
  3. 2Solving Linear Equations and Inequalities9 pages
    1. Introduction
    2. 2.1Solve Equations Using the Subtraction and Addition Properties of Equality
    3. 2.2Solve Equations using the Division and Multiplication Properties of Equality
    4. 2.3Solve Equations with Variables and Constants on Both Sides
    5. 2.4Use a General Strategy to Solve Linear Equations
    6. 2.5Solve Equations with Fractions or Decimals
    7. 2.6Solve a Formula for a Specific Variable
    8. 2.7Solve Linear Inequalities
    9. Practice
  4. 3Math Models8 pages
    1. Introduction
    2. 3.1Use a Problem-Solving Strategy
    3. 3.2Solve Percent Applications
    4. 3.3Solve Mixture Applications
    5. 3.4Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem
    6. 3.5Solve Uniform Motion Applications
    7. 3.6Solve Applications with Linear Inequalities
    8. Practice
  5. 4Graphs9 pages
    1. Introduction
    2. 4.1Use the Rectangular Coordinate System
    3. 4.2Graph Linear Equations in Two Variables
    4. 4.3Graph with Intercepts
    5. 4.4Understand Slope of a Line
    6. 4.5Use the Slope-Intercept Form of an Equation of a Line
    7. 4.6Find the Equation of a Line
    8. 4.7Graphs of Linear Inequalities
    9. Practice
  6. 5Systems of Linear Equations8 pages
    1. Introduction
    2. 5.1Solve Systems of Equations by Graphing
    3. 5.2Solving Systems of Equations by Substitution
    4. 5.3Solve Systems of Equations by Elimination
    5. 5.4Solve Applications with Systems of Equations
    6. 5.5Solve Mixture Applications with Systems of Equations
    7. 5.6Graphing Systems of Linear Inequalities
    8. Practice
  7. 6Polynomials9 pages
    1. Introduction
    2. 6.1Add and Subtract Polynomials
    3. 6.2Use Multiplication Properties of Exponents
    4. 6.3Multiply Polynomials
    5. 6.4Special Products
    6. 6.5Divide Monomials
    7. 6.6Divide Polynomials
    8. 6.7Integer Exponents and Scientific Notation
    9. Practice
  8. 7Factoring8 pages
    1. Introduction
    2. 7.1Greatest Common Factor and Factor by Grouping
    3. 7.2Factor Trinomials of the Form x2+bx+c
    4. 7.3Factor Trinomials of the Form ax2+bx+c
    5. 7.4Factor Special Products
    6. 7.5General Strategy for Factoring Polynomials
    7. 7.6Quadratic Equations
    8. Practice
  9. 8Rational Expressions and Equations11 pages
    1. Introduction
    2. 8.1Simplify Rational Expressions
    3. 8.2Multiply and Divide Rational Expressions
    4. 8.3Add and Subtract Rational Expressions with a Common Denominator
    5. 8.4Add and Subtract Rational Expressions with Unlike Denominators
    6. 8.5Simplify Complex Rational Expressions
    7. 8.6Solve Rational Equations
    8. 8.7Solve Proportion and Similar Figure Applications
    9. 8.8Solve Uniform Motion and Work Applications
    10. 8.9Use Direct and Inverse Variation
    11. Practice
  10. 9Roots and Radicals10 pages
    1. Introduction
    2. 9.1Simplify and Use Square Roots
    3. 9.2Simplify Square Roots
    4. 9.3Add and Subtract Square Roots
    5. 9.4Multiply Square Roots
    6. 9.5Divide Square Roots
    7. 9.6Solve Equations with Square Roots
    8. 9.7Higher Roots
    9. 9.8Rational Exponents
    10. Practice
  11. 10Quadratic Equations7 pages
    1. Introduction
    2. 10.1Solve Quadratic Equations Using the Square Root Property
    3. 10.2Solve Quadratic Equations by Completing the Square
    4. 10.3Solve Quadratic Equations Using the Quadratic Formula
    5. 10.4Solve Applications Modeled by Quadratic Equations
    6. 10.5Graphing Quadratic Equations in Two Variables
    7. Practice