Intermediate Algebra

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