Table of Contents

Beginning & Intermediate Algebra Textbook Contents

1. Review of Real Numbers

  • 1.1 Study Skill Tips for Success in Mathematics
  • 1.2 Symbols and Sets of Numbers
  • 1.3 Fractions and Mixed Numbers
  • 1.4 Exponents, Order of Operations, Variable Expressions and Equations
  • 1.5 Adding Real Numbers
  • 1.6 Subtracting Real Numbers
  • 1.7 Multiplying and Dividing Real Numbers
  • 1.8 Properties of Real Numbers

2. Equations, Inequalities, and Problem Solving

  • 2.1 Simplifying Algebraic Expressions
  • 2.2 The Addition and Multiplication Properties of Equality
  • 2.3 Solving Linear Equations
  • 2.4 An Introduction to Problem Solving 
  • 2.5 Formulas and Problem Solving
  • 2.6 Percent and Mixture Problem Solving
  • 2.7 Further Problem Solving
  • 2.8 Solving Linear Inequalities 

3. Graphing

  • 3.1 Reading Graphs and the Rectangular Coordinate System
  • 3.2 Graphing Linear Equations
  • 3.3 Intercepts
  • 3.4 Slope and Rate of Change
  • 3.5 Equation of Lines
  • 3.6 Functions

4. Solving Systems of Linear Equations

  • 4.1 Solving Systems of Linear Equations by Graphing
  • 4.2 Solving Systems of Linear Equations by Substitution
  • 4.3 Solving Systems of Linear Equations by Addition
  • 4.4 Solving Systems of Linear Equations in Three Variables
  • 4.5 Systems of Linear Equations and Problem Solving

5. Exponents and Polynomials

  • 5.1 Exponents
  • 5.2 Polynomial Functions and Adding and Subtracting Polynomials
  • 5.3 Multiplying Polynomials
  • 5.4 Special Products
  • 5.5 Negative Exponents and Scientific Notation
  • 5.6 Dividing Polynomials
  • 5.7 Synthetic Division and the Remainder Theorem 

6. Factoring Polynomials

  • 6.1 The Greatest Common Factor and Factoring by Grouping
  • 6.2 Factoring Trinomials of the Form  x2 + bx + c
  • 6.3 Factoring Trinomials of the Form  ax2 + bx + c and Perfect Square Trinomials
  • 6.4 Factoring Trinomials of the Form  ax2 + bx + c by Grouping
  • 6.5 Factoring Binomials
  • 6.6 Solving Quadratic Equations by Factoring
  • 6.7 Quadratic Equations and Problem Solving 

7. Rational Expressions

  • 7.1 Rational Functions and Simplifying Rational Expressions
  • 7.2 Multiplying and Dividing Rational Expressions
  • 7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator
  • 7.4 Adding and Subtracting Rational Expressions with Unlike Denominators
  • 7.5 Solving Equations Containing Rational Expressions
  • 7.6 Proportion and Problem Solving with Rational Equations
  • 7.7 Simplifying Complex Fractions

8. More on Functions and Graphs

  • 8.1 Graphing and Writing Linear Functions
  • 8.2 Reviewing Function Notation and Graphing Nonlinear Functions
  • 8.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
  • 8.4 Variation and Problem Solving

9. Inequalities and Absolute Value

  • 9.1 Compound Inequalities
  • 9.2 Absolute Value Equations
  • 9.3 Absolute Value Inequalities
  • 9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities

10. Rational Exponents, Radicals, and Complex Numbers

  • 10.1 Radicals and Radical Functions
  • 10.2 Rational Exponents
  • 10.3 Simplifying Radical Expressions
  • 10.4 Adding, Subtracting, and Multiplying Radical Expressions
  • 10.5 Rationalizing Denominators and Numerators of Radical Expressions
  • 10.6 Radical Equations and Problem Solving
  • 10.7 Complex Numbers 

11. Quadratic Equations and Functions

  • 11.1 Solving Quadratic Equations by Completing the Square
  • 11.2 Solving Quadratic Equations by the Quadratic Formula
  • 11.3 Solving Equations by Using Quadratic Methods
  • 11.4 Nonlinear Inequalities in One Variable
  • 11.5 Quadratic Functions and Their Graphs
  • 11.6 Further Graphing of Quadratic Functions 

12. Exponential and Logarithmic Functions

  • 12.1 The Algebra of Functions; Composite Functions
  • 12.2 Inverse Functions
  • 12.3 Exponential Functions
  • 12.4 Exponential Growth and Decay Functions
  • 12.5 Logarithmic Functions
  • 12.6 Properties of Logarithms
  • 12.7 Common Logarithms, Natural Logarithms, and Change of Base
  • 12.8 Exponential and Logarithmic Equations and Problem Solving

13. Conic Sections

  • 13.1 The Parabola and the Circle
  • 13.2 The Ellipse and the Hyperbola
  • 13.3 Solving Nonlinear Systems of Equations
  • 13.4 Nonlinear Inequalities and Systems of Inequalities

14. Sequences, Series, and the Binomial Theorem

  • 14.1 Sequences
  • 14.2 Arithmetic and Geometric Sequences
  • 14.3 Series
  • 14.4 Partial Sums of Arithmetic and Geometric Sequences
  • 14.5 The Binomial Theorem