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• Chapter 1: Review of Real Numbers
  
  1.1 Introduction to Real Numbers
  1.2 Operations on Rational Numbers
  1.3 Variable Expressions
  1.4 Verbal Expressions and Variable Expressions
  
  
• Chapter 2: First-Degree Equations and Inequalities
  
  2.1 Equations in One Variable
  2.2 Coin, Stamp, and Integer Problems
  2.3 Value Mixture and Motion Problems
  2.4 Applications: Problems Involving Percent
  2.5 Inequalities in One Variable
  2.6 Absolute Value Equations and Inequalities
  
  
• Chapter 3: Linear Functions and Inequalities in Two Variables
  
  3.1 The Rectangular Coordinate System
  3.2 Introduction to Functions
  3.3 Linear Functions
  3.4 Slope of a Straight Line
  3.5 Finding Equations of Lines
  3.6 Parallel and Perpendicular Lines
  3.7 Inequalities in Two Variables
  
  
• Chapter 4: Systems of Equations and Inequalities
  
  4.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method
  4.2 Solving Systems of Linear Equations by the Addition Method
  4.3 Solving Systems of Equations by using Determinants and by using Matrices
  4.4 Application Problems
  4.5 Solving Systems of Linear Inequalities
  
  
• Chapter 5: Polynomials and Exponents
  
  5.1 Exponential Expressions
  5.2 Introduction to Polynomials
  5.3 Multiplication of Polynomials
  5.4 Division of Polynomials
  5.5 Factoring Polynomials
  5.6 Special Factoring
  5.7 Solving Equations by Factoring
  
  
• Chapter 6: Rational Expressions
  
  6.1 Introduction to Rational Functions
  6.2 Operations on Rational Expressions
  6.3 Complex Fractions
  6.4 Rational Equations
  6.5 Proportions and Variation
  6.6 Literal Equations
  
  
• Chapter 7: Rational Exponents and Radicals
  
  7.1 Rational Exponents and Radical Expressions
  7.2 Operations on Radical Expressions
  7.3 Radical Functions
  7.4 Solving Equations Containing Radical Expressions
  7.5 Complex Numbers
  
  
• Chapter 8: Quadratic Equations and Inequalities
  
  8.1 Solving Quadratic Equations by Factoring or by Taking Square Roots
  8.2 Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula
  8.3 Equations that are Reducible to Quadratic Equations
  8.4 Applications of Quadratic Equations
  8.5 Nonlinear Inequalities
  8.6 Properties of Quadratic Functions
  8.7 Applications of Quadratic Functions
  
  
• Chapter 9: Functions and Relations
  
  9.1 Graphs of Functions
  9.2 Translations of Graphs
  9.3 Algebra of Functions
  9.4 One-to-One and Inverse Functions
  
  
• Chapter 10: Exponential and Logarithmic Functions
  
  10.1 Exponential Functions
  10.2 Introduction to Logarithms
  10.3 Graphs of Logarithmic Functions
  10.4 Exponential and Logarithmic Equations
  10.5 Logarithmic Functions
  
  
• Chapter 11: Sequences and Series
  
  11.1 Introduction to Sequences and Series
  11.2 Arithmetic Sequences and Series
  11.3 Geometric Sequences and Series
  11.4 Binomial Expansions
  
  
• Chapter 12: Conic Sections
  
  12.1 The Parabola
  12.2 The Circle
  12.3 The Ellipse and the Hyperbola
  12.4 Solving Nonlinear Systems of Equations
  12.5 Quadratic Inequalities and Systems of Inequalities