• 1.1 Exponents, Order of Operations, and Inequality
  • Study Skills Taking Lecture Notes
• 1.2 Variables, Expressions, and Equations
  • Study Skills Reading Your Math Text
• 1.3 Real Numbers and the Number Line
  • Study Skills Using Study Cards
• 1.4 Adding Real Numbers
• 1.5 Subtracting Real Numbers
  • Study Skills Completing Your Homework
• 1.6 Multiplying and Dividing Real Numbers
  • Summary Exercises Performing Operations with Real Numbers
• 1.7 Properties of Real Numbers
• 1.8 Simplifying Expressions
  • Study Skills Reviewing a Chapter

• 2.1 The Addition Property of Equality
  • Study Skills Managing Your Time
• 2.2 The Multiplication Property of Equality
• 2.3 More on Solving Linear Equations
  • Study Skills Using Study Cards Revisited
  • Summary Exercises Applying Methods for Solving Linear Equations
• 2.4 An Introduction to Applications of Linear Equations
• 2.5 Formulas and Additional Applications from Geometry
• 2.6 Ratio, Proportion, and Percent
  • Summary Exercises Applying Problem-Solving Techniques
• 2.7 Solving Linear Inequalities
  • Study Skills Taking Math Tests

• 3.1 Linear Equations and Rectangular Coordinates
  • Study Skills Analyzing Your Test Results
• 3.2 Graphing Linear Equations in Two Variables
• 3.3 The Slope of a Line
• 3.4 Slope-Intercept Form of a Linear Equation
• 3.5 Point-Slope Form of a Linear Equation and Modeling
  • Summary Exercises Applying Graphing and
  • Equation-Writing Techniques for Lines
  • Study Skills Preparing for Your Math Final Exam
• 3.6 Graphing Linear Inequalities in Two Variables

• 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 Elimination
  • Summary Exercises Applying Techniques for Solving Systems of Linear Equations
• 4.4 Applications of Linear Systems
• 4.5 Solving Systems of Linear Inequalities

• 5.1 The Product Rule and Power Rules for Exponents
• 5.2 Integer Exponents and the Quotient Rule
  • Summary Exercises Applying the Rules for Exponents
• 5.3 An Application of Exponents: Scientific Notation
• 5.4 Adding and Subtracting Polynomials
• 5.5 Multiplying Polynomials
• 5.6 Special Products
• 5.7 Dividing a Polynomial by a Monomial
• 5.8 Dividing a Polynomial by a Polynomial

• 6.1 Greatest Common Factors; Factor by Grouping
• 6.2 Factoring Trinomials
• 6.3 Factoring Trinomials by Grouping
• 6.4 Factoring Trinomials Using the FOIL Method
• 6.5 Special Factoring Techniques
• 6.6 A General Approach to Factoring
• 6.7 Solving Quadratic Equations Using the Zero-Factor Property
• 6.8 Applications of Quadratic Equations

• 7.1 The Fundamental Property of Rational Expressions
• 7.2 Multiplying and Dividing Rational Expressions
• 7.3 Least Common Denominators
• 7.4 Adding and Subtracting Rational Expressions
• 7.5 Complex Fractions
• 7.6 Solving Equations with Rational Expressions
  • Summary Exercises Simplifying Rational Expressions vs. Solving Rational Equations
• 7.7 Applications of Rational Expressions
• 7.8 Variation

• 8.1 Review of Solving Linear Equations and Inequalities in one Variable
• 8.2 Set Operations and Compound Inequalities
• 8.3 Absolute Value Equations and Inequalities
  • Summary Exercises Solving Linear and Absolute Value Equations and Inequalities
• 8.4 Review of Graphing Linear Equations in Two Variables; Slope
• 8.6 Systems of Linear Equations in Three Variables; Applications

• 9.1 Introduction to Relations and Functions
• 9.2 Function Notation and Linear Functions
• 9.3 Polynomial Functions, Operations, and Graphs
• 9.4 Variation

• 10.1 Radical Expressions and Graphs
• 10.2 Rational Exponents
• 10.3 Simplifying Radical Expressions
• 10.4 Adding and Subtracting Radical Expressions
• 10.5 Multiplying and Dividing Radical Expressions
  • Summary Exercises Performing Operations with Radicals and Rational Exponents
• 10.6 Solving Equations with Radicals
• 10.7 Complex Numbers

• 11.1 Solving Quadratic Equations by the Square Root Property
• 11.2 Solving Quadratic Equations by Completing the Square
• 11.3 Solving Quadratic Equations by the Quadratic Formula
• 11.4 Equations Quadratic in Form
  • Summary Exercises Applying Methods for Solving Quadratic Equations
• 11.5 Formulas and Further Applications
• 11.6 Graphs of Quadratic Functions
• 11.7 More about Parabolas and Their Applications
• 11.8 Polynomial and Rational Inequalities

• 12.1 Composition of Functions
• 12.2 Inverse Functions
• 12.3 Exponential Functions
• 12.4 Logarithmic Functions
• 12.5 Properties of Logarithms
• 12.6 Common and Natural Logarithms
• 12.7 Exponential and Logarithmic Equations and Their Applications

• 13.1 Additional Graphs of Functions
• 13.2 Circles and Ellipses
• 13.3 Hyperbolas and Functions Defined by Radicals
• 13.4 Nonlinear Systems of Equations
• 13.5 Second-Degree Inequalities and Systems of Inequalities

Appendix A: Review of Exponents, Polynomials, and Factoring (Transition from Introductory to Intermediate Algebra)

Appendix B: Synthetic Division

Appendix C: Solving Systems of Linear Equations by Matrix Methods

Answers to Selected Exercises

Index