Elementary and Intermediate Algebra
Note: Each chapter concludes with Chapter Review Exercises, Looking Back, and a Chapter Test. 1. The Real Number System 1.1 The Real Numbers; 1.2 Addition; 1.3 Subtraction; 1.4 Multiplication; 1.5 Division; 1.6 Exponents, Square Roots, Order of Operations; 1.7 Properties of the Real Numbers; Chapter Project: Air Pressure and Altitude 2. Expressions and Functions 2.1 Algebraic Expressions and Formulas; 2.2 Simplifying Expressions; 2.3 The Coordinate Plane; 2.4 Relations and Functions; 2.5 Functions: Notation and Evaluation; Chapter Project: Bicycle Helmet Usage Cumulative Test: Chapters 1-2 3. Linear Equations and Inequalities 3.1 Introduction to Linear Equations; 3.2 Solving Linear Equations; 3.3 Formulas; 3.4 Modeling and Problem Solving; 3.5 Applications; 3.6 Linear Inequalities; 3.7 Compound Inequalities; 3.8 Absolute Value: Equations and Inequalities; Chapter Project: Health Insurance 4. Properties of Lines 4.1 Linear Equations in Two Variables; 4.2 Slope of a Line; 4.3 Applications of Slope; 4.4 Equations of Lines; 4.5 Graphs of Linear Inequalities; Chapter Project: Bald Eagle Population 5. Systems of Linear Equations 5.1 The Graphing and Substitution Methods; 5.2 The Addition Method; 5.3 Systems of Equations in Three Variables; 5.4 Matrices and Systems of Equations; 5.5 Determinants and Cramer's Rule; 5.6 Applications; 5.7 Systems of Linear Inequalities; Chapter Project: Office Communications Cumulative Test: Chapters 3-5 6. Exponents and Polynomials 6.1 Properties of Exponents; 6.2 Zero and Negative Exponents; 6.3 Scientific Notation; 6.4 Polynomials; 6.5 Multiplication and Special Products; Chapter Project: Microgravity and Space Flight 7. Factoring 7.1 Common Factors and Grouping; 7.2 Special Factoring; 7.3 Factoring Trinomials of the Form ax2 + bx + c; 7.4 Solving Equations by Factoring; 7.5 Division; Chapter Project: Foreign Currency Exchange 8. Rational Expressions 8.1 Introduction to Rational Expressions; 8.2 Multiplication and Division; 8.3 Addition and Subtraction; 8.4 Complex Fractions; 8.5 Equations with Rational Expressions; 8.6 Applications; Chapter Project: Major League Salaries Cumulative Test: Chapters 6-8 9. Radical Expressions 9.1 Radicals; 9.2 Rational Exponents; 9.3 Properties of Rational Exponents; 9.4 The Product Rule for Radicals; 9.5 The Quotient Rule for Radicals; 9.6 Operations with Radicals; 9.7 Equations with Radicals and Exponents; 9.8 Complex Numbers; Chapter Project: Visitors to National Parks and Monuments 10. Quadratic Equations 10.1 Special Methods; 10.2 Completing the Square; 10.3 The Quadratic Formula; 10.4 Equations in Quadratic Form; 10.5 Applications; 10.6 Quadratic Functions; 10.7 Quadratic Inequalities; Chapter Project: Heart Attack Risks 11. Exponential and Logarithmic Functions 11.1 Algebra of Functions; 11.2 Inverse Functions; 11.3 Exponential Functions; 11.4 Logarithmic Functions; 11.5 Properties of Logarithms; 11.6 Logarithmic and Exponential Equations; Chapter Project: Telecommuting Cumulative Test: Chapter 9-11 Appendix: Conic Sections