Exploring Intermediate Algebra: A Graphing Approach
Note: Each chapter begins with a Prep Test and includes a Chapter Summary, Chapter Review Exercises, and a Chapter Test. Chapters 2-10 conclude with Cumulative Review Exercises. 1. Fundamental Concepts Section 1.1 Problem Solving Section 1.2 Sets Section 1.3 Evaluating Variable Expressions Using Integers Section 1.4 Evaluating Variable Expressions Using Rational Numbers Section 1.5 Simplifying Variable Expressions 2. Introduction to Functions and Relations Section 2.1 Rectangular Coordinates and Graphs Section 2.2 Relations and Functions Section 2.3 Properties of Functions 3. First-Degree Equations and Inequalities Section 3.1 Solving First-Degree Equations Section 3.2 Applications of First-Degree Equations Section 3.3 Applications to Geometry Section 3.4 Inequalities in One Variable Section 3.5 Absolute Value Equations and Inequalities 4. Linear Functions Section 4.1 Slopes and Graphs of Linear Functions Section 4.2 Finding Equations of Straight Lines Section 4.3 Linear Regression Section 4.4 Linear Inequalities in Two Variables 5. Systems of Linear Equations and Inequalities Section 5.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method Section 5.2 Solving Systems of Linear Equations by the Addition Method Section 5.3 Solving Systems of Linear Equations Using Matrices Section 5.4 Systems of Linear Inequalities and Linear Programming 6. Polynomials Section 6.1 Operations on Monomials and Scientific Notation Section 6.2 Addition and Subtraction of Polynomials Section 6.3 Multiplication and Division of Polynomials Section 6.4 Factoring Polynomials Section 6.5 Special Factoring Section 6.6 Solving Equations by Factoring 7. Rational Expressions and Equations Section 7.1 Introduction to Rational Expressions Section 7.2 Operations on Rational Expressions Section 7.3 Rational Equations Section 7.4 Proportions and Similar Triangles Section 7.5 Variation 8. Radical Expressions and Rational Exponents Section 8.1 Rational Exponents and Radical Expressions Section 8.2 Simplifying Radical Expressions Section 8.3 The Pythagorean Theorem Section 8.4 Operations on Radical Expressions Section 8.5 Radical Functions Section 8.6 Solving Radical Equations Section 8.7 Complex Numbers 9. Quadratic Functions and Quadratic Inequalities Section 9.1 Introduction to Quadratic Equations Section 9.2 Solving Quadratic Equations by Taking Square Roots and by Completing the Square Section 9.3 Solving Quadratic Equations by Using the Quadratic Formula and by Graphing Section 9.4 Equations That Are Quadratic in Form Section 9.5 Quadratic Functions Section 9.6 Quadratic Inequalities 10. Exponential and Logarithmic Functions Section 10.1 Algebra of Functions Section 10.2 Inverse Functions Section 10.3 Exponential Functions Section 10.4 Exponential Models and Exponential Regression Section 10.5 Logarithmic Functions Section 10.6 Properties of Logarithms Section 10.7 Exponential and Logarithmic Equations Additional Topics in Algebra Section 1 Introduction to Sequences and Series Section 2 Binomial Expansions Section 3 Conic Sections Appendix A. Keystroke Guide for the TI-83 and TI-83 Plus