Exploring Introductory and Intermediate Algebra

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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. Chapter 1. Fundamental Concepts Section 1.1 Problem Solving Section 1.2 Sets Section 1.3 Operations on Integers Section 1.4 Operations on Rational Numbers Section 1.5 Evaluating Variable Expressions Section 1.6 Simplifying Variable Expressions Chapter 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 Chapter 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 Chapter 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 Chapter 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 Chapter 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 Chapter 7. Factoring Section 7.1 Common Factors of a Polynomial Section 7.2 Factoring Trinomials of the Form ax2 + bx + c Section 7.3 Special Factoring Section 7.4 Solving Equations by factoring Chapter 8. Rational Expressions and Equations Section 8.1 Introduction to Rational Expressions Section 8.2 Operations on Rational Expressions Section 8.3 Rational Equations Section 8.4 Proportions and Similar Triangles Chapter 9. Radical Expressions and Rational Exponents Section 9.1 Rational Exponents and Radical Expressions Section 9.2 Simplifying Radical Expressions Section 9.3 The Pythagorean Theorem Section 9.4 Operations on Radical Expressions Section 9.5 Radical Functions Section 9.6 Solving Radical Equations Section 9.7 Complex Numbers Chapter 10. Quadratic Functions and Quadratic Inequalities Section 10.1 Introduction to Quadratic Equations Section 10.2 Solving Quadratic Equations by Taking Square Roots and by Completing the Square Section 10.3 Solving Quadratic Equations by Using the Quadratic Formula and by Graphing Section 10.4 Equations That Are Quadratic in Form Section 10.5 Quadratic Functions Section 10.6 Quadratic Inequalities Chapter 11. Exponential and Logarithmic Functions Section 11.1 Algebra of Functions Section 11.2 Inverse Functions Section 11.3 Exponential Functions Section 11.4 Exponential Models and Exponential Regression Section 11.5 Logarithmic Functions Section 11.6 Properties of Logarithms Section 11.7 Exponential and Logarithmic Equations Chapter R. Review of Introductory Algebra Topics Section R.1 Variable Expressions Section R.2 Equations and Inequalities Section R.3 Linear Equatinos in Two Variables Section R.4 Polynomials Appendix A. Keystroke Guide for the TI-83 and TI-83 Plus