Intermediate Algebra

Note: Each chapter is preceded by Motivating the Chapter, includes a Mid-Chapter Quiz, and concludes with What Did You Learn? (Chapter Summary), Review Exercises, and a Chapter Test. 1. Fundamentals of Algebra 1.1 The Real Number System 1.2 Operations with Real Numbers 1.3 Properties of Real Numbers 1.4 Algebraic Expressions 1.5 Constructing Algebraic Expressions 2. Linear Equations and Inequalities 2.1 Linear Equations 2.2 Linear Equations and Problem Solving 2.3 Business and Scientific Problems 2.4 Linear Inequalities 2.5 Absolute Value Equations and Inequalities 3. Graphs and Functions 3.1 The Rectangular Coordinate System 3.2 Graphs of Equations 3.3 Slope and Graphs of Linear Equations 3.4 Equations of Lines 3.5 Graphs of Linear Inequalities 3.6 Relations and Functions 3.7 Graphs of Functions 4. Systems of Equations and Inequalities 4.1 Systems of Equations 4.2 Linear Systems in Two Variables 4.3 Linear Systems in Three Variables 4.4 Matrices and Linear Systems 4.5 Determinants and Linear Systems 4.6 Systems of Linear Inequalities Cumulative Test: Chapters 1-4 5. Polynomials and Factoring 5.1 Integer Exponents and Scientific Notation 5.2 Adding and Subtracting Polynomials 5.3 Multiplying Polynomials 5.4 Factoring by Grouping and Special Forms 5.5 Factoring Trinomials 5.6 Solving Polynomial Equations by Factoring 6. Rational Expressions, Equations, and Functions 6.1 Rational Expressions and Functions 6.2 Multiplying and Dividing Rational Expressions 6.3 Adding and Subtracting Rational Expressions 6.4 Complex Fractions 6.5 Dividing Polynomials and Synthetic Division 6.6 Solving Rational Equations 6.7 Applications and Variation 7. Radicals and Complex Numbers 7.1 Radicals and Rational Exponents 7.2 Simplifying Radical Expressions 7.3 Adding and Subtracting Radical Expressions 7.4 Mulitplying and Dividing Radical Expressions 7.5 Radical Equations and Applications 7.6 Complex Numbers Cumulative Test: Chapters 5-7 8. Quadratic Equations, Functions, and Inequalities 8.1 Solving Quadratic Equations: Factoring and Special Forms 8.2 Completing the Square 8.3 The Quadratic Formula 8.4 Graphs of Quadratic Functions 8.5 Applications of Quadratic Equations 8.6 Quadratic and Rational Inequalities 9. Exponential and Logarithmic Functions 9.1 Exponential Functions 9.2 Composite and Inverse Functions 9.3 Logarithmic Functions 9.4 Properties of Logarithms 9.5 Solving Exponential and Logarithmic Equations 9.6 Applications 10. Conics 10.1 Circles and Parabolas 10.2 Ellipses 10.3 Hyperbolas 10.4 Solving Nonlinear Systems of Equations Cumulative Test: Chapters 8-10 11. Sequences, Series, and the Binomial Theorem 11.1 Sequences and Series 11.2 Arithmetic Sequences 11.3 Geometric Sequences and Series 11.4 The Binomial Theorem Appendix A. Introduction to Graphing Calculators Appendix B. Further Concepts in Geometry (web) B.1 Exploring Congruence and Similarity B.2 Angles Appendix C. Further Concepts in Statistics (web) Appendix D. Introduction to Logic (web) D.1 Statements and Truth Tables D.2 Implications, Quantifiers, and Venn Diagrams D.3 Logical Arguments Appendix E. Counting Principles (web) Appendix F. Probability (web) Answers to Odd-Numbered Exercises, Quizzes, and Tests Index of Applications Index