Elementary and intermediate algebra Book

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. The Real Number System 1.1 Real Numbers: Order and Absolute Value 1.2 Adding and Subtracting Integers 1.3 Multiplying and Dividing Integers 1.4 Operations with Rational Numbers 1.5 Exponents, Order of Operations, and Properties of Real Numbers 2. Fundamentals of Algebra 2.1 Writing and Evaluating Algebraic Expressions 2.2 Simplifying Algebraic Expressions 2.3 Algebra and Problem Solving 2.4 Introduction to Equations 3. Equations, Inequalities, and Problem Solving 3.1 Solving Linear Equations 3.2 Equations That Reduce to Linear Form 3.3 Problem Solving with Percents 3.4 Ratios and Proportions 3.5 Geometric and Scientific Applications 3.6 Linear Inequalities 3.7 Absolute Value Equations and Inequalities Cumulative Test: Chapters 1-3 4. Graphs and Functions 4.1 Ordered Pairs and Graphs 4.2 Graphs of Equations in Two Variables 4.3 Relations, Functions, and Graphs 4.4 Slope and Graphs of Linear Equations 4.5 Equations of Lines 4.6 Graphs of Linear Inequalities 5. Exponents and Polynomials 5.1 Integer Exponents and Scientific Notation 5.2 Adding and Subtracting Polynomials 5.3 Multiplying Polynomials: Special Products 5.4 Dividing Polynomials and Synthetic Division 6. Factoring and Solving Equations 6.1 Factoring Polynomials with Common Factors 6.2 Factoring Trinomials 6.3 More About Factoring Trinomials 6.4 Factoring Polynomials with Special Forms 6.5 Solving Polynomial Equations by Factoring Cumulative Test: Chapters 4-6 7. Rational Expressions, Equations, and Functions 7.1 Rational Expressions and Functions 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions 7.4 Complex Fractions 7.5 Solving Rational Equations 7.6 Applications and Variation 8. Systems of Equations and Inequalities 8.1 Solving Systems of Equations by Graphing and Substitution 8.2 Solving Systems of Equations by Elimination 8.3 Linear Systems in Three Variables 8.4 Matrices and Linear Systems 8.5 Determinants and Linear Systems 8.6 Systems of Linear Inequalities 9. Radicals and Complex Numbers 9.1 Radicals and Rational Exponents 9.2 Simplifying Radical Expressions 9.3 Adding and Subtracting Radical Expressions 9.4 Mulitplying and Dividing Radical Expressions 9.5 Radical Equations and Applications 9.6 Complex Numbers Cumulative Test: Chapters 7-9 10. Quadratic Equations, Functions, and Inequalities 10.1 Solving Quadratic Equations: Factoring and Special Forms 10.2 Completing the Square 10.3 The Quadratic Formula 10.4 Graphs of Quadratic Functions 10.5 Applications of Quadratic Equations 10.6 Quadratic and Rational Inequalities 11. Exponential and Logarithmic Functions 11.1 Exponential Functions 11.2 Composite and Inverse Functions 11.3 Logarithmic Functions 11.4 Properties of Logarithms 11.5 Solving Exponential and Logarithmic Equations 11.6 Applications 12. Conics 12.1 Circles and Parabolas 12.2 Ellipses 12.3 Hyperbolas 12.4 Solving Nonlinear Systems of Equations Cumulative Test: Chapters 10-12 13. Sequences, Series, and the Binomial Theorem 13.1 Sequences and Series 13.2 Arithmetic Sequences 13.3 Geometric Sequences and Series 13.4 The Binomial Theorem Appendix A. Review of Elementary Algebra Topics A.1 The Real Number System A.2 Fundamentals of Algebra A.3 Equations, Inequalities, and Problem Solving A.4 Graphs and Functions A.5 Exponents and Polynomials A.6 Factoring and Solving Equations Appendix B. Introduction to Graphing Calculators Appendix C. Further Concepts in Geometry (web) C.1 Exploring Congruence and Similarity C.2. Angles Appendix D. Further Concepts in Statistics (web) Appendix E. Introduction to Logic (web) E.1 Statements and Truth Tables E.2. Implications, Quantifiers, and Venn Diagrams E.3. Logical Arguments Appendix F. Counting Principles (web) Appendix G. Probability (web) Additional Answers Technology Answers Index of Applications Index