Developmental Mathematics with Applications and Visualization Prealgebra, Beginning Algebra, and Intermediate Algebra 2nd Edition by Gary K. Rockswold

1. Whole Numbers 1.1 Introduction to Whole Numbers 1.2 Adding and Subtracting Whole Numbers; Perimeter 1.3 Multiplying and Dividing Whole Numbers; Area 1.4 Exponents, Variables, and Algebraic Expressions 1.5 Rounding and Estimating; Square Roots 1.6 Order of Operations 1.7 More with Equations and Problem Solving 2. Integers 2.1 Integers and the Number Line 2.2 Adding Integers 2.3 Subtracting Integers 2.4 Multiplying and Dividing Integers 2.5 Order of Operations; Averages 2.6 Solving Equations That Have Integer Solutions 3. Algebraic Expressions and Linear Equations 3.1 Simplifying Algebraic Expressions 3.2 Translating Words to Expressions and Equations 3.3 Properties of Equality 3.4 Solving Linear Equations in One Variable 3.5 Applications and Problem Solving 4. Fractions 4.1 Introduction to Fractions and Mixed Numbers 4.2 Prime Factorization and Lowest Terms 4.3 Multiplying and Dividing Fractions 4.4 Adding and Subtracting Fractions–Like Denominators 4.5 Adding and Subtracting Fractions–Unlike Denominators 4.6 Operations on Mixed Numbers 4.7 Complex Fractions and Order of Operations 4.8 Solving Equations Involving Fractions 5. Decimals 5.1 Introduction to Decimals 5.2 Adding and Subtracting Decimals 5.3 Multiplying and Dividing Decimals 5.4 Real Numbers, Square Roots, and Order of Operations 5.5 Solving Equations Involving Decimals 5.6 Applications from Geometry and Statistics 6. Ratios, Proportions, and Measurement 6.1 Ratios and Rates 6.2 Proportions and Similar Figures 6.3 The U.S. System of Measurement 6.4 The Metric System of Measurement 6.5 U.S.-Metric Conversions; Temperature 6.6 Time and Speed 7. Percents 7.1 Introduction to Percent; Circle Graphs 7.2 Using Equations to Solve Percent Problems 7.3 Using Proportions to Solve Percent Problems 7.4 Applications: Sales Tax, Discounts, and Net Pay 7.5 Applications: Simple and Compound Interest 7.6 Probability and Percent Chance 8. Geometry 8.1 Plane Geometry: Points, Lines, and Angles 8.2 Triangles 8.3 Polygons and Circles 8.4 Perimeter and Circumference 8.5 Area, Volume, and Surface Area 9. Linear Equations and Inequalities in One Variable 9.1 Review of Linear Equations in One Variable 9.2 Further Problem Solving 9.3 Linear Inequalities in One Variable 10. Graphing Equations 10.1 Introduction to Graphing 10.2 Equations in Two Variables 10.3 Intercepts; Horizontal and Vertical Lines 10.4 Slope and Rates of Change 10.5 Slope-Intercept Form 10.6 Point-Slope Form 10.7 Introduction to Modeling 11. Systems of Linear Equations in Two Variables 11.1 Solving Systems of Linear Equations Graphically and Numerically 11.2 Solving Systems of Linear Equations by Substitution 11.3 Solving Systems of Linear Equations by Elimination 11.4 Systems of Linear Inequalities 12. Polynomials and Exponents 12.1 Rules for Exponents 12.2 Addition and Subtraction of Polynomials 12.3 Multiplication of Polynomials 12.4 Special Products 12.5 Integer Exponents and the Quotient Rule 12.6 Division of Polynomials 13. Factoring Polynomials and Solving Equations 13.1 Introduction to Factoring 13.2 Factoring Trinomials I (x2 + bx + c) 13.3 Factoring Trinomials II (ax2 + bx + c) 13.4 Special Types of Factoring 13.5 Summary of Factoring 13.6 Solving Equations by Factoring I (Quadratics) 13.7 Solving Equations by Factoring II (Higher Degree) 14. Rational Expressions 14.1 Introduction to Rational Expressions 14.2 Multiplication and Division of Rational Expressions 14.3 Addition and Subtraction with Like Denominators 14.4 Addition and Subtraction with Unlike Denominators 14.5 Complex Fractions 14.6 Rational Equations and Formulas 14.7 Proportions and Variation 15. Introduction to Functions 15.1 Functions and Their Representations 15.2 Linear Functions 15.3 Compound Inequalities and Piecewise-Defined Functions 15.4 Other Functions and Their Properties 15.5 Absolute Value Equations and Inequalities 16. Systems of Linear Equations 16.1 Systems of Linear Equations in Three Variables 16.2 Matrix Solutions of Linear Systems 16.3 Determinants 17. Radical Expressions and Functions 17.1 Radical Expressions and Functions 17.2 Rational Exponents 17.3 Simplifying Radical Expressions 17.4 Operations on Radical Expressions 17.5 More Radical Functions 17.6 Equations Involving Radical Expressions 17.7 Complex Numbers 18. Quadratic Functions and Equations 18.1 Quadratic Functions and Their Graphs 18.2 Transformations and Translations of Parabolas 18.3 Quadratic Equations 18.4 The Quadratic Formula 18.5 Quadratic Inequalities 18.6 Equations in Quadratic Form 19. Exponential and Logarithmic Functions 19.1 Composite and Inverse Functions 19.2 Exponential Functions 19.3 Logarithmic Functions 19.4 Properties of Logarithms 19.5 Exponential and Logarithmic Equations 20. Conic Sections 20.1 Parabolas and Circles 20.2 Ellipses and Hyperbolas 20.3 Nonlinear Systems of Equations and Inequalities 21. Sequences and Series 21.1 Sequences 21.2 Arithmetic and Geometric Sequences 21.3 Series 21.4 The Binomial Theorem Appendix A: Using the Graphing Calculator Appendix B: Sets Appendix C: Linear Programming Appendix D: Synthetic Division Appendix E: Using a Calculator