Developmental Mathematics with Applications and Visualization: Prealgebra, Beginning Algebra, and Intermediate Algebra, 2nd edition

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

Appendices

• A: Using the Graphing Calculator
• B: Sets
• C: Linear Programming
• D: Synthetic Division
• E: Using a Calculator