Interactive Developmental Mathematics: Prealgebra, Beginning 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 Whole Numbers; Area

1.4 Dividing Whole Numbers

1.5 Exponents and Order of Operations

1.6 Introduction to Variables, Algebraic Expressions, and Equations

2.1 Introduction to Integers

2.2 Adding Integers

2.3 Subtracting Integers

2.4 Multiplying and Dividing Integers

2.5 Order of Operations

2.6 Solving Equations: The Addition and Multiplication Properties

3.1 Simplifying Algebraic Expressions

3.2 Revisiting the Properties of Equality

3.3 Solving Linear Equations in One Variable

3.4 Using Linear Equations to Solve Problems

4. Fractions and Mixed Numbers

4.1 Introduction to Fractions and Mixed Numbers

4.2 Factors and Simplest Form

4.3 Multiplying and Dividing Fractions

4.4 Adding and Subtracting Fractions

4.5 Complex Fractions and Review of Order of Operations

4.6 Operations on Mixed Numbers

4.7 Solving Equations Containing Fractions

5. Decimals

5.1 Introduction to Decimals

5.2 Adding and Subtracting Decimals

5.3 Multiplying Decimals; Circumference

5.4 Dividing Decimals

5.5 Fractions, Decimals, and Order of Operations

5.6 Solving Equations Containing Decimals

6. Ratio and Proportions

6.1 Ratios, Rates, and Unit Prices

6.2 Proportions

6.3 Proportions and Problem Solving

6.4 Congruent and Similar Triangles

6.5 Square Roots and the Pythagorean Theorem

7. Percent

7.1 Percents, Decimals, and Fractions

7.2 Solving Percent Problems with Equations

7.3 Solving Percent Problems with Proportions

7.4 Applications of Percent

7.5 Percent and Problem Solving: Sales Tax, Commission, and Discount

7.6 Percent and Problem Solving: Interest 

8.1 Lines and Angles

8.2 Perimeter, Circumference, and Area

8.3 Volume and Surface Area

8.4 Linear Measurement

8.5 Weight and Mass

8.6 Capacity

8.7 Time and Temperature

9. Statistics

9.1 Mean, Median, and Mode

9.2 Histograms

9.3 Counting

9.4 Probability

10. Real Numbers and Algebraic Expressions

10.1 The Real Number System

10.2 Adding and Subtracting Real Numbers

10.3 Multiplying and Dividing Real Numbers

10.4 Exponents and Order of Operations

10.5 Variables and Properties of Real Numbers

10.6 Simplifying Algebraic Expressions 

11. Linear Equations and Inequalities in One Variable

11.1 The Addition and Multiplication Properties of Equality

11.2 Solving Linear Equations in One Variable

11.3 Introduction to Problem Solving

11.4 Formulas

11.5 Geometry and Uniform Motion Problem Solving

11.6 Percent and Mixture Problem Solving

11.7 Linear Inequalities in One Variable

11.8 Compound Inequalities

11.9 Absolute Value Equations and Inequalities

12. Graphs of Linear Equations and Inequalities in Two Variables

12.1 The Rectangular Coordinate System

12.2 Graphing Linear Equations in Two Variables

12.3 Slope

12.4 Equations of Lines

12.5 Linear Inequalities in Two Variables

13. Systems of Linear Equations and Inequalities

13.1 Solving Systems of Linear Equations by Graphing

13.2 Solving Systems of Linear Equations by Substitution

13.3 Solving Systems of Linear Equations by Elimination

13.4 Applications of Linear Systems

13.5 Systems of Linear Inequalities

13.6 Systems of Linear Equations in Three Variables 

14. Exponents and Polynomials

14.1 Exponents

14.2 Introduction to Polynomials

14.3 Adding and Subtracting Polynomials

14.4 Multiplying Polynomials

14.5 Special Products

14.6 Negative Exponents and Scientific Notation

14.7 Dividing Polynomials

14.8 Polynomials in Several Variables

15. Factoring Polynomials

15.1 Greatest Common Factor and Factoring by Grouping

15.2 Factoring Trinomials of the Form x2 + bx + c

15.3 Factoring Trinomials of the Form ax2 + bx + c Using Trial-and-Error

15.4 Factoring Trinomials of the Form ax2 + bx + c Using the ac Method

15.5 Factoring Special Forms

15.6 A General Factoring Strategy

15.7 Solving Polynomial Equations by Factoring

15.8 Applications of Quadratic Equations

16.1 Simplifying Rational Expressions

16.2 Multiplying and Dividing Rational Expressions

16.3 Least Common Denominators

16.4 Adding and Subtracting Rational Expressions

16.5 Complex Rational Expressions

16.6 Solving Rational Equations

16.7 Applications of Rational Equations

16.8 Variation 

17.1 Relations and Functions

17.2 Function Notation and the Algebra of Functions

17.3 Graphs of Functions and Their Applications

18.1 Radical Expressions

18.2 Radical Functions

18.3 Rational Exponents and Simplifying Radical Expressions

18.4 Operations with Radicals

18.5 Radical Equations and Models

18.6 Complex Numbers

19.1 Solving Quadratic Equations

19.2 Quadratic Functions and Their Graphs

19.3 Applications and Modeling of Quadratic Functions

19.4 Circles

19.5 Polynomial and Rational Inequalities

20.1 Transformations of Functions

20.2 Composite and Inverse Functions

20.3 Exponential Functions

20.4 The Natural Exponential Function

20.5 Logarithmic Functions

20.6 Properties of Logarithms

20.7 Exponential and Logarithmic Equations

20.8 Applications of Exponential and Logarithmic Functions

21.1 Introduction to Conic Sections; The Parabola

21.2 The Ellipse

21.3 The Hyperbola 

22.1 Introduction to Sequences and Series

22.2 Arithmetic Sequences and Series

22.3 Geometric Sequences and Series

22.4 The Binomial Theorem

23. Additional Topics

23.1 Synthetic Division

23.2 Solving Systems of Linear Equations Using Matrices

23.3 Determinants and Cramer’s Rule

Appendix A: Tables

A.1 Geometric Figures

A.2 Percent, Decimal, and Fraction Equivalents

A.3 Finding Common Percents of a Number

A.4 Squares and Square Roots

A.5 Measurement Conversions and Temperature Formulas