## Table of Contents

Preface

Supplements List

Acknowledgments

To the Student

About the Author

**1. Numerical Pathways**

1.1 Number Theory: Prime and Composite Numbers

1.2 The Integers; Order of Operations

1.3 The Rational Numbers

1.4 The Irrational Numbers

1.5 Real Numbers and Their Properties

1.6 Exponents and Scientific Notation

1.7 Arithmetic and Geometric Sequences

Chapter Summary, Review, and Test

Chapter 1 Test

**2. Algebraic Pathways: Equations and Inequalities**

2.1 Algebraic Expressions and Formulas

2.2 Linear Equations in One Variable

2.3 Applications of Linear Equations

2.4 Ratios, Rates and Proportions

2.5 Modeling Using Variation

2.6 Linear Inequalities in One Variable

Chapter Summary, Review, and Test

Chapter 2 Test

**3. Algebraic Pathways: Graphs, Functions, Linear Functions, and Linear Systems**

3.1 Graphing and Functions

3.2 Linear Functions and Their Graphs

3.3 The Point-Slope Form of the Equation of a Line; Scatter Plots and Regression Lines

3.4 Systems of Linear Equations in Two Variables

3.5 Linear Inequalities in Two Variables

Chapter Summary, Review, and Test

Chapter 3 Test

**4. Algebraic Pathways: Polynomials, Quadratic Equations, and Quadratic Functions**

4.1 Operations with Polynomials; Polynomial Functions

4.2 Factoring Polynomials

4.3 Solving Quadratic Equations by Factoring

4.4 Solving Quadratic Equations by the Square Root Property and the Quadratic Formula

4.5 Quadratic Functions and Their Graphs

Chapter Summary, Review, and Test

Chapter 4 Test

**5. Geometric Pathways: Measurement**

5.1 Measuring Length; The Metric System

5.2 Measuring Area and Volume

5.3 Measuring Weight and Temperature

Chapter Summary, Review, and Test

Chapter 5 Test

**6. Geometric Pathways**

6.1 Points, Lines, Planes, and Angles

6.2 Triangles

6.3 Polygons, Perimeter, and Tessellations

6.4 Area and Circumference

6.5 Volume

Chapter Summary, Review, and Test

Chapter 6 Test

**7. Pathways to Probability: Counting Methods and Probability Theory**

7.1 The Fundamental Counting Principle

7.2 Permutations

7.3 Combinations

7.4 Fundamentals of Probability

7.5 Probability with the Fundamental Counting Principle, Permutations, and Combinations

7.6 Events Involving *Not* and *Or*; Odds

7.7 Events Involving *And*; Conditional Probability

Chapter Summary, Review, and Test

Chapter 7 Test

**8. Statistical Pathways**

8.1 Sampling, Frequency Distributions, and Graphs

8.2 Measures of Central Tendency

8.3 Measures of Dispersion

8.4 The Normal Distribution

Chapter Summary, Review, and Test

Chapter 8 Test

**Appendices**

A. Basics of Percent

B. Applications of Percent

C. Bar, Line, and Circle Graphs

D. Sets, Venn Diagrams, and Set Operations

Answers to Selected Exercises

Subject Index

Index of Applications

Credits