Basic College Mathematics, 2e

Chapter 1: Whole Numbers

1.1 Introduction to Whole Numbers

1.2 Addition of Whole Numbers and Perimeter

1.3 Subtraction of Whole Numbers

1.4 Rounding and Estimating

1.5 Multiplication of Whole Numbers and Area

1.6 Division of Whole Numbers

Problem Recognition Exercises – Operations on Whole Numbers

1.7 Exponents, Square Roots, and the Order of Operations

1.8 Problem-Solving Strategies

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Test

Chapter 2: Fractions and Mixed Numbers: Multiplication and Division

2.1 Introduction to Fractions and Mixed Numbers

2.2 Prime Numbers and Factorizations

2.3 Simplifying Fractions to Lowest Terms

2.4 Multiplication of Fractions and Applications

2.5 Division of Fractions and Applications

Problem Recognition Exercises – Multiplication and Division of Fractions

2.6 Multiplication and Division of Mixed Numbers

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Test

Cumulative Review Exercises Chapters 1 – 2

Chapter 3: Fractions and Mixed Numbers: Addition and Subtraction

3.1 Addition and Subtraction of Like Fractions

3.2 Least Common Multiple

3.3 Addition and Subtraction of Unlike Fractions

3.4 Addition and Subtractions of Mixed Numbers

Problem Recognition Exercises – Operations on Fractions and Mixed Numbers

3.5 Order of Operations and Applications of Fractions and Mixed Numbers

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Test

Cumulative Review Exercises Chapters 1 – 3

Chapter 4: Decimals

4.1 Decimal Notation and Rounding

4.2 Addition and Subtraction of Decimals

4.3 Multiplication of Decimals

4.4 Division of Decimals

Problem Recognition Exercises – Operations on Decimals

4.5 Fractions as Decimals

4.6 Order of Operations and Applications of Decimals

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Test

Cumulative Review Exercises Chapters 1 – 4

Chapter 5: Ratio and Proportion

5.1 Ratios

5.2 Rates

5.3 Proportions

5.4 Applications of Proportions and Similar Figures

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Test

Cumulative Review Exercises Chapters 1 – 5

Chapter 6: Percents

6.1 Percents and Their Fraction and Decimal Forms

6.2 Fractions and Decimals and Their Percent Forms

6.3 Percent Proportions and Applications

6.4 Percent Equations and Applications

Problem Recognition Exercises -- Percents

6.5 Applications Involving Sales Tax, Commission, Discount, and Markup

6.6 Percent Increase and Decrease

6.7 Simple and Compound Interest

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Test

Cumulative Review Exercises Chapters 1 – 6

Chapter 7: Measurement

7.1 Converting U.S. Customary Units of Length

7.2 Converting U.S. Customary Units of Time, Weight, and Capacity

7.3 Metric Units of Length

7.4 Metric Units of Mass and Capacity and Medical Applications

Problem Recognition Exercises – U.S. Customary and Metric Conversion

7.5 Converting Between U.S. Customary and Metric Units

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Test

Cumulative Review Exercises Chapters 1 – 7

Chapter 8: Geometry

8.1 Lines and Angles

8.2 Triangles and the Pythagorean Theorem

8.3 Quadrilaterals, Perimeter, and Area

8.4 Circles, Circumference, and Area

Problem Recognition Exercises – Area, Perimeter, and Circumference

8.5 Volume

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Test

Cumulative Review Exercises Chapters 1 – 8

Chapter 9: Introduction to Statistics

9.1 Tables, Bar Graphs, Pictographs, and Line Graphs

9.2 Frequency Distributions and Histograms

9.3 Circle Graphs

9.4 Mean, Median, and Mode

9.5 Introduction to Probability

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Test

Cumulative Review Exercises Chapters 1 – 9

Chapter 10: Real Numbers

10.1 Real Numbers and the Real Number Line

10.2 Addition of Real Numbers

10.3 Subtraction of Real Numbers

Problem Recognition Exercises – Addition and Subtraction of Real Numbers

10.4 Multiplication and Division of Real Numbers

Problem Recognition Exercises – Operations on Real Numbers

10.5 Order of Operations

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Test

Cumulative Review Exercises Chapters 1 – 10

Chapter 11: Solving Equations

11.1 Properties of Real Numbers

11.2 Simplifying Expressions

11.3 Addition and Subtraction Properties of Equality

11.4 Multiplication and Division Properties of Equality

11.5 Solving Equations with Multiple Steps

Problem Recognition Exercises – Solving Equations

11.6 Applications and Problem Solving

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Test

Cumulative Review Exercises Chapters 1 – 11