College Mathematics

1. Review of Basic Concepts

1–1 Basic Operations with Whole Numbers and Decimals

1–2 Exponents, Roots, and Powers of 10

1–3 Order of Operations and Problem Solving

 

2. Review of Fractions

2–1 Multiples and Factors

2–2 Equivalent Fractions and Decimals

2–3 Adding and Subtracting Fractions and Mixed Numbers

2–4 Multiplying and Dividing Fractions and Mixed Numbers

 

3. Percents

3–1 Percent and Number Equivalents

3–2 Percentage Problems

3–3 Increase and Decrease

Chapters 1–3 Cumulative Practice Test

 

4. Measurement

4–1 The U.S. Customary System of Measurement

4–2 Introduction to the Metric System

4–3 Time, Temperature, and Other Measures

4–4 Metric–U.S. Customary Comparisons

4–5 Accuracy, Precision, Error, and Measuring Instruments

 

5. Signed Numbers and Powers of 10

5–1 Adding Signed Numbers

5–2 Subtracting Signed Numbers

5–3 Multiplying and Dividing Signed Numbers

5–4 Signed Rational Numbers

5–5 Powers of 10

5–6 Scientific Notation

6. Statistics

6–1 Reading Circle, Bar, and Line Graphs

6–2 Measures of Central Tendency

6–3 Measures of Dispersion

6–4 Counting Techniques and Simple Probabilities

Chapters 4–6 Cumulative Practice Test

 

7. Linear Equations and Inequalities

7–1 Variable Notation

7–2 Solving Linear Equations

7–3 Solving Linear Equations with Fractions and Decimals by Clearing the Denominators

7–4 Inequalities and Sets

7–5 Solving Linear Inequalities

7–6 Solving Compound Inequalities

 

8. Formulas, Proportion, and Variation

8–1 Formulas

8–2 Proportion

8–3 Direct and Joint Variation

8–4 Inverse and Combined Variation

Linear Equations, Functions, and Inequalities in Two Variables

 

9. Linear Equations, Functions, and Inequalities in Two Variables

9–1 Graphical Representation of Linear Equations and Functions

9–2 Graphing Linear Equations and Inequalities in Two Variables Using Alternative Methods

9–3 Slope

9–4 Linear Equation of a Line

 

10. Systems of Linear Equations

10–1 Solving Systems of Linear Equations and Inequalities Graphically

10–2 Solving Systems of Linear Equations Using the Addition Method

10–3 Solving Systems of Linear Equations Using the Substitution Method

10–4 Problem Solving Using Systems of Linear Equations

Chapters 7–10 Cumulative Practice Test

 

11. Powers and Polynomials

11–1 Laws of Exponents

11–2 Polynomials

11–3 Basic Operations with Polynomials

 

12. Roots and Radicals

12–1 Irrational Numbers and Real Numbers

12–2 Simplifying Irrational Expressions 528

12–3 Basic Operations with Square-Root Radicals

12–4 Complex and Imaginary Numbers

 

13. Factoring

13–1 The Distributive Property and Common Factors 554

13–2 Factoring Special Products 557

13–3 Factoring General Trinomials 562

 

14. Rational Expressions, Equations, and Inequalities

14–1 Simplifying Rational Expressions

14–2 Multiplying and Dividing Rational Expressions

14–3 Adding and Subtracting Rational Expressions

14–4 Solving Equations and Inequalities with Rational Expressions

 

15. Quadratic and Other Nonlinear Equations and Inequalities

15–1 Solving Quadratic Equations by the Square-Root Method

15–2 Solving Quadratic Equations by Factoring

15–3 Solving Quadratic Equations by Completing the Square or Using the Formula

15–4 Graphing Quadratic Functions

15–5 Solving Higher-Degree Equations by Factoring

15–6 Solving Quadratic Inequalities

15–7 Solving Equations and Inequalities Containing One Absolute-Value Term

Chapters 11–15 Cumulative Practice Test

 

16. Exponential and Logarithmic Equations

16–1 Exponential Expressions, Equations, and Formulas

16–2 Logarithmic Expressions, Equations, and Formulas

 

17. Geometry

17–1 Lines and Angles

17–2 Polygons

17–3 Circles and Radians

17–4 Volume and Surface Area

 

18. Triangles

18–1 Special Triangle Relationships

18–2 Pythagorean Theorem

18–3 Inscribed and Circumscribed Regular Polygons and Circles

18–4 Distance and Midpoints

Chapters 16–18 Cumulative Practice Test

 

19. Right-Triangle Trigonometry

19–1 Trigonometric Functions

19–2 Solving Right Triangles Using the Sine, Cosine, and Tangent Functions

 

20. Trigonometry with Any Angle

20–1 Vectors

20–2 Trigonometric Functions for Any Angle

20–3 Period and Phase Shift

20–4 Law of Sines

20–5 Law of Cosines

Chapters 19–20 Cumulative Practice Test

 

Selected Answers to Student Exercise Material

Glossary and Index