College Mathematics for Trades and Technologies

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, and Error

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

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 and Inequalities

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
12-3 Basic Operations with Square-Root Radicals
12-4 Complex and Imaginary Numbers

13. Factoring

13-1 The Distributive Property and Common Factors
13-2 Factoring Special Products
13-3 Factoring General Trinomials

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 Expression
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-Angle 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

Online Appendices available in MyLab® Math:

Appendix A. Measuring Instruments
Appendix B. Number Systems
Appendix C. Matrices and Determinents
Appendix D. Conic

Selected Answers to Student Exercise Material Glossary and Index