College Mathematics for Trades and Technologies, 10th edition

Published by Pearson (December 11, 2020) © 2019

  • Cheryl Cleaves Southwest Tennessee Community College , State Technical Institute at Memphis
  • Margie Hobbs University of Mississippi
  • Jeffrey Noble MBA, Madison College

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ISBN-13: 9780137400010 (2020 update)

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College Mathematics for Trades and Technologies helps you gain a solid understanding of the basic math, algebra and geometry needed for many career programs. The authors present mathematical topics in the context of trade applications so you can connect those concepts to your future career. Career-coded examples and exercises focus on a wide variety of careers, including Allied Health, Business and Personal Finance, Aviation, Hospitality, Industrial Trades, Automotive, Telecommunication, Electronics, Construction, Drafting and more. A 6-step approach to problem solving provides a systematic and logical framework for analyzing, comparing, estimating and solving workplace applications. The 10th Edition adds robust support features while maintaining all the hallmarks that have made this text one of the most well-received for this course.

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

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