College Mathematics for Trades and Technologies, 10th edition

  • Cheryl Cleaves, 
  • Margie Hobbs

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College Mathematics for Trades and Technologies introduces the basic math, algebra and geometry needed in career programs, including in personal finance, healthcare and industrial trades. Presenting mathematical topics in the context of trade applications helps you connect the concepts to your future career.

Published by Pearson (December 11th 2020) - Copyright © 2019

ISBN-13: 9780137400010

Subject: Technical Math and Math for Trades

Category: Technical Math

Table of contents

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

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

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

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

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

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

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