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College Mathematics

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College Mathematics, Ninth Edition, is designed for students in a broad range of career programs requiring a solid understanding of basic math, elementary algebra, trigonometry, and geometry. The authors introduce topics using a step-by-step “spiral” learning approach and reinforce them with numerous examples and applications. Throughout the text, examples are presented in both symbolic and narrative form, and all concepts are applied to careers and professions.

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0136116329 / 9780136116325 College Mathematics

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Table of Contents

Chapter 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


Chapter 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


Chapter 3 Percents

3-1       Percent and Number Equivalents

3-2       Percentage Problems

3-3       Increase and Decrease


Chapters 1-3 Cumulative Practice Test


Chapter 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

Chapter 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 Fractions and Decimals
5-5       Powers of 10
5-6       Scientific Notation
Chapter 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 Probability
Chapters 4-6 Cumulative Practice Test
Chapter 7 Linear Equations and Inequalities

7-1       Variable Notation

7-2       Solving Basic Linear Equations

7-3       Solving Linear Equations with Fractions by Clearing the Denominators

7-4       Inequalities and Sets
7-5       Solving Linear Inequalities
7-6       Solving Compound Inequalities


Chapter 8 Formulas, Proportion, and Variation

8-1       Formulas

8-2       Ratio and Proportion

8-3       Direct and Joint Variation

8-4       Inverse and Combined Variation


Chapter 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

Chapter 10 Systems of Linear Equations and Inequalities

10-1     Solving Systems of Equations and Inequalities Graphically

10-2     Solving Systems of Equations Using the Addition Method

10-3     Solving Systems of Equations Using the Substitution Method

10-4     Problem Solving Using Systems of Equations


Cumulative Test Chapters 7-10


Chapter 11 Powers and Polynomials

11-1     Laws of Exponents

11-2     Polynomials

11-3     Basic Operations with Polynomials


Chapter 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


Chapter 13 Factoring

13-1     The Distributive Property and Common Factors

13-2     Factoring Special Products

13-3     Factoring General Trinomials


Chapter 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 Equation and Inequalities with Rational Expressions


Chapter 15 Quadratic and Other Non-Linear 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 and By Using the Quadratic Formula

15-4     Graphing Quadratic Equations

15-5     Solving Higher-Degree Equations
15-6     Solving Quadratic and Rational Inequalities in One Variable
15-7     Solving Equations and Inequalities Containing One Absolute-Value Term
Chapters 11 – 15 Cumulative Practice Test
Chapter 16 Exponential and Logarithmic Equations
16-1     Exponential Expressions, Equations, and Formulas
16-2     Logarithmic Expressions, Equations, and Formulas
Chapter 17 Geometry

17-1     Lines and Angles

17-2     Polygons

17-3     Circles and Radians

17-4     Volume and Surface Area


Chapter 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


Chapter 15-18 Cumulative Practice Test


Chapter 19 Right Triangle Trigonometry


19-1     Trigonometric Functions

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


Chapter 20 Trigonometry With Any Angle


20-1     Vectors

20-3     Period and Phase Shift

20-4     Law of Sines

20-5     Law of Cosines

Cumulative Test Chapters 19-20


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