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by Cheryl Cleaves and Margie Hobbs

Edition: 7TH 07Copyright: 2007

Publisher: Prentice Hall, Inc.

Published: 2007

International: No

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Continuing the tradition of excellence in applied mathematics, Cleaves and Hobbs 7th edition is designed for students in a broad range of career programs that require a solid understanding of basic math, elementary algebra, trigonometry, and geometry. Topics are introduced and reinforced using a step-by-step "spiral learning" approach supported by numerous examples and applications. Throughout the text, examples are presented in both symbolic and narrative form and all concepts are applied directly to careers and professions.

Students who will benefit from this text include: Allied Health, Nursing, Computer Technology, Aviation, the Industrial Trades and Technologies, Electronics, CAD, Drafting, Architecture, Agriculture, Telecommunication, Auto/Diesel, Criminal Justice, Fire Science, Business, Hospitality, and Culinary/Food Safety programs.

**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

2-5 The U.S. Customary System of Measurement

**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 Introduction to the Metric System

4-2 Time, Temperature, and Other Measures

4-3 Metric-U.S. Customary Comparisons

4-4 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 Averages and Frequency Distributions

6-3 Range and Standard Deviation

6-4 Counting Techniques and Simple Probabilities

Chapters 4-6 Cumulative Practice Test

**Chapter 7. Linear Equations **

7-1 Variable Notation

7-2 Solving Linear Equations

7-3 Applying the Distributive Property in Solving Equations

7-4 Solving Linear Equations with Fractions and Decimals by Clearing the Denominators

7-5 Formulas

**Chapter 8. Ratio and Proportion **

8-1 Ratio and Proportion

8-2 Direct and Joint Variation

8-3 Inverse and Combined Variation

**Chapter 9. Graphing Linear Equations and Functions**

9-1 Graphical Representation of Linear Equations and Functions

9-2 Graphing Linear Equations with Two Variables Using Alternative Methods

9-3 Slope

9-4 Linear Equation of a Line

**Chapter 10. Systems of Linear Equations **

10-1 Solving Systems of Linear Equations 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

**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 and Equations **

14-1 Simplifying Rational Expressions

14-2 Multiplying and Dividing Rational Expressions

14-3 Adding and Subtracting Rational Expressions

14-4 Solving Equations with Rational Expressions

**Chapter 15. Quadratic and Higher-Degree Equations **

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

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. Inequalities and Absolute Values **

17-1 Inequalities and Sets

17-2 Solving Linear Inequalities

17-3 Solving Compound Inequalities

17-4 Solving Quadratic and Rational Inequalities in One Variable

17-5 Solving Equations and Inequalities Containing One Absolute-Value Term

**Chapter 18. Geometry **

18-1 Lines and Angles

18-2 Polygons

18-3 Circles and Radians

18-4 Volume and Surface Area

**Chapter 19. Triangles**

19-1 Special Triangle Relationships

19-2 Pythagorean Theorem

19-3 Inscribed and Circumscribed Regular Polygons and Circles

19-4 Distance and Midpoints

Chapters 16-19 Cumulative Practice Test

**Chapter 20. Right-Triangle Trigonometry **

20-1 Trigonometric Functions

20-2 Solving Right Triangles Using the Sine, Cosine, and Tangent Functions

**Chapter 21. Trigonometry with Any Angle **

21-1 Vectors

21-2 Trigonometric Functions for Any Angle

21-3 Period and Phase Shift

21-4 Law of Sines

21-5 Law of Cosines

Chapters 20-21 Cumulative Practice Test

Selected Answers to Student Exercise Material

Glossary and Index

Summary

Continuing the tradition of excellence in applied mathematics, Cleaves and Hobbs 7th edition is designed for students in a broad range of career programs that require a solid understanding of basic math, elementary algebra, trigonometry, and geometry. Topics are introduced and reinforced using a step-by-step "spiral learning" approach supported by numerous examples and applications. Throughout the text, examples are presented in both symbolic and narrative form and all concepts are applied directly to careers and professions.

Students who will benefit from this text include: Allied Health, Nursing, Computer Technology, Aviation, the Industrial Trades and Technologies, Electronics, CAD, Drafting, Architecture, Agriculture, Telecommunication, Auto/Diesel, Criminal Justice, Fire Science, Business, Hospitality, and Culinary/Food Safety programs.

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

2-5 The U.S. Customary System of Measurement

**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 Introduction to the Metric System

4-2 Time, Temperature, and Other Measures

4-3 Metric-U.S. Customary Comparisons

4-4 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 Averages and Frequency Distributions

6-3 Range and Standard Deviation

6-4 Counting Techniques and Simple Probabilities

Chapters 4-6 Cumulative Practice Test

**Chapter 7. Linear Equations **

7-1 Variable Notation

7-2 Solving Linear Equations

7-3 Applying the Distributive Property in Solving Equations

7-4 Solving Linear Equations with Fractions and Decimals by Clearing the Denominators

7-5 Formulas

**Chapter 8. Ratio and Proportion **

8-1 Ratio and Proportion

8-2 Direct and Joint Variation

8-3 Inverse and Combined Variation

**Chapter 9. Graphing Linear Equations and Functions**

9-1 Graphical Representation of Linear Equations and Functions

9-2 Graphing Linear Equations with Two Variables Using Alternative Methods

9-3 Slope

9-4 Linear Equation of a Line

**Chapter 10. Systems of Linear Equations **

10-1 Solving Systems of Linear Equations 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

**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 and Equations **

14-1 Simplifying Rational Expressions

14-2 Multiplying and Dividing Rational Expressions

14-3 Adding and Subtracting Rational Expressions

14-4 Solving Equations with Rational Expressions

**Chapter 15. Quadratic and Higher-Degree Equations **

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

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. Inequalities and Absolute Values **

17-1 Inequalities and Sets

17-2 Solving Linear Inequalities

17-3 Solving Compound Inequalities

17-4 Solving Quadratic and Rational Inequalities in One Variable

17-5 Solving Equations and Inequalities Containing One Absolute-Value Term

**Chapter 18. Geometry **

18-1 Lines and Angles

18-2 Polygons

18-3 Circles and Radians

18-4 Volume and Surface Area

**Chapter 19. Triangles**

19-1 Special Triangle Relationships

19-2 Pythagorean Theorem

19-3 Inscribed and Circumscribed Regular Polygons and Circles

19-4 Distance and Midpoints

Chapters 16-19 Cumulative Practice Test

**Chapter 20. Right-Triangle Trigonometry **

20-1 Trigonometric Functions

20-2 Solving Right Triangles Using the Sine, Cosine, and Tangent Functions

**Chapter 21. Trigonometry with Any Angle **

21-1 Vectors

21-2 Trigonometric Functions for Any Angle

21-3 Period and Phase Shift

21-4 Law of Sines

21-5 Law of Cosines

Chapters 20-21 Cumulative Practice Test

Selected Answers to Student Exercise Material

Glossary and Index

Publisher Info

Publisher: Prentice Hall, Inc.

Published: 2007

International: No

Published: 2007

International: No

Students who will benefit from this text include: Allied Health, Nursing, Computer Technology, Aviation, the Industrial Trades and Technologies, Electronics, CAD, Drafting, Architecture, Agriculture, Telecommunication, Auto/Diesel, Criminal Justice, Fire Science, Business, Hospitality, and Culinary/Food Safety programs.

**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

2-5 The U.S. Customary System of Measurement

**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 Introduction to the Metric System

4-2 Time, Temperature, and Other Measures

4-3 Metric-U.S. Customary Comparisons

4-4 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 Averages and Frequency Distributions

6-3 Range and Standard Deviation

6-4 Counting Techniques and Simple Probabilities

Chapters 4-6 Cumulative Practice Test

**Chapter 7. Linear Equations **

7-1 Variable Notation

7-2 Solving Linear Equations

7-3 Applying the Distributive Property in Solving Equations

7-4 Solving Linear Equations with Fractions and Decimals by Clearing the Denominators

7-5 Formulas

**Chapter 8. Ratio and Proportion **

8-1 Ratio and Proportion

8-2 Direct and Joint Variation

8-3 Inverse and Combined Variation

**Chapter 9. Graphing Linear Equations and Functions**

9-1 Graphical Representation of Linear Equations and Functions

9-2 Graphing Linear Equations with Two Variables Using Alternative Methods

9-3 Slope

9-4 Linear Equation of a Line

**Chapter 10. Systems of Linear Equations **

10-1 Solving Systems of Linear Equations 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

**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 and Equations **

14-1 Simplifying Rational Expressions

14-2 Multiplying and Dividing Rational Expressions

14-3 Adding and Subtracting Rational Expressions

14-4 Solving Equations with Rational Expressions

**Chapter 15. Quadratic and Higher-Degree Equations **

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

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. Inequalities and Absolute Values **

17-1 Inequalities and Sets

17-2 Solving Linear Inequalities

17-3 Solving Compound Inequalities

17-4 Solving Quadratic and Rational Inequalities in One Variable

17-5 Solving Equations and Inequalities Containing One Absolute-Value Term

**Chapter 18. Geometry **

18-1 Lines and Angles

18-2 Polygons

18-3 Circles and Radians

18-4 Volume and Surface Area

**Chapter 19. Triangles**

19-1 Special Triangle Relationships

19-2 Pythagorean Theorem

19-3 Inscribed and Circumscribed Regular Polygons and Circles

19-4 Distance and Midpoints

Chapters 16-19 Cumulative Practice Test

**Chapter 20. Right-Triangle Trigonometry **

20-1 Trigonometric Functions

20-2 Solving Right Triangles Using the Sine, Cosine, and Tangent Functions

**Chapter 21. Trigonometry with Any Angle **

21-1 Vectors

21-2 Trigonometric Functions for Any Angle

21-3 Period and Phase Shift

21-4 Law of Sines

21-5 Law of Cosines

Chapters 20-21 Cumulative Practice Test

Selected Answers to Student Exercise Material

Glossary and Index