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by Julie Miller, Molly O'Neill and Nancy Hyde

Edition: 07Copyright: 2007

Publisher: McGraw-Hill Publishing Company

Published: 2007

International: No

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Miller/O'Neill/Hyde's Introductory and Intermediate Algebra is an insightful and engaging textbook written for teachers by teachers. Through strong pedagogical features, conceptual learning methodologies, student friendly writing, and a wide-variety of exercise sets, Introductory and Intermediate Algebra is a book committed to student success in mathematics.

**Part I. Chapter R Reference**

R.1 Study Tips

R.2 Fractions

R.3 Decimals and Percents

R.4 Introduction to Geometry

**Chapter 1. Set of Real Numbers**

1.1 Sets of Numbers and the Real Number Line

1.2 Order of Operations

1.3 Addition of Real Numbers

1.4 Subtraction of Real Numbers

1.5 Multiplication and Division of Real Numbers

1.6 Properties of Real Numbers and Simplifying Expressions

**Chapter 2. Linear Equations and Inequalities**

2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality

2.2 Solving Linear Equations

2.3 Linear Equations: Clearing Fractions and Decimals

2.4 Applications of Linear Equations: Introduction to Problem Solving

2.5 Applications Involving Percents

2.6 Formulas and Applications of Geometry

2.7 Linear Inequalities

**Chapter 3. Graphing Linear Equations in Two Variables**

3.1 Rectangular Coordinate System

3.2 Linear Equations in Two Variables

3.3 Slope of a Line

3.4 Slope-Intercept Form of a Line

3.5 Point-Slope Formula

3.6 Applications of Linear Equations

**Chapter 4. Polynomials and Properties of Exponents**

4.1 Exponents: Multiplying and Dividing Common Bases

4.2 More Properties of Exponents

4.3 Definitions of b^0 and b^-n

4.4 Scientific Notation

4.5 Addition and Subtraction of Polynomials

4.6 Multiplication of Polynomials

4.7 Division of Polynomials

**Chapter 5. Factoring Polynomials**

5.1 Greatest Common Factor and Factoring by Grouping

5.2 Factoring Trinomials: Grouping Method

5.3 Factoring Trinomials: Trial-and-Error Method

5.4 Factoring Perfect Square Trinomials and the Difference of Squares

5.5 Factoring the Sum and Difference of Cubes and General Factoring Summary

5.6 Solving Equations Using the Zero Product Rule

**Chapter 6. Rational Expressions**

6.1 Introduction to Rational Expressions

6.2 Multiplication and Division of Rational Expressions

6.3 Least Common Denominator

6.4 Addition and Subtraction of Rational Expressions

6.5 Complex Fractions

6.6 Rational Equations

6.7 Applications of Rational Equations and Proportions

**Part II Chapter 7. Systems of Linear Equations**

7.1 Solving Systems of Linear Equations by Graphing

7.2 Solving Systems of Equations by Using the Substitution Method

7.3 Solving Systems of Equations by Using the Addition Method

7.4 Applications of Systems of Linear Equations in Two Variables

7.5 Systems of Linear Equations in Three Variables and Applications

7.6 Solving Systems of Linear Equations by Using Matrices

**Chapter 8. Introduction to Relations and Functions**

8.1 Introduction to Relations

8.2 Introduction to Functions

8.3 Graphs of Basic Functions

8.4 Variation

**Chapter 9. Radicals and Complex Numbers**

9.1 Definition of an nth Root

9.2 Rational Exponents

9.3 Simplifying Radical Expressions

9.4 Addition and Subtraction of Radicals

9.5 Multiplication of Radicals

9.6 Rationalization

9.7 Radical Equations

9.8 Complex Numbers

**Chapter 10. Quadratic Equations and Functions**

10.1 Completing the Square and the Square Root Property

10.2 Quadratic Formula

10.3 Equations in Quadratic Form

10.4 Graphs of Quadratic Functions

10.5 Vertex of a Parabola and Applications

**Chapter 11. More Equations and Inequalities**

11.1 Compound Inequalities

11.2 Polynomial and Rational Inequalities

11.3 Absolute Value Equations

11.4 Absolute Value Inequalities

11.5 Linear Inequalities in Two Variables

**Chapter 12. Exponential and Logarithmic Functions**

12.1 Algebra and Composition of Functions

12.2 Inverse Functions

12.3 Exponential Functions

12.4 Logarithmic Functions

12.5 Properties of Logarithms

12.6 The Irrational Number e

12.7 Exponential and Logarithmic Equations

Student Answer Appendix

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Summary

Miller/O'Neill/Hyde's Introductory and Intermediate Algebra is an insightful and engaging textbook written for teachers by teachers. Through strong pedagogical features, conceptual learning methodologies, student friendly writing, and a wide-variety of exercise sets, Introductory and Intermediate Algebra is a book committed to student success in mathematics.

Table of Contents

**Part I. Chapter R Reference**

R.1 Study Tips

R.2 Fractions

R.3 Decimals and Percents

R.4 Introduction to Geometry

**Chapter 1. Set of Real Numbers**

1.1 Sets of Numbers and the Real Number Line

1.2 Order of Operations

1.3 Addition of Real Numbers

1.4 Subtraction of Real Numbers

1.5 Multiplication and Division of Real Numbers

1.6 Properties of Real Numbers and Simplifying Expressions

**Chapter 2. Linear Equations and Inequalities**

2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality

2.2 Solving Linear Equations

2.3 Linear Equations: Clearing Fractions and Decimals

2.4 Applications of Linear Equations: Introduction to Problem Solving

2.5 Applications Involving Percents

2.6 Formulas and Applications of Geometry

2.7 Linear Inequalities

**Chapter 3. Graphing Linear Equations in Two Variables**

3.1 Rectangular Coordinate System

3.2 Linear Equations in Two Variables

3.3 Slope of a Line

3.4 Slope-Intercept Form of a Line

3.5 Point-Slope Formula

3.6 Applications of Linear Equations

**Chapter 4. Polynomials and Properties of Exponents**

4.1 Exponents: Multiplying and Dividing Common Bases

4.2 More Properties of Exponents

4.3 Definitions of b^0 and b^-n

4.4 Scientific Notation

4.5 Addition and Subtraction of Polynomials

4.6 Multiplication of Polynomials

4.7 Division of Polynomials

**Chapter 5. Factoring Polynomials**

5.1 Greatest Common Factor and Factoring by Grouping

5.2 Factoring Trinomials: Grouping Method

5.3 Factoring Trinomials: Trial-and-Error Method

5.4 Factoring Perfect Square Trinomials and the Difference of Squares

5.5 Factoring the Sum and Difference of Cubes and General Factoring Summary

5.6 Solving Equations Using the Zero Product Rule

**Chapter 6. Rational Expressions**

6.1 Introduction to Rational Expressions

6.2 Multiplication and Division of Rational Expressions

6.3 Least Common Denominator

6.4 Addition and Subtraction of Rational Expressions

6.5 Complex Fractions

6.6 Rational Equations

6.7 Applications of Rational Equations and Proportions

**Part II Chapter 7. Systems of Linear Equations**

7.1 Solving Systems of Linear Equations by Graphing

7.2 Solving Systems of Equations by Using the Substitution Method

7.3 Solving Systems of Equations by Using the Addition Method

7.4 Applications of Systems of Linear Equations in Two Variables

7.5 Systems of Linear Equations in Three Variables and Applications

7.6 Solving Systems of Linear Equations by Using Matrices

**Chapter 8. Introduction to Relations and Functions**

8.1 Introduction to Relations

8.2 Introduction to Functions

8.3 Graphs of Basic Functions

8.4 Variation

**Chapter 9. Radicals and Complex Numbers**

9.1 Definition of an nth Root

9.2 Rational Exponents

9.3 Simplifying Radical Expressions

9.4 Addition and Subtraction of Radicals

9.5 Multiplication of Radicals

9.6 Rationalization

9.7 Radical Equations

9.8 Complex Numbers

**Chapter 10. Quadratic Equations and Functions**

10.1 Completing the Square and the Square Root Property

10.2 Quadratic Formula

10.3 Equations in Quadratic Form

10.4 Graphs of Quadratic Functions

10.5 Vertex of a Parabola and Applications

**Chapter 11. More Equations and Inequalities**

11.1 Compound Inequalities

11.2 Polynomial and Rational Inequalities

11.3 Absolute Value Equations

11.4 Absolute Value Inequalities

11.5 Linear Inequalities in Two Variables

**Chapter 12. Exponential and Logarithmic Functions**

12.1 Algebra and Composition of Functions

12.2 Inverse Functions

12.3 Exponential Functions

12.4 Logarithmic Functions

12.5 Properties of Logarithms

12.6 The Irrational Number e

12.7 Exponential and Logarithmic Equations

Student Answer Appendix

Publisher Info

Publisher: McGraw-Hill Publishing Company

Published: 2007

International: No

Published: 2007

International: No

**Part I. Chapter R Reference**

R.1 Study Tips

R.2 Fractions

R.3 Decimals and Percents

R.4 Introduction to Geometry

**Chapter 1. Set of Real Numbers**

1.1 Sets of Numbers and the Real Number Line

1.2 Order of Operations

1.3 Addition of Real Numbers

1.4 Subtraction of Real Numbers

1.5 Multiplication and Division of Real Numbers

1.6 Properties of Real Numbers and Simplifying Expressions

**Chapter 2. Linear Equations and Inequalities**

2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality

2.2 Solving Linear Equations

2.3 Linear Equations: Clearing Fractions and Decimals

2.4 Applications of Linear Equations: Introduction to Problem Solving

2.5 Applications Involving Percents

2.6 Formulas and Applications of Geometry

2.7 Linear Inequalities

**Chapter 3. Graphing Linear Equations in Two Variables**

3.1 Rectangular Coordinate System

3.2 Linear Equations in Two Variables

3.3 Slope of a Line

3.4 Slope-Intercept Form of a Line

3.5 Point-Slope Formula

3.6 Applications of Linear Equations

**Chapter 4. Polynomials and Properties of Exponents**

4.1 Exponents: Multiplying and Dividing Common Bases

4.2 More Properties of Exponents

4.3 Definitions of b^0 and b^-n

4.4 Scientific Notation

4.5 Addition and Subtraction of Polynomials

4.6 Multiplication of Polynomials

4.7 Division of Polynomials

**Chapter 5. Factoring Polynomials**

5.1 Greatest Common Factor and Factoring by Grouping

5.2 Factoring Trinomials: Grouping Method

5.3 Factoring Trinomials: Trial-and-Error Method

5.4 Factoring Perfect Square Trinomials and the Difference of Squares

5.5 Factoring the Sum and Difference of Cubes and General Factoring Summary

5.6 Solving Equations Using the Zero Product Rule

**Chapter 6. Rational Expressions**

6.1 Introduction to Rational Expressions

6.2 Multiplication and Division of Rational Expressions

6.3 Least Common Denominator

6.4 Addition and Subtraction of Rational Expressions

6.5 Complex Fractions

6.6 Rational Equations

6.7 Applications of Rational Equations and Proportions

**Part II Chapter 7. Systems of Linear Equations**

7.1 Solving Systems of Linear Equations by Graphing

7.2 Solving Systems of Equations by Using the Substitution Method

7.3 Solving Systems of Equations by Using the Addition Method

7.4 Applications of Systems of Linear Equations in Two Variables

7.5 Systems of Linear Equations in Three Variables and Applications

7.6 Solving Systems of Linear Equations by Using Matrices

**Chapter 8. Introduction to Relations and Functions**

8.1 Introduction to Relations

8.2 Introduction to Functions

8.3 Graphs of Basic Functions

8.4 Variation

**Chapter 9. Radicals and Complex Numbers**

9.1 Definition of an nth Root

9.2 Rational Exponents

9.3 Simplifying Radical Expressions

9.4 Addition and Subtraction of Radicals

9.5 Multiplication of Radicals

9.6 Rationalization

9.7 Radical Equations

9.8 Complex Numbers

**Chapter 10. Quadratic Equations and Functions**

10.1 Completing the Square and the Square Root Property

10.2 Quadratic Formula

10.3 Equations in Quadratic Form

10.4 Graphs of Quadratic Functions

10.5 Vertex of a Parabola and Applications

**Chapter 11. More Equations and Inequalities**

11.1 Compound Inequalities

11.2 Polynomial and Rational Inequalities

11.3 Absolute Value Equations

11.4 Absolute Value Inequalities

11.5 Linear Inequalities in Two Variables

**Chapter 12. Exponential and Logarithmic Functions**

12.1 Algebra and Composition of Functions

12.2 Inverse Functions

12.3 Exponential Functions

12.4 Logarithmic Functions

12.5 Properties of Logarithms

12.6 The Irrational Number e

12.7 Exponential and Logarithmic Equations

Student Answer Appendix