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# Elementary and Intermediate Algebra for College Students / Edition 3

Elementary and Intermediate Algebra for College Students / Edition 3 available in Hardcover

## Overview

The *Angel Series* continues to offer proven pedagogy, sound exercise sets and superior user support. An emphasis on the practical applications of algebra motivates readers and encourages them to see algebra as an important part of their daily lives. The user friendly writing style uses short, clear sentences and easy to understand language, and the outstanding pedagogical program makes the material easy to follow and comprehend. The new editions continue to place a strong emphasis on problem solving. Real Numbers; Solving Linear Equations; Formulas and Applications of Algebra; Graphing Linear Equations; Exponents and Polynomials; Factoring; Rational Expressions and Equations; Functions and Their Graphs; Systems of Linear Equations; Inequities in One and Two Variables; Roots, Radicals, and Complex Numbers; Quadratic Functions; Exponential and Logarithmic Functions; Conic Sections; and Sequence, Series, and the Binominal Theorem. For any professional needing to apply algebra to their work.

## Product Details

ISBN-13: | 2900132337228 |
---|---|

Publisher: | Prentice Hall |

Publication date: | 03/21/2007 |

Series: | Angel Developmental Algebra Series |

Edition description: | 3RD |

Pages: | 1056 |

Product dimensions: | 6.50(w) x 1.50(h) x 9.50(d) |

## About the Author

Allen R. Angel received his AAS in Electrical Technology from New York City Community College. He then received his BS in Physics and his MS in Mathematics from SUNY at New Paltz, and he took additional graduate work at Rutgers University. He is Professor Emeritus at Monroe Community College in Rochester, New York where he served for many years as the chair of the Mathematics Department. He also served as the Assistant Director of the National Science Foundation Summer Institutes at Rutgers University from 1967—73. He served as the President of the New York State Mathematics Association of Two Year Colleges (NYSMATYC) and the Northeast Vice President of the American Mathematics Association of Two Year Colleges (AMATYC). He is the recipient of many awards including a number of NISOD Excellence in Teaching Awards, NYSMATYC's Outstanding Contributions to Mathematics Education Award, and AMATYC's President Award. Allen enjoy tennis, worldwide travel, and visiting with his children and granddaughter.

## Table of Contents

Note: Each chapter concludes with *Chapter Summary, Chapter Review Exercises, *and* Chapter Practice Test *and after Chapter 1, *Cumulative Review Test.*

**Preface**

**To the Student**

**CHAPTER 1 Real Numbers**

1.1 Study Skills for Success in Mathematics

1.2 Problem Solving

1.3 Fractions

1.4 The Real Number System

1.5 Inequalities

* *

*Mid-Chapter Test: Sections 1.1—1.5*

1.6 Addition of Real Numbers

1.7 Subtraction of Real Numbers

1.8 Multiplication and Division of Real Numbers

1.9 Exponents, Parentheses, and the Order of Operations

1.10 Properties of the Real Number System

**CHAPTER 2 Solving Linear Equations**

2.1 Combining Like Terms

2.2 The Addition Property of Equality

2.3 The Multiplication Property of Equality

2.4 Solving Linear Equations with a Variable on Only One Side of the Equation

* *

*Mid-Chapter Test: Sections 2.1—2.4*

2.5 Solving Linear Equations with the Variable on Both Sides of the Equation

2.6 Formulas

2.7 Ratios and Proportions

**CHAPTER 3 Applications of Algebra**

3.1 Changing Application Problems into Equations

3.2 Solving Application Problems

* *

*Mid-Chapter Test: Sections 3.1—3.2*

3.3 Geometric Problems

3.4 Motion, Money, and Mixture Problems

**CHAPTER 4 Graphing Linear Equations**

4.1 The Cartesian Coordinate System and Linear Equations in Two Variables

4.2 Graphing Linear Equations

4.3 Slope of a Line

* *

*Mid-Chapter Test: Sections 4.1—4.3*

4.4 Slope-Intercept and Point-Slope Forms of a Linear Equation

**CHAPTER 5 Exponents and Polynomials**

5.1 Exponents

5.2 Negative Exponents

5.3 Scientific Notation

* *

*Mid-Chapter Test: Sections 5.1—5.3*

5.4 Addition and Subtraction of Polynomials

5.5 Multiplication of Polynomials

5.6 Division of Polynomials

**CHAPTER 6 Factoring**

6.1 Factoring a Monomial from a Polynomial

6.2 Factoring by Grouping

6.3 Factoring Trinomials of the form *ax² + bx + c, a = 1*

6.4 Factoring Trinomials of the form *ax² + bx + c, a ≠ 1*

* *

*Mid-Chapter Test: Sections 6.1—6.4*

6.5 Special Factoring Formulas and a General Review of Factoring

6.6 Solving Quadratic Equations Using Factoring

6.7 Applications of Quadratic Equations

**CHAPTER 7 Rational Expressions and Equations**

7.1 Simplifying Rational Expressions

7.2 Multiplication and Division of Rational Expressions

7.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator

7.4 Addition and Subtraction of Rational Expressions

* *

*Mid-Chapter Test: Sections 7.1—7.4*

7.5 Complex Fractions

7.6 Solving Rational Equations

7.7 Rational Equations: Applications and Problem Solving

7.8 Variation

**CHAPTER 8 Functions and Their Graphs**

8.1 More on Graphs

8.2 Functions

8.3 Linear Functions

* *

*Mid-Chapter test: Sections 8.1—8.3*

8.4 Slope, Modeling, and Linear Relationships

8.5 The Algebra of Functions

**CHAPTER 9 Systems of Linear Equations**

9.1 Solving Systems of Equations Graphically

9.2 Solving Systems of Equations by Substitution

9.3 Solving Systems of Equations by the Addition Method

*Mid-Chapter Test: Sections 9.1—9.3*

9.4 Solving Systems of Linear Equations in Three Variables

9.5 Systems of Linear Equations: Applications and Problem Solving

9.6 Solving Systems of Equations Using Matrices

9.7 Solving Systems of Equations Using Determinants and Cramer’s Rule

**CHAPTER 10 Inequalities in One and Two Variables**

10.1 Solving Linear Inequalities in One Variable

10.2 Solving Equations and Inequalities Containing Absolute Values

* *

*Mid-Chapter Test: Sections 10.1—10.2*

10.3 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities

**CHAPTER 11 Roots, Radicals, and Complex Numbers**

11.1 Roots and Radicals

11.2 Rational Exponents

11.3 Simplifying Radicals

11.4 Adding, Subtracting, and Multiplying Radicals

* *

*Mid-Chapter Test: Sections 11.1—11.4*

11.5 Dividing Radicals

11.6 Solving Radical Equations

11.7 Complex Numbers

** **

**CHAPTER 12 Quadratic Functions**

12.1 Solving Quadratic Equations by Completing the Square

12.2 Solving Quadratic Equations by the Quadratic Formula

12.3 Quadratic Equations: Applications and Problem Solving

* *

*Mid-Chapter Test: Sections 12.1—12.3*

12.4 Factoring expressions and Solving Equations that Are Quadratic in Form

12.5 Graphing Quadratic Functions

12.6 Quadratic and Other Inequalities in One Variable

**CHAPTER** **13 Exponential and Logarithmic Functions**

13.1 Composite and Inverse Functions

13.2 Exponential Functions

13.3 Logarithmic Functions

13.4 Properties of Logarithms

* *

*Mid-Chapter Test: Sections 13.1—13.4*

13.5 Common Logarithms

13.6 Exponential and Logarithmic Equations

13.7 Natural Exponential and Natural Logarithmic Functions

**CHAPTER** **14 Conic Sections**

14.1 The Parabola and the Circle

14.2 The Ellipse

* *

*Mid-Chapter Test: Sections 14.1—14.2*

14.3 The Hyperbola

14.4 Nonlinear Systems of Equations and Their Applications

**CHAPTER** **15 Sequences, Series, and the Binomial Theorem**

15.1 Sequences and Series

15.2 Arithmetic Sequences and Series

15.3 Geometric Sequences and Series

* *

*Mid-Chapter Test: Sections 15.1—15.3*

15.4 The Binomial Theorem

**APPENDICES**

A Review of Decimals and Percents

B Finding the Greatest Common Factor and Least Common Denominator

C Geometry

D Review of Exponents, Polynomials, and Factoring

**Answers**

**Graphing Answer Section** *found only in the Annotated Instructor's Edition

**Applications Index**

**Index**

**Photo Credits**