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.

Preface

To the StudentCHAPTER 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