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Developmental <strong>Mathematics</strong><br />

INTERMEDIATE ALGEBRA<br />

2nd Edition<br />

by Julie Miller, Daytona State College-Daytona Beach, Molly O’Neill,<br />

Daytona State College-Daytona Beach, and Nancy Hyde<br />

2010 (January 2009) / Softcover / 992 pages<br />

ISBN: 9780077281113<br />

ISBN: 9780077304256 [Alternate Edition hardcover]<br />

www.mhhe.com/moh<br />

Intermediate Algebra offers a refreshing approach to the traditional<br />

content of the course. Presented in worktext format, Intermediate Algebra<br />

offers a review of problem solving, solving equations in two and<br />

three variables, a chapter devoted to functions, polynomials, radicals<br />

and complex numbers, factoring and quadratic functions, rational<br />

expressions, and inequalities. Other topics include exponential and<br />

<br />

sion and insight of its experienced author team with features devel-<br />

<br />

CONTENTS<br />

Chapter 1 Review of Basic Algebraic Concepts<br />

1.1 Sets of Number and Interval Notation<br />

1.2 Operation on Real Numbers<br />

1.3 Simplifying Expressions<br />

1.4 Linear Equations in One Variable--Problem Recognition Exercises:<br />

Expressions and Equations<br />

1.5 Applications of Linear Equations in One Variable<br />

1.6 Literal Equations and Applications to Geometry<br />

1.7 Linear Inequalities in One Variable<br />

1.8 Properties of Integer Exponents and Scientific Notation<br />

Chapter 2 Graphing Linear Equations and Functions<br />

2.1 Linear Equations in Two Variables<br />

2.2 Slope of a Line--Problem Recognition Exercises: Intercepts and<br />

Slope<br />

2.3 Equations of a Line<br />

2.4 Application of Linear Equations and Modeling<br />

2.5 Introduction to Relations<br />

2.6 Introduction to Functions<br />

2.7 Graphs of Basic Functions<br />

Chapter 3 Systems of Linear Equations<br />

3.1 Solving Systems of Linear Equations by Graphing<br />

3.2 Solving Systems of Linear Equations by Using the Substitution<br />

Method<br />

3.3 Solving Systems of Linear Equations by Using the Addition<br />

Method-- Problem Recognition Exercises: Method of Solving Systems<br />

of Equations<br />

3.4 Applications of Systems of Linear Equations in Two Variables<br />

3.5 Systems of Linear Equations in Three Variables and Applications<br />

3.6 Solving Systems of Linear Equations by Using Matrices<br />

Chapter 4 Polynomials<br />

4.1 Addition and Subtraction of Polynomials and Polynomial Functions.<br />

4.2 Multiplication of Polynomials<br />

4.3 Division of Polynomials--Problem Recognition Exercises: Operations<br />

on Polynomials<br />

4.4 Greatest Common Factor and Factoring by Grouping<br />

4.5 Factoring Trinomials<br />

4.6 Factoring Binomials<br />

4.7 Additional Factoring Strategies<br />

4.8 Solving Equations by Using the Zero Product Rule<br />

Chapter 5 Rational Expressions and Rational Equations<br />

5.1 Rational Expressions and Rational Functions<br />

5.2 Multiplication and Division of Rational Expressions<br />

5.3 Addition and Subtraction of Rational Expressions<br />

5.4 Complex Fractions--Problem Recognition Exercises: Simplifying<br />

Rational Expressions<br />

5.5 Solving Rational Equations--Problem Recognition Exercises:<br />

Rational Expressions and Equations<br />

5.6 Applications of Rational Equations and Proportions<br />

5.7 Variation<br />

Chapter 6 Radicals and Complex Numbers<br />

6.1 Definition of an nth-Root<br />

6.2 Rational Exponents<br />

6.3 Simplifying Radical Expressions<br />

6.4 Addition and Subtraction of Radicals<br />

6.5 Multiplication of Radicals--Problem Recognition Exercises: Operations<br />

on Radical Expressions<br />

6.6 Rationalization<br />

6.7 Solving Radical Equations<br />

6.8 Complex Numbers<br />

Chapter 7 Quadratic Equations and Functions<br />

7.1 Square Root Property and Completing the Square<br />

7.2 Quadratic Formula<br />

7.3 Equations in Quadratic Form--Problem Recognition Exercises:<br />

Recognizing Equation Types<br />

7.4 Graphs of Quadratic Functions<br />

7.5 Applications of Quadratic Functions and Modeling<br />

Chapter 8 More Equations and Inequalities<br />

8.1 Compound Inequalities<br />

8.2 Polynomial and Rational Inequalities<br />

8.3 Absolute Value Equations<br />

8.4 Absolute Value Inequalities--Problem Recognition Exercises:<br />

Equations and Inequalities<br />

8.5 Linear Inequalities in Two Variables<br />

Chapter 9 Exponential and Logarithmic Functions<br />

9.1 Algebra and Composition of Functions<br />

9.2 Inverse Functions<br />

9.3 Exponential Functions<br />

9.4 Logarithmic Functions<br />

9.5 Properties of Logarithms<br />

9.6 The Irrational Number e--Problem Recognition Exercises: Logarithmic<br />

and Exponential Forms<br />

9.7 Exponential and Logarithmic Equations<br />

Chapter 10 Conic Sections<br />

10.1 Distance Formula, Midpoint, and Circles<br />

10.2 More of the Parabola<br />

10.3 The Ellipse and Hyperbola--Problem Recognition Exercises:<br />

Identifying and Graphing Conic Sections<br />

10.4 Nonlinear Systems of Equations in Two Variables<br />

10.5 Nonlinear Inequalities and System if Inequalities<br />

Additional Topics Appendix<br />

A.1 Binomial Expansions<br />

A.2 Determinants and Cramer’s Rule<br />

A.3 Sequences and Series<br />

A.4 Arithmetic and Geometric Sequences and Series<br />

INTERMEDIATE ALGEBRA<br />

3rd Edition<br />

by Ignacio Bello, University Of South Florida-Tampa, and Fran Hopf,<br />

University Of South Florida-Tampa<br />

2009 / Paper / 960 pages<br />

ISBN: 9780077224806<br />

www.mhhe.com/bello<br />

Intermediate Algebra prepares students for further courses in the college<br />

math curriculum. Students of all backgrounds will be delighted to<br />

<br />

out to diverse demographics. Through down-to-earth explanations,<br />

patient skill-building, and exceptionally interesting and realistic applications,<br />

this worktext will empower students to learn and master<br />

algebra in the real world.<br />

CONTENTS<br />

Chapter 1: The Real Numbers<br />

1.1 Numbers and Their Properties<br />

1.2 Operations and Properties of Real Numbers<br />

1.3 Properties of Exponents<br />

1.4 Algebraic Expressions and the Order of Operations<br />

Chapter 2: Linear Equations and Inequalities<br />

34

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