# Introductory Algebra

3^{rd}Edition

ISBN10: 0073384542

ISBN13: 9780073384542

Copyright: 2015

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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

### Program Details

# Introductory Algebra, 3rd Edition

## R Reference

R.1 Study Tips

R.2 Fractions

R.3 Decimals and Percents

R.4 Introduction to Geometry

## 1 The Set of Real Numbers

1.1 Introduction to Algebra and the Set of Real Numbers

1.2 Exponents, Square Roots, and the Order of Operations

1.3 Addition of Real Numbers

1.4 Subtraction of Real Numbers

PRE: Addition and Subtraction of Real Numbers

1.5 Multiplication and Division of Real Numbers

1.6 Properties of Real Numbers and Simplifying Expressions

Group Activity: Evaluating Formulas Using a Calculator

## 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

PRE: Equations and Expressions

2.4 Applications of Linear Equations:Introduction to Problem Solving

2.5 Applications Involving Percents

2.6 Literal Equations and Applications of Geometry

2.7 Mixture Applications and Uniform Motion

2.8 Linear Inequalities

Group Activity: Computing Body Mass Index (BMI)

## 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 and Rate of Change

3.4 Slope-Intercept Form of a Linear Equation

PRE: Linear Equations in Two Variables 3.5 Point-Slope Formula

3.6 Applications of Linear Equations and Modeling

Group Activity: Modeling a Linear Equation

## 4 Systems of Linear Equations in Two Variables

4.1 Solving Systems of Equations by the Graphing Method

4.2 Solving Systems of Equations by the Substitution Method

4.3 Solving Systems of Equations by the Addition Method

PRE: Systems of Equations

4.4 Applications of Linear Inequalities in Two Variables

4.5 Linear Inequalities and Systems of Inequalities in Two Variables

Group Activity: Creating Linear Models from Data

## 5 Polynomials and Properties of Exponents

5.1 Multiplying and Dividing Expressions with Common Bases

5.2 More Properties of Exponents

5.3 Definitions of b^0 and b^-n

PRE: Properties of Exponents

5.4 Scientific Notation

5.5 Addition and Subtraction of Polynomials

5.6 Multiplication of Polynomials and Special Products

5.7 Division of Polynomials

PRE: Operations on Polynomials

Group Activity: The Pythagorean Theorem and a Geometric 'Proof'

## 6 Factoring Polynomials

6.1 Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form x^2 + bx + c

6.3 Factoring Trinomials: Trial and Error Method

6.4 Factoring Trinomials: A-C Method

6.5 Difference of Squares and Perfect Square Trinomials

6.6 Sum and Difference of Cubes

PRE: Factoring Strategy

6.7 Solving Equations Using the Zero Product Rule

PRE: Polynomial Expressions versus Polynomial Equations

6.8 Applications of Quadratic Equations

Group Activity: Building a Factoring Test

## 7 Rational Expressions and Equations

7.1 Introduction to Rational Expressions

7.2 Multiplication and Division of Rational Expressions

7.3 Least Common Denominator

7.4 Addition and Subtraction of Rational Expressions

PRE: Operations on Rational Expressions

7.5 Complex Fractions

7.6 Rational Equations

PRE: Comparing Rational Equations and Rational Expressions

7.7 Applications of Rational Equations and Proportions 7.8 Variation

Group Activity: Computing Monthly Mortgage Payments

## 8 Radicals

8.1 Introduction to Roots and Radicals

8.2 Simplifying Radicals

8.3 Addition and Subtraction of Radicals

8.4 Multiplication of Radicals

8.5 Division of Radicals and Rationalisation

PRE: Operations on Radicals

8.6 Radicals Equations

8.7 Rational Exponents

Group Activity: Calculating Standard Deviation

## 9 More Quadratic Equations

9.1 The Square Root Property

9.2 Completing the Square

9.3 Quadratic Formula

PRE: Solving Different Types of Equations

9.4 Graphing Quadratic Equations

9.5 Introduction to Functions

Group Activity: Maximising Volume

## Additional Topics Appendix

A.1 Converting Units of Measurement

# About the Author

**Julie Miller**

Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers.

**My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and I’d like to see math come alive for my students.**

**Molly O'Neill**

Molly ONeill is from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from developmental mathematics to calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of Michigan-Dearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a bachelor of science in mathematics and a master of arts and teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus and has reviewed texts for developmental mathematics.

**I differ from many of my colleagues in that math was not always easy for me. But in seventh grade I had a teacher who taught me that if I follow the rules of mathematics, even I could solve math problems. Once I understood this, I enjoyed math to the point of choosing it for my career. I now have the greatest job because I get to do math every day and I have the opportunity to influence my students just as I was influenced. Authoring these texts has given me another avenue to reach even more students.**

**Nancy Hyde**

Nancy Hyde served as a full-time faculty member of the Mathematics Department at Broward College for 24 years. During this time she taught the full spectrum of courses from developmental math through differential equations. She received a bachelor of science degree in math education from Florida State University and a master’s degree in math education from Florida Atlantic University. She has conducted workshops and seminars for both students and teachers on the use of technology in the classroom. In addition to this textbook, she has authored a graphing calculator supplement for College Algebra.

**I grew up in Brevard County, Florida, where my father worked at Cape Canaveral. I was always excited by mathematics and physics in relation to the space program. As I studied higher levels of mathematics I became more intrigued by its abstract nature and infinite possibilities. It is enjoyable and rewarding to convey this perspective to students while helping them to understand mathematics.**

### Connect

By prompting students to engage with key concepts, while continually adapting to their individual needs, Connect activates learning and empowers students to take control resulting in better grades and increased retention rates. Proven online content integrates seamlessly with our adaptive technology, and helps build student confidence outside of the classroom.

Learn More### Connect Reporting

View complete, at-a-glance reports for individual students or the whole class. Generate powerful data related to student performance across learning outcomes, specific topics, level of difficulty and more. Additionally, you can compare student performance in different sections of the course.

Learn More### LMS Integration

With a single point of access, Connect seamlessly integrates with every learning management system on the market today. Quickly access registration, attendance, assignments, grades, and course resources in real time in one, familiar location.

### Implementation and digital support

We provide self-directed resources, local, on campus training, and live webinar sessions, to get you up and running in a way that works for you, and to help you get the most out of Connect. We maintain a technical support team available to both instructors and students for any questions that might arise while using Connect.

Learn More# Introductory Algebra, 3rd Edition

## R Reference

R.1 Study Tips

R.2 Fractions

R.3 Decimals and Percents

R.4 Introduction to Geometry

## 1 The Set of Real Numbers

1.1 Introduction to Algebra and the Set of Real Numbers

1.2 Exponents, Square Roots, and the Order of Operations

1.3 Addition of Real Numbers

1.4 Subtraction of Real Numbers

PRE: Addition and Subtraction of Real Numbers

1.5 Multiplication and Division of Real Numbers

1.6 Properties of Real Numbers and Simplifying Expressions

Group Activity: Evaluating Formulas Using a Calculator

## 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

PRE: Equations and Expressions

2.4 Applications of Linear Equations:Introduction to Problem Solving

2.5 Applications Involving Percents

2.6 Literal Equations and Applications of Geometry

2.7 Mixture Applications and Uniform Motion

2.8 Linear Inequalities

Group Activity: Computing Body Mass Index (BMI)

## 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 and Rate of Change

3.4 Slope-Intercept Form of a Linear Equation

PRE: Linear Equations in Two Variables 3.5 Point-Slope Formula

3.6 Applications of Linear Equations and Modeling

Group Activity: Modeling a Linear Equation

## 4 Systems of Linear Equations in Two Variables

4.1 Solving Systems of Equations by the Graphing Method

4.2 Solving Systems of Equations by the Substitution Method

4.3 Solving Systems of Equations by the Addition Method

PRE: Systems of Equations

4.4 Applications of Linear Inequalities in Two Variables

4.5 Linear Inequalities and Systems of Inequalities in Two Variables

Group Activity: Creating Linear Models from Data

## 5 Polynomials and Properties of Exponents

5.1 Multiplying and Dividing Expressions with Common Bases

5.2 More Properties of Exponents

5.3 Definitions of b^0 and b^-n

PRE: Properties of Exponents

5.4 Scientific Notation

5.5 Addition and Subtraction of Polynomials

5.6 Multiplication of Polynomials and Special Products

5.7 Division of Polynomials

PRE: Operations on Polynomials

Group Activity: The Pythagorean Theorem and a Geometric 'Proof'

## 6 Factoring Polynomials

6.1 Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form x^2 + bx + c

6.3 Factoring Trinomials: Trial and Error Method

6.4 Factoring Trinomials: A-C Method

6.5 Difference of Squares and Perfect Square Trinomials

6.6 Sum and Difference of Cubes

PRE: Factoring Strategy

6.7 Solving Equations Using the Zero Product Rule

PRE: Polynomial Expressions versus Polynomial Equations

6.8 Applications of Quadratic Equations

Group Activity: Building a Factoring Test

## 7 Rational Expressions and Equations

7.1 Introduction to Rational Expressions

7.2 Multiplication and Division of Rational Expressions

7.3 Least Common Denominator

7.4 Addition and Subtraction of Rational Expressions

PRE: Operations on Rational Expressions

7.5 Complex Fractions

7.6 Rational Equations

PRE: Comparing Rational Equations and Rational Expressions

7.7 Applications of Rational Equations and Proportions 7.8 Variation

Group Activity: Computing Monthly Mortgage Payments

## 8 Radicals

8.1 Introduction to Roots and Radicals

8.2 Simplifying Radicals

8.3 Addition and Subtraction of Radicals

8.4 Multiplication of Radicals

8.5 Division of Radicals and Rationalisation

PRE: Operations on Radicals

8.6 Radicals Equations

8.7 Rational Exponents

Group Activity: Calculating Standard Deviation

## 9 More Quadratic Equations

9.1 The Square Root Property

9.2 Completing the Square

9.3 Quadratic Formula

PRE: Solving Different Types of Equations

9.4 Graphing Quadratic Equations

9.5 Introduction to Functions

Group Activity: Maximising Volume

## Additional Topics Appendix

A.1 Converting Units of Measurement

# About the Author

**Julie Miller**

Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers.

**My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and I’d like to see math come alive for my students.**

**Molly O'Neill**

Molly ONeill is from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from developmental mathematics to calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of Michigan-Dearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a bachelor of science in mathematics and a master of arts and teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus and has reviewed texts for developmental mathematics.

**I differ from many of my colleagues in that math was not always easy for me. But in seventh grade I had a teacher who taught me that if I follow the rules of mathematics, even I could solve math problems. Once I understood this, I enjoyed math to the point of choosing it for my career. I now have the greatest job because I get to do math every day and I have the opportunity to influence my students just as I was influenced. Authoring these texts has given me another avenue to reach even more students.**

**Nancy Hyde**

Nancy Hyde served as a full-time faculty member of the Mathematics Department at Broward College for 24 years. During this time she taught the full spectrum of courses from developmental math through differential equations. She received a bachelor of science degree in math education from Florida State University and a master’s degree in math education from Florida Atlantic University. She has conducted workshops and seminars for both students and teachers on the use of technology in the classroom. In addition to this textbook, she has authored a graphing calculator supplement for College Algebra.

**I grew up in Brevard County, Florida, where my father worked at Cape Canaveral. I was always excited by mathematics and physics in relation to the space program. As I studied higher levels of mathematics I became more intrigued by its abstract nature and infinite possibilities. It is enjoyable and rewarding to convey this perspective to students while helping them to understand mathematics.**

### Connect

By prompting students to engage with key concepts, while continually adapting to their individual needs, Connect activates learning and empowers students to take control resulting in better grades and increased retention rates. Proven online content integrates seamlessly with our adaptive technology, and helps build student confidence outside of the classroom.

Learn More### Connect Reporting

View complete, at-a-glance reports for individual students or the whole class. Generate powerful data related to student performance across learning outcomes, specific topics, level of difficulty and more. Additionally, you can compare student performance in different sections of the course.

Learn More### LMS Integration

With a single point of access, Connect seamlessly integrates with every learning management system on the market today. Quickly access registration, attendance, assignments, grades, and course resources in real time in one, familiar location.

### Implementation and digital support

We provide self-directed resources, local, on campus training, and live webinar sessions, to get you up and running in a way that works for you, and to help you get the most out of Connect. We maintain a technical support team available to both instructors and students for any questions that might arise while using Connect.

Learn More# Related Products

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