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Beginning Algebra, 1st edition

Published by Pearson (December 27, 2010) © 2012

  • Kirk Trigsted University of Idaho
  • Randall Gallaher
  • Kevin Bodden

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  • The Trigsted eText is designed for the way students think and behave online. Students are engaged and motivated through timely hyperlinks to definitions, videos, and animations. The authors scripted and created all multimedia learning aids to provide a consistent voice throughout all resources.
    • The eText is formatted to fit the screen without scrolling, and a cream-colored background enhances readability of the eText.
    • Review links throughout the text help students refresh and recall key concepts. Just-in-time hyperlinks let students access vocabulary definitions, prerequisite skills, and multimedia learning aids.
    • Interactive animations require student participation in content often covered through long explanations in traditional textbooks. The authors believe students should not be idle when viewing media, especially when it presents key concepts. All of the videos and animations were scripted and created by the authors to maintain a consistent voice.       
    • Videos and Interactive Videos cover important examples, concepts, and procedures. Interactive videos prompt students to make decisions during the solution process, engaging them in active learning.  
    • The Read Me feature allows auditory learners to listen to the authors reading the text.
  • The Task List in the Trigsted MyMathLab course provides students with a strategy to navigate each section successfully. It reminds students that the first step in doing homework is reading the eText! This is followed by (#2) assignable Reading Assessment Questions, (#3) practice exercises, and (#4) homework exercises.
  • Reading Assessment Questions, assignable in the Trigsted MyMathLab course, allow instructors to assign reading! Students are given customized feedback on incorrect answers that include links back to the eText for easy reference.
  • Additional support resources are also available to accompany this eText.
    • The eText Reference is a spiral-bound, printed version of the eText that provides a place for students to do practice work and summarize key concepts from the online videos and animations. In addition to the benefits it provides students, the eText Reference is also a nice resource for those instructors that prefer a printed text for class preparation.
    • The Guided Notebook is an interactive workbook that guides students through the course by asking them to write down key definitions and work through important examples for each section of the eText. This resource is available in a three-hole-punched, unbound format to provide the foundation for a personalized course notebook. Students can integrate their class notes and homework notes within the appropriate section of the Guided Notebook. Instructors can customize the Guided Notebook files found within MyMathLab.
    • PowerPoint® slides provide an outline to use in a lecture setting, presenting definitions and key examples from the text.
    • TestGen® (www.pearsoned.com/testgen) software enables instructors to build, edit, print, and administer tests using a computerized bank of questions developed to cover all the objectives of the text.
    • The Mini-Guide shows how other instructors from across the country are using Trigsted and MyMathLab with great results!

R. Review

R.1 Operations on Fractions

R.2 Decimals and Percents

 

1. Real Numbers and Algebraic Expressions

1.1 The Real Number System

1.2 Adding and Subtracting Real Numbers

1.3 Multiplying and Dividing Real Numbers

1.4 Exponents and Order of Operations

1.5 Variables and Properties of Real Numbers

1.6 Simplifying Algebraic Expressions

 

2. Linear Equations and Inequalities in One Variable

2.1 The Addition and Multiplication Properties of Equality

2.2 Solving Linear Equations in One Variable

2.3 Introduction to Problem Solving

2.4 Formulas

2.5 Geometry and Uniform Motion Problem Solving

2.6 Percent and Mixture Problem Solving

2.7 Linear Inequalities in One Variable

 

3. Graphs of Linear Equations and Inequalities in Two Variables

3.1 The Rectangular Coordinate System

3.2 Graphing Linear Equations in Two Variables

3.3 Slope

3.4 Equations of Lines

3.5 Linear Inequalities in Two Variables

 

4. Systems of Linear Equations and Inequalities

4.1 Solve Systems of Linear Equations by Graphing

4.2 Solve Systems of Linear Equations by Substitution

4.3 Solve Systems of Linear Equations by Elimination

4.4 Applications of Linear Systems

4.5 Systems of Linear Inequalities

 

5. Exponents and Polynomials

5.1 Exponents

5.2 Introduction to Polynomials

5.3 Adding and Subtracting Polynomials

5.4 Multiplying Polynomials

5.5 Special Products

5.6 Negative Exponents and Scientific Notation

5.7 Dividing Polynomials

5.8 Polynomials with Several Variables

 

6. Factoring Polynomials

6.1 Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form x2 + bx + c

6.3 Factoring Trinomials of the Form ax2 + bx + c Using Trial and Error

6.4 Factoring Trinomials of the Form ax2 + bx + c Using the ac Method

6.5 Factoring Special Forms

6.6 A General Factoring Strategy

6.7 Solving Polynomial Equations by Factoring

6.8 Applications of Quadratic Equations

 

7. Rational Expressions and Equations

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Least Common Denominators

7.4 Adding and Subtracting Rational Expressions

7.5 Complex Rational Expressions

7.6 Solving Rational Equations

7.7 Applications of Rational Equations

7.8 Variation

 

8. Radicals and Rational Exponents

8.1 Finding Roots

8.2 Simplifying Radicals

8.3 Adding and Subtracting Radical Expressions

8.4 Multiplying and Dividing Radicals; Rationalizing Denominators

8.5 Solving Radical Equations

8.6 Rational Exponents

8.7 Complex Numbers

 

9. Quadratic Equations

9.1 Solving Quadratic Equations Using the Square Root Property

9.2 Solving Quadratic Equations by Completing the Square

9.3 Solving Quadratic Equations Using the Quadratic Formula

9.4 Graphs of Quadratic Equations

 

Appendix A. Relations and Functions

Appendix B. Mean, Median, Mode

Appendix C. Geometry Review

Kirk Trigsted teaches mathematics at the University of Idaho and has been director of the Polya Mathematics Center since its inception in 2001. Kirk has taught with MyMathLab for many years, and has contributed to the videos for several Pearson books. Kirk is also actively involved with the National Center for Academic Transformation (NCAT).

Randy Gallaher is a professor of mathematics at Lewis & Clark Community College, where he has taught since 1997. Prior to this position, Randy taught high school and middle school mathematics for five years in Missouri. He holds a master’s degree in mathematics from Southeast Missouri State University and has completed additional graduate coursework at both Missouri State University and the University of Illinois at Urbana-Champaign. He has coauthored ancillary materials for numerous math and statistics textbooks and has worked as a math author on several grant projects for the Illinois Community College Board. Randy is married with three children and spends most evenings actively involved in their activities. In his limited free time, he loves to fish the small rivers and streams of southern Missouri.

Kevin Bodden is a professor of mathematics at Lewis & Clark Community College where he has taught since 1999. He holds a master’s degree in mathematics from Southern Illinois University at Edwardsville and a master’s degree in engineering from Purdue University. He has authored or co-authored ancillary material for numerous textbooks ranging from basic college math to calculus and statistics. He has contributed videos for several of these textbooks and has authored math content on grant projects for the Illinois Community College Board. Kevin is married with three children and is actively involved in their school and extracurricular activities. In his spare time, he enjoys soccer, camping, and geocaching.

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