Introductory Algebra

Description

About our authors

Marvin Bittinger has been teaching math at the university level for more than 38 years. Since 1968, he has been employed at Indiana University – Purdue University Indianapolis (IUPUI) and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled “Baseball and Mathematics.” He also has an interest in philosophy and theology, particularly apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has 2 grown and married sons, Lowell and Chris, and 4 granddaughters.

Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University – Purdue University Indianapolis (IUPUI). In addition to her career in textbook publishing, she enjoys traveling, spending time with her grandchildren and promoting charity projects for a children’s camp.

Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and is a PhD candidate in Educational Studies at Ball State University. She has taught high school and college math for 30 years, and she enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she is also a student of karate.

• Index of Activities
• Index of Animations
• Preface
• Index of Applications
• Just-in-Time Review
  1. All Factors of a Number
  2. Prime Factorizations
  3. Greatest Common Factor
  4. Least Common Multiple
  5. Equivalent Expressions and Fraction Notation
  6. Mixed Numerals
  7. Simplify Fraction Notation
  8. Multiply and Divide Fraction Notation
  9. Add and Subtract Fraction Notation
  10. Convert from Decimal Notation to Fraction Notation
  11. Add and Subtract Decimal Notation
  12. Multiply and Divide Decimal Notation
  13. Convert from Fraction Notation to Decimal Notation
  14. Rounding with Decimal Notation
  15. Convert Between Percent Notation and Decimal Notation
  16. Convert Between Percent Notation and Fraction Notation
  17. Exponential Notation
  18. Order of Operations

1. Introduction to Real Numbers and Algebraic Expressions
   • 1.1 Introduction to Algebra
   • 1.2 The Real Numbers
   • 1.3 Addition of Real Numbers
   • 1.4 Subtraction of Real Numbers
     • Mid-Chapter Review
   • 1.5 Multiplication of Real Numbers
   • 1.6 Division of Real Numbers
   • 1.7 Properties of Real Numbers
   • 1.8 Simplifying Expressions; Order of Operations
   • Summary and Review
   • Test
2. Solving Equations and Inequalities
   • 2.1 Solving Equations: The Addition Principle
   • 2.2 Solving Equations: The Multiplication Principle
   • 2.3 Using the Principles Together
   • 2.4 Formulas
     • Mid-Chapter Review
   • 2.5 Applications of Percent
   • 2.6 Applications and Problem Solving
     • Translating for Success
   • 2.7 Solving Inequalities
   • 2.8 Applications and Problem Solving with Inequalities
   • Summary and Review
   • Test
   • Cumulative Review
3. Graphs of Linear Equations
   • 3.1 Graphs and Applications of Linear Equations
   • 3.2 More with Graphing and Intercepts
     • Visualizing for Success
   • 3.3 Slope and Applications
   • 3.4 Equations of Lines
     • Mid-Chapter Review
   • 3.5 Graphing Using the Slope and y-Intercept
   • 3.6 Parallel Lines and Perpendicular Lines
   • 3.7 Graphing Inequalities in Two Variables
   • Visualizing for Success
   • Summary and Review
   • Test
   • Cumulative Review
4. Polynomials: Operations
   • 4.1 Integers as Exponents
   • 4.2 Exponents and Scientific Notation
   • 4.3 Introduction to Polynomials
   • 4.4 Addition and Subtraction of Polynomials
     • Mid-Chapter Review
   • 4.5 Multiplication of Polynomials
   • 4.6 Special Products
     • Visualizing for Success
   • 4.7 Operations with Polynomials in Several Variables
   • 4.8 Division of Polynomials
   • Summary and Review
   • Test
   • Cumulative Review
5. Polynomials: Factoring
   • 5.1 Introduction to Factoring
   • 5.2 Factoring Trinomials of the Type x² + bx + c
   • 5.3 Factoring ax² + bx + c, a ≠ 1: The FOIL Method
   • 5.4 Factoring ax² + bx + c, a ≠ 1: The ac-Method
     • Mid-Chapter Review
   • 5.5 Factoring Trinomial Squares and Differences of Squares
   • 5.6 Factoring: A General Strategy
   • 5.7 Solving Quadratic Equations by Factoring
   • 5.8 Applications of Quadratic Equations
   • Translating For Success
   • Summary and Review
   • Test
   • Cumulative Review
6. Rational Expressions and Equations
   • 6.1 Multiplying and Simplifying Rational Expressions
   • 6.2 Division and Reciprocals
   • 6.3 Least Common Multiples and Denominators
   • 6.4 Adding Rational Expressions
   • 6.5 Subtracting Rational Expressions
     • Mid-Chapter Review
   • 6.6 Complex Rational Expressions
   • 6.7 Solving Rational Equations
   • 6.8 Applications Using Rational Equations and Proportions
     • Translating for Success
   • 6.9 Direct Variation and Inverse Variation
   • Summary and Review
   • Test
   • Cumulative Review
7. Systems of Equations
   • 7.1 Systems of Equations in Two Variables
   • 7.2 The Substitution Method
   • 7.3 The Elimination Method
     • Mid-Chapter Review
   • 7.4 Applications and Problem Solving
   • 7.5 Applications with Motion
   • Translating for Success
   • Summary and Review
   • Test
   • Cumulative Review
8. Radical Expressions and Equations
   • 8.1 Introduction to Radical Expressions
   • 8.2 Multiplying and Simplifying with Radical Expressions
   • 8.3 Quotients Involving Radical Expressions
     • Mid-Chapter Review
   • 8.4 Addition, Subtraction, and More Multiplication
   • 8.5 Radical Equations
   • 8.6 Applications with Right Triangles
   • Translating for Success
   • Summary and Review
   • Test
   • Cumulative Review
9. Quadratic Equations
   • 9.1 Introduction to Quadratic Equations
   • 9.2 Solving Quadratic Equations by Completing the Square
   • 9.3 The Quadratic Formula
     • Mid-Chapter Review
   • 9.4 Formulas
   • 9.5 Applications and Problem Solving
     • Translating for Success
   • 9.6 Graphs of Quadratic Equations
     • Visualizing for Success
   • 9.7 Functions
   • Summary and Review
   • Test
   • Cumulative Review

APPENDICES

• A. Factoring Sums or Differences of Cubes
• B. Finding Equations of Lines: Point—Slope Equation
• C. Higher Roots
• D. Sets
• E. Mean, Median, and Mode
• F. Inequalities and Interval Notation

• Answers
• Guided Solutions
• Glossary
• Index

NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab™ or Mastering™, several versions may exist for each title — including customized versions for individual schools — and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering platforms.

For courses in Beginning Algebra.

Trusted author content. Thoughtful innovation.

Math hasn’t changed, but students–and the way they learn–have. In this revision of the Bittinger Paperback Worktext Series, the Bittinger author team brings their extensive experience to developmental math courses, paired with thoughtful integration of technology and content. The Bittinger Series enables students to get the most out of their MyLab™ Math course through an updated learning path, new review videos, and new engaging exercises that offer the support they need, when they need  it.  

Bittinger offers market-leading content written by author-educators, tightly integrated with MyLab Math — the #1 choice in digital learning. Bringing the authors’ voices and their approach into the MyLab course encourages student motivation and engagement, while reinforcing their understanding of the skills and concepts  they need to master algebra.

Also available with MyLab Math

MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. Learn more about MyLab Math.

NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLabTM or MasteringTM, several versions may exist for each title – including customized versions for individual schools – and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering platforms.

For courses in Beginning Algebra.

Trusted author content. Thoughtful innovation.

Math hasn’t changed, but students – and the way they learn – have. In this revision of the Bittinger Worktext Series, the Bittinger author team brings their extensive experience to developmental math courses, paired with thoughtful integration of technology and content. The Bittinger Series enables students to get the most out of their course through their updated learning path, and new engaging exercises to support various types of student learning.

Bittinger offers respected content written by author-educators, tightly integrated with MyLabTM Math – the #1 choice in digital learning. Bringing the authors’ voices and their approach into the MyLab course gives students the motivation, engagement, and skill sets they need to master algebra.

Also available with MyLab Math

MyLabTM is the teaching and learning platform that empowers instructors to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student.

Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

If you would like to purchase both the physical text and MyLab Math, search for:

0134697391 / 9780134697390 Introductory Algebra, Books a la Carte Edition, Plus NEW MyLab Math with Pearson eText – Access Card Package, 13/e

Package consists of:

• 0134718232 / 9780134718231 Introductory Algebra, Books a la Carte Edition
• 0135115639 / 9780135115633 MyLab Math – Standalone Access Card – for Introductory Algebra

New and updated features of this title

• New Chapter Opener applications with graphics use current data and applications to present the math in context. These applications are linked to exercises in the text to help students model, visualize and learn the math. 
• New Student Activities begin with real-world data and guide students to examine a key concept in each chapter, while analyzing the data and connecting other concepts. There is 1 activity per chapter and they are available in the printed MyMathGuide.
• New Check Your Understanding with Reading Check and Concept Check exercises at the beginning of each section exercise set give students the opportunity to assess their grasp of the skills and concepts before they move on to the homework.
• New Skill Review in nearly every section of the text reviews a previously presented skill at the objective level where it is key to learning the new material.
• New Just-in-Time Review modules at the beginning of the text review the key topics from previous courses that are prerequisites for the new material in this course. 

Hallmark features of this title

• Margin Exercises help students apply concepts by solving problems that parallel the text Examples.
• Section Exercises include Skill Maintenance, Synthesis, and real-data Applications.
• Mid-Chapter Review with Concept Reinforcement, Guided Solutions, Mixed Review, and Understanding through Discussion and Writing helps students pause and actively review halfway through the chapter.
• Summary and Review at the end of each chapter includes:
  • Vocabulary Reinforcement, Concept Reinforcement, Study Guide, Review Exercises,  and Understanding through Writing and Discussion exercises. 
  • Chapter Tests, Chapter Test Prep videos, and Cumulative Review that review and reinforce skills and concepts.

Additional information

Dimensions	1.20 × 8.60 × 10.90 in
Imprint	Pearson
Format	gen
ISBN-13	09780134718231
ISBN-10	0134718232
Author	Judith A. Beecher, Barbara L. Johnson, Marvin L. Bittinger
Subjects	mathematics, higher education, Developmental Math, Elementary Algebra