Introductory and Intermediate Algebra

by Bittinger, Marvin L.; Beecher, Judith A.; Johnson, Barbara L.

• ISBN13: 9780321917898
• ISBN10: 0321917898
• Edition: 5th
• Format: Paperback
• Copyright: 2013-12-24
• Publisher: Pearson

Summary

The  Bittinger Worktext Series recognizes that math hasn’t changed, but students–and the way they learn math–have. This latest edition continues the Bittinger tradition of objective-based, guided learning, while also integrating timely updates to the proven pedagogy. This edition has a greater emphasis on guided learning and helping students get the most out of all of the resources available, including new mobile learning resources, whether in a traditional lecture, hybrid, lab-based, or online course.

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for: 

0321951786 / 9780321951786 Introductory and Intermediate Algebra, Plus NEW MyMathLab with Pearson eText -- Access Card Package

Package consists of:   

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

0321917898 / 9780321917898 Introductory and Intermediate Algebra

Author Biography

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University Purdue University Indianapolis, 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. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana, with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four 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. In addition to her career in textbook publishing, she spends time traveling, enjoying 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 math from Clemson University. She has taught high school and college math for 30  years, and 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 recently earned a black belt in karate.

Table of Contents

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 Introduction to Graphing

3.2 Graphing Linear Equations

3.3 More with Graphing and Intercepts

            Visualizing for Success

            Mid-Chapter Review

3.4 Slope and Applications

            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

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 Sums or Differences of Cubes

5.7 Factoring: A General Strategy

5.8 Solving Quadratic Equations by Factoring

5.9 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 Variation and Applications

            Summary and Review

            Test

            Cumulative Review

 

7. Graphs, Functions, and Applications

7.1 Functions and Graphs

7.2 Finding Domain and Range

            Mid-Chapter Review

7.3 Linear Functions: Graphs and Slope

7.4 More on Graphing Linear Equations

            Visualizing for Success

7.5 Finding Equations of Lines; Applications

            Summary and Review

            Test

            Cumulative Review

 

8. Systems of Equations

8.1 Systems of Equations in Two Variables

8.2 Solving by Substitution

8.3 Solving by Elimination

8.4 Solving Applied Problems: Two Equations

            Translating for Success

            Mid-Chapter Review

8.5 Systems of Equations in Three Variables

8.6 Solving Applied Problems: Three Equations

            Summary and Review

            Test

            Cumulative Review

 

9. More on Inequalities

9.1 Sets, Inequalities, and Interval Notation

            Translating for Success

9.2 Intersections, Unions, and Compound Inequalities

            Mid-Chapter Review

9.3 Absolute-Value Equations and Inequalities

9.4 Systems of Inequalities in Two Variables

            Visualizing for Success

            Summary and Review

            Test

            Cumulative Review

 

10. Radical Expressions, Equations, and Functions

10.1 Radical Expressions and Functions

10.2 Rational Numbers as Exponents

10.3 Simplifying Radical Expressions

10.4 Addition, Subtraction, and More Multiplication

            Mid-Chapter Review

10.5 More on Division of Radical Expressions

10.6 Solving Radical Equations

10.7 Applications Involving Powers and Roots

            Translating for Success

10.8 The Complex Numbers

            Summary and Review

            Test

            Cumulative Review

 

11. Quadratic Equations and Functions

11.1 The Basics of Solving Quadratic Equations

11.2 The Quadratic Formula

11.3 Applications Involving Quadratic Equations

            Translating for Success

11.4 More on Quadratic Equations

            Mid-Chapter Review

11.5 Graphing f(x) = a(x - h)² + k

11.6 Graphing f(x) = ax² + bx + c

            Visualizing for Success

11.7 Mathematical Modeling with Quadratic Functions

11.8 Polynomial Inequalities and Rational Inequalities

            Summary and Review

            Test

            Cumulative Review

 

12. Exponential Functions and Logarithmic Functions

12.1 Exponential Functions

12.2 Composite Functions and Inverse Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithmic Functions

            Mid-Chapter Review

12.5 Natural Logarithmic Functions

            Visualizing for Success

12.6 Solving Exponential Equations and Logarithmic Equations

12.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions

            Translating for Success

            Summary and Review

            Test

            Cumulative Review

 

Appendices

A. Factoring and LCMs

B. Fraction Notation

C. Exponential Notation and Order of Operations

D. Introductory Algebra Review

E. Mean, Median, and Mode

F. Synthetic Division

G. Determinants and Cramer’s Rule

H. Elimination Using Matrices

I. The Algebra of Functions

J. Distance, Midpoints, and Circles

 

Answers

Guided Solutions

Glossary

Index

Additional Instructor's Answers