Instructor's Solutions Manual for Intermediate Algebra

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 mathematics from Clemson University, and she is currently pursuing a PhD 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. The Set of Real Numbers 

2. Order for the Real Numbers 

3. Graphing Inequalities on the Number Line 

4. Absolute Value 

5. Add Real Numbers 

6. Opposites, or Additive Inverses 

7. Subtract Real Numbers 

8. Multiply Real Numbers

9. Divide Real Numbers

10. Exponential Notation (Part 1)

11. Order of Operations

12. Translate to an Algebraic Expression

13. Evaluate Algebraic Expressions

14. Equivalent Fraction Expressions

15. The Commutative Laws and the Associative Laws

16. The Distributive Laws

17. Collecting Like Terms

18. Removing Parentheses and Collecting Like Terms

19. Exponential Notation (Part 2)

20. Scientific Notation






1. SOLVING LINEAR EQUATIONS AND INEQUALITIES



1.1 Solving Equations

1.2 Formulas and Applications

1.3 Applications and Problem Solving



Mid-Chapter Review



1.4 Sets, Inequalities, and Interval Notation



Translating for Success



1.5 Intersections, Unions, and Compound Inequalities

1.6 Absolute-Value Equations and Inequalities



Summary and Review

Test








2. GRAPHS, FUNCTIONS, AND APPLICATIONS



2.1 Graphs of Equations

2.2 Functions and Graphs

2.3 Finding Domain and Range



Mid-Chapter Review



2.4 Linear Functions: Graphs and Slope

2.5 More on Graphing Linear Equations



Visualizing for Success



2.6 Finding Equations of Lines; Applications



Summary and Review

Test

Cumulative Review








3. SYSTEMS OF EQUATIONS



3.1 Systems of Equations in Two Variables

3.2 Solving by Substitution

3.3 Solving by Elimination

3.4 Solving Applied Problems: Two Equations

Translating for Success



Mid-Chapter Review



3.5 Systems of Equations in Three Variables

3.6 Solving Applied Problems: Three Equations

3.7 Systems of Inequalities in Two Variables



Visualizing for Success

Summary and Review

Test

Cumulative Review








4. POLYNOMIALS AND POLYNOMIAL FUNCTIONS



4.1 Introduction to Polynomials and Polynomial Functions

4.2 Multiplication of Polynomials

4.3 Introduction to Factoring

4.4 Factoring Trinomials: x2 + bx + c



Mid-Chapter Review



4.5 Factoring Trinomials: ax2 + bx + c, a   ≠  1

4.6 Special Factoring



Visualizing for Success



4.7 Factoring: A General Strategy

4.8 Applications of Polynomial Equations and Functions



Translating for Success

Summary and Review

Test

Cumulative Review








5. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS



5.1 Rational Expressions and Functions: Multiplying, Dividing, and Simplifying

5.2 LCMs, LCDs, Addition, and Subtraction

5.3 Division of Polynomials

5.4 Complex Rational Expressions



Mid-Chapter Review



5.5 Solving Rational Equations

5.6 Applications and Proportions



Translating for Success



5.7 Formulas and Applications

5.8 Variation and Applications



Summary and Review

Test

Cumulative Review








6. RADICAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS



6.1 Radical Expressions and Functions

6.2 Rational Numbers as Exponents

6.3 Simplifying Radical Expressions

6.4 Addition, Subtraction, and More Multiplication



Mid-Chapter Review



6.5 More on Division of Radical Expressions

6.6 Solving Radical Equations

6.7 Applications Involving Powers and Roots



Translating for Success



6.8 The Complex Numbers



Summary and Review

Test

Cumulative Review








7. QUADRATIC EQUATIONS AND FUNCTIONS



7.1 The Basics of Solving Quadratic Equations

7.2 The Quadratic Formula

7.3 Applications Involving Quadratic Equations



Translating for Success



7.4 More on Quadratic Equations



Mid-Chapter Review



7.5 Graphing f(x) = a(x - h)2 + k

7.6 Graphing f(x) = ax2 + bx + c



Visualizing for Success



7.7 Mathematical Modeling with Quadratic Functions

7.8 Polynomial Inequalities and Rational Inequalities



Summary and Review

Test

Cumulative Review








8. EXPONENTIAL FUNCTIONS AND LOGARITHMIC FUNCTIONS



8.1 Exponential Functions

8.2 Composite Functions and Inverse Functions

8.3 Logarithmic Functions

8.4 Properties of Logarithmic Functions



Mid-Chapter Review



8.5 Natural Logarithmic Functions



Visualizing for Success



8.6 Solving Exponential Equations and Logarithmic Equations

8.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions



Translating for Success

Summary and Review

Test

Cumulative Review








9. CONIC SECTIONS



9.1 Parabolas and Circles

9.2 Ellipses



Mid-Chapter Review



9.3 Hyperbolas



Visualizing for Success



9.4 Nonlinear Systems of Equations



Summary and Review

Test

Cumulative Review






APPENDIXES

A. Fraction Notation

B. Determinants and Cramer’s Rule

C. Elimination Using Matrices

D. The Algebra of Functions




Answers 

Guided Solutions

Glossary 

Index