Judy Beecher has a BA in mathematics from Indiana University and a MA 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 five grandchildren, and promoting charity projects.

Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and she is currently 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 Animations

Preface

Index of Applications

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

1.1 Solving Equations

1.2 Formulas and Applications

1.3 Applications and Problem Solving

1.4 Sets, Inequalities, and Interval Notation

1.5 Intersections, Unions, and Compound Inequalities

1.6 Absolute-Value Equations and Inequalities

2.1 Graphs of Equations

2.2 Functions and Graphs

2.3 Finding Domain and Range

2.4 Linear Functions: Graphs and Slope

2.5 More on Graphing Linear Equations

2.6 Finding Equations of Lines; Applications

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

3.5 Systems of Equations in Three Variables

3.6 Solving Applied Problems: Three Equations

3.7 Systems of Inequalities in Two Variables

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

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

4.6 Special Factoring

4.7 Factoring: A General Strategy

4.8 Applications of Polynomial 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

5.5 Solving Rational Equations

5.6 Applications and Proportions

5.7 Formulas and Applications

5.8 Variation and Applications

6.1 Radical Expressions and Functions

6.2 Rational Numbers as Exponents

6.3 Simplifying Radical Expressions

6.4 Addition, Subtraction, and More Multiplication

6.5 More on Division of Radical Expressions

6.6 Solving Radical Equations

6.7 Applications Involving Powers and Roots

6.8 The Complex Numbers

7.1 The Basics of Solving Quadratic Equations

7.2 The Quadratic Formula

7.3 Applications Involving Quadratic Equations

7.4 More on Quadratic Equations

7.5 Graphing f(x) = a(x - h)² + k

7.6 Graphing f(x) = ax² + bx + c

7.7 Mathematical Modeling with Quadratic Functions

7.8 Polynomial Inequalities and Rational Inequalities

8.1 Exponential Functions

8.2 Composite Functions and Inverse Functions

8.3 Logarithmic Functions

8.4 Properties of Logarithmic Functions

8.5 Natural Logarithmic Functions

8.6 Solving Exponential Equations and Logarithmic Equations

8.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions

9.1 Parabolas and Circles

9.2 Ellipses

9.3 Hyperbolas

9.4 Nonlinear Systems of Equations

APPENDIXES

A. Fraction Notation

B. Determinants and Cramer’s Rule

C. Elimination Using Matrices

D. The Algebra of Functions

Answers 

Guided Solutions

Glossary 

Index 

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