Intermediate Algebra

Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet. The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks.

Note: Each chapter is preceded by Motivating the Chapter, includes a Mid-Chapter Quiz, and concludes with What Did You Learn? (Chapter Summary), Review Exercises, and a Chapter Test.
1. Fundamentals of Algebra
1.1 The Real Number System
1.2 Operations with Real Numbers
1.3 Properties of Real Numbers
1.4 Algebraic Expressions
1.5 Constructing Algebraic Expressions
2. Linear Equations and Inequalities
2.1 Linear Equations
2.2 Linear Equations and Problem Solving
2.3 Business and Scientific Problems
2.4 Linear Inequalities
2.5 Absolute Value Equations and Inequalities
3. Graphs and Functions
3.1 The Rectangular Coordinate System
3.2 Graphs of Equations
3.3 Slope and Graphs of Linear Equations
3.4 Equations of Lines
3.5 Graphs of Linear Inequalities
3.6 Relations and Functions
3.7 Graphs of Functions
4. Systems of Equations and Inequalities
4.1 Systems of Equations
4.2 Linear Systems in Two Variables
4.3 Linear Systems in Three Variables
4.4 Matrices and Linear Systems
4.5 Determinants and Linear Systems
4.6 Systems of Linear Inequalities
Cumulative Test: Chapters 1-4
5. Polynomials and Factoring
5.1 Integer Exponents and Scientific Notation
5.2 Adding and Subtracting Polynomials
5.3 Multiplying Polynomials
5.4 Factoring by Grouping and Special Forms
5.5 Factoring Trinomials
5.6 Solving Polynomial Equations by Factoring
6. Rational Expressions, Equations, and Functions
6.1 Rational Expressions and Functions
6.2 Multiplying and Dividing Rational Expressions
6.3 Adding and Subtracting Rational Expressions
6.4 Complex Fractions
6.5 Dividing Polynomials and Synthetic Division
6.6 Solving Rational Equations
6.7 Applications and Variation
7. Radicals and Complex Numbers
7.1 Radicals and Rational Exponents
7.2 Simplifying Radical Expressions
7.3 Adding and Subtracting Radical Expressions
7.4 Mulitplying and Dividing Radical Expressions
7.5 Radical Equations and Applications
7.6 Complex Numbers
Cumulative Test: Chapters 5-7
8. Quadratic Equations, Functions, and Inequalities
8.1 Solving Quadratic Equations: Factoring and Special Forms
8.2 Completing the Square
8.3 The Quadratic Formula
8.4 Graphs of Quadratic Functions
8.5 Applications of Quadratic Equations
8.6 Quadratic and Rational Inequalities
9. Exponential and Logarithmic Functions
9.1 Exponential Functions
9.2 Composite and Inverse Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
9.5 Solving Exponential and Logarithmic Equations
9.6 Applications
10. Conics
10.1 Circles and Parabolas
10.2 Ellipses
10.3 Hyperbolas
10.4 Solving Nonlinear Systems of Equations
Cumulative Test: Chapters 8-10
11. Sequences, Series, and the Binomial Theorem
11.1 Sequences and Series
11.2 Arithmetic Sequences
11.3 Geometric Sequences and Series
11.4 The Binomial Theorem
Appendix A. Introduction to Graphing Calculators
Appendix B. Further Concepts in Geometry (web)
B.1 Exploring Congruence and Similarity
B.2 Angles
Appendix C. Further Concepts in Statistics (web)
Appendix D. Introduction to Logic (web)
D.1 Statements and Truth Tables
D.2 Implications, Quantifiers, and Venn Diagrams
D.3 Logical Arguments
Appendix E. Counting Principles (web)
Appendix F. Probability (web)
Answers to Odd-Numbered Exercises, Quizzes, and Tests
Index of Applications
Index