Fundamentals of Algebra
The following tapes correspond to the text Introductory
& Intermediate Algebra: A Combined
Approach, by Bittinger and Beecher (AddisonWesley Publ., 1999).
Tape #  Section  Time  Title 
Chapter 1 Introduction to Real Numbers and Algebraic Expressions  
V100D.01  1.1  7:08  Introduction to Algebra 
1.2  20:37  The Real Numbers  
1.3  14:58  Addition of Real Numbers  
1.4  7:52  Subtraction of Real Numbers  
V100D.02  1.5  13:52  Multiplication of Real Numbers 
1.6  18:34  Division of Real Numbers  
1.7  22:12  Properties of Real Numbers  
1.8  15:35  Simplifying Expressions; Order of Operations  
Chapter 2 Solving Equations and Inequalities  
V100D.03  2.1  13:27  Solving Equations: The Addition Principle 
2.2  9:36  Solving Equations: The Multiplication Principle  
2.3  16:50  Using the Principles Together  
2.4  16:08  Applications and Problem Solving  
V100D.04  2.5  17:13  Applications with Percents 
2.6  6:00  Formula  
2.7  14:01  Solving Inequalities  
2.8  13:30  Applications and Problem Solving with Inequalities  
Chapter 3 Graphs of Equations; Data Analysis  
V100D.05  3.1  17:53  Graphs and Applications 
3.2  22:02  Graphing Linear Equations  
3.3  7:38  More with Graphing and Intercepts  
3.4  15:28  Applications and Data Analysis with Graphs  
Chapter 4 Polynomials: Operations  
V100D.06  4.1  16:44  Integers as Exponents 
4.2  16:57  Exponents and Scientific Notation  
4.3  16:55  Introduction to Polynomials  
4.4  13:35  Addition and Subtraction of Polynomials  
V100D.07  4.5  14:45  Multiplication of Polynomials 
4.6  18:14  Special Products  
4.7  16:46  Operations with Polynomials in Several Variables  
4.8  18:58  Division of Polynomials  
Chapter 5 Polynomials: Factoring  
V100D.08  5.1  13:40  Introduction to Factoring 
5.2  17:34  Factoring Trinomials of the Type x^{2} + bx + c  
5.3  18:48  Factoring ax^{2} + bx + c, a ≠ 1 Using FOIL  
5.4  10:21  Factoring ax^{2} + bx + c, a ≠ 1Using Grouping  
V100D.09  5.5  15:50  Factoring Trinomial Squares and Differences of Squares 
5.6  15:45  Factoring Sums and Differences of Cubes  
5.7  13:28  Factoring: A General Strategy  
5.8  16:36  Solving Quadratic Equations by Factoring  
5.9  15:57  Applications and Problem Solving  
Chapter 6 Rational Expressions and Equations  
V100D.10  6.1A  15:33  Rational Expressions: Multiplying, Dividing and Simplifying 
6.1B  8:08  Rational Expressions: Multiplying, Dividing and Simplifying 

6.2  10:38  Least Common Multiples and Denominators  
6.3  14:13  Adding Rational Expressions  
6.4  19:18  Subtracting Rational Expressions  
6.5  13:57  Solving Rational Expressions  
V100D.11  6.6  15:38  Applications, Proportions and Problem Solving 
6.7  10:58  Formulas and Applications  
6.8  15:00  Complex Rational Expressions  
6.9  17:41  Variation and Applications  
Chapter 7 Graphs, Functions and Applications  
V100D.12  7.1  14:28  Functions and Graphs 
7.2  10:29  Linear Functions: Graphs and Applications  
7.3  11:36  Another Look at Linear Functions  
7.4  18:54  Other Equations of Lines  
7.5  13:39  Applications of Linear Functions  
7.6  7:08  Graphing Linear Inequalities in Two Variables  
Chapter 8 Systems of Equations  
V100D.13  8.1  18:30  Systems of Equations in Two Variables 
8.2  18:24  Solving by Substitution and Elimination  
8.3  18:14  Systems Applied Problems : Systems of Two Equations  
V100D.14  8.4  14:22  Systems of Equations in Three Variables 
8.5  16:09  Solving Applied Problems: Systems of Three Equations  
8.6  6:17  Business and Economic Applications  
Chapter 9 More on Inequalities  
V100D.15  9.1  23:49  Sets, Interval Notation, and Inequalities 
9.2  19:41  Intersections, Unions, and Compound Inequalities  
9.3  20:45  AbsoluteValue Equations and Inequalities  
9.4  11:04  Systems of Linear Inequalities in Two Variables  
Chapter 10 Radical Expressions, Equations and Functions  
V100D.16  10.1  12:00  Radical Expressions and Functions 
V100D.17  10.2  15:14  Rational Numbers as Exponents 
10.3  16:02  Simplifying Radical Expressions  
10.4  11:02  Addition, Subtraction, and More Multiplication  
10.5  13:18  More on Division of Radical Expressions  
10.6  23:30  Solving Radical Equations  
10.7  13:40  Applications Involving Powers and Roots  
10.8  20:23  The Complex Numbers  
Chapter 11 Quadratic Equations and Functions  
V100D.18  11.1  19:29  The Basics of Solving Quadratic Equations 
11.2  16:50  The Quadratic Formula  
11.3  22:05  Applications Involving Quadratic Equations  
11.4  22:05  More on Quadratic Equations  
V100D.19  11.5  20:40  Graphs of Quadratic Functions of the type f(x)=a(xh)^{2}+k 
11.6  14:55  Graphs of Quadratic Functions of the type f(x)=ax^{2} + bx +c 

11.7  14:23  Mathematical Modeling with Quadratic Functions  
11.8  20:54  Polynomial and Rational Inequalities  
Chapter 12 Exponential and Logarithmic Functions  
V100D.20  12.1  13:32  Exponential Functions 
12.2  21:39  Inverse and Composite Functions  
12.3  11:02  Logarithmic Functions  
V100D.21  12.4  14:07  Properties of Logarithmic Functions 
12.5  7:09  Natural Logarithmic Functions  
12.6  24:48  Solving Exponential and Logarithmic Equations  
12.7  11:54  Mathematical Modeling with Exponential and Logarithmic Functions 