ASCOT Library Zabali Campus

Chapter I sets and operations –
Introduction –
Definitions, set notations, membership and operations –
Set notations and membership –
Operations on sets –
Chapter II the real numbers system –
The real numbers system –
Absolute value –
Properties of addition and multiplication –
Zero in the fundamental operations –
Algebraic expressions –
The four fundamental operations –
Division of polynomials –
Symbols of grouping –
Exercises –
Chapter III integral exponents –
Laws of exponents –
Zero and negative integers as exponents –
Scientific notation –
Exercises –
Chapter IV special products –
Product of two binomials –
Product of the sum and difference of two terms –
Square of the sum of two terms –
Binomials with common terms –
Square of a trinomial –
Cube of a binomial –
Other products –
Exercises –
Chapter V factoring –
Binomials –
Trinomials –
Multinomials of four or more terms –
Exercises –
Chapter VI algebraic fractions –
Permissible changes in sign –
Basic principles of fraction –
Reduction of fraction to lowest terms –
Complex fractions –
Exercises –
Chapter VII radicals –
Properties of radicals –
Fractional exponents –
Laws of radicals –
Simplification of radicals –
Operation of radicals –
Chapter VIII equations –
Linear equations in one unknown –
Quadratic equations –
Linear equations in two unknowns –
Linear equations in three unknowns –
Worded problems –
Exercises –
Chapter IX inequalities –
Properties of inequalities –
Linear inequalities in one variable –
System of linear inequalities –
Exercises –
Chapter X ratio, proportion and variation–
Ratio –
Proportion –
Variation –
Exercises.

Preface to the Fourth Edition
“The College Algebra Text/Workbook tends to explain the concepts and procedures as simply and clearly as possible. With the current educational trend, the fundamental principles of Algebra have been discussed in a more rigorous and varied manner. The problems presented as illustrative examples, seatworks and assignments have been carefully selected to provide the students with a thorough workout in the application of the basic principles of Algebra. With this, the students experience the evolution necessary to the learning process.
This text/workbook is self-explaining and self contained. The manner presented is such that the instructor need not result to another reference to answer questions that the students might ask.
The topics presented are needed to give solid foundation for the mathematics needed in their area of disciplines. Every topic have been reviewed for more clarity and understanding of the subject.
The exercises are part of normal lessons and are included to enable students understand faster.
The authors wish to acknowledge the comments and suggestions that have been received from faculties and students from all colleges and universities. These comments and suggestions are always welcome.
We hope that this text/workbook will serve the need of our students regardless of the course they hope to pursue in the future.”- Lorina Gison Salamat, Antonina Cruz Sta. Maria, and Merlyn Regacho Sevilla