Waubonsee Community College

Master math, algebra, Debra Anne Ross

eng

illustrations

index present

non fiction

Master math

402526809

Debra Anne Ross

algebra

From the Publisher: Introduction to Master Math: Algebra: Algebra is the second book in the Master Math series. The first, third, and fourth books are entitled Basic Math and Pre-Algebra, Pre-Calculus and Geometry, and Calculus. The Master Math series presents the general principles of mathematics from grade school through college including arithmetic, algebra, geometry, trigonometry, pre-calculus and introductory calculus. Algebra is a comprehensive algebra book that explains the subject matter in a way that makes sense to the reader. It begins with the most basic principles and progresses through more advanced topics to prepare a student for pre-calculus and calculus. Algebra explains the principles and operations of algebra, provides step-by-step procedures and solutions, and presents examples and applications. Algebra is a reference book for middle school and high school students that explains and clarifies the algebra principles they are learning in school. It is also a comprehensive reference source for students currently learning pre-calculus and calculus. Algebra is invaluable for students, parents, tutors and anyone needing a comprehensive algebra reference source. The information provided in each book and in the series as a whole is progressive in difficulty and builds on itself, which allows the reader to gain perspective on the connected nature of mathematics. The skills required to understand every topic presented are explained in an earlier chapter or book within the series. Each of the books contains a complete table of contents, a comprehensive index, and the tables of contents of the other books in the series that specific subjects, principles and formulas can be easily found. The books are written in a simple style that facilitates understanding and easy referencing of sought-after principles, definitions and explanations. Algebra and the Master Math series are not replacements for textbooks but rather reference books providing explanations and perspective. The Master Math series would have been invaluable to me during my entire education from grade school through graduate school. There is no other source that provides the breadth and depth of the Master Math series in a single book or series. Finally, mathematics is a language-the universal language. A person struggling with mathematics should approach it in the same fashion he or she would approach learning any other language. If someone moves to a foreign country, he or she does not expect to know the language automatically. It takes practice and contact with a language in order to master it. After a short time in the foreign country he or she would not say, 'I do not know this language well yet. I must not have an aptitude for it.' Yet many people have this attitude toward mathematics. If time is spent learning and practicing the principles, mathematics will become familiar and understandable. Don't give up

Introduction -- Chapter 1: Translating Problems Into Algebraic Equations -- 1-1: Introduction to algebra -- 1-2: Translating English into algebraic equations -- 1-3: Algebra terminology -- 1-4: Simple word problems -- Chapter 2: Simplifying Algebraic Equations -- 2-1: Commutative, associative, and distributive properties of addition and multiplication -- 2-2: Using associative and distributive properties -- 2-3: Combining like terms in algebraic equations -- 2-4: Simplifying algebraic equations by removing parentheses and combining like terms -- 2-5: General order to perform operations in algebra -- Chapter 3: Solving Simple Algebraic Equations -- 3-1: Solving algebraic equations that have one unknown variable -- 3-2: Solving simple algebraic equations containing fractions -- 3-3: Solving simple algebraic equations containing radicals -- Chapter 4: Algebraic Inequalities -- 4-1: Solving algebraic inequalities with one unknown variable -- Chapter 5: Polynomials -- 5-1: Definitions -- 5-2: Addition of polynomials -- 5-3: Subtraction of polynomials -- 5-4: Multiplication of polynomials -- 5-5: Division of polynomials -- 5-6: Factoring polynomials with a common monomial factor -- 5-7: Factoring polynomial expressions with the form ax2 + bx + c -- Chapter 6: Algebraic Fractions With Polynomial Expressions -- 6-1: factoring and reducing algebraic fractions -- 6-2: Multiplication of algebraic fractions -- 6-3: Division of algebraic fractions -- 6-4: Addition and subtraction of algebraic fractionsChapter 7: Solving Quadratic Polynomial Equations With One Unknown Variable -- 7-1: Defining and Solving Quadratic (Polynomial) Equations -- 7-2: Using factoring to solve quadratic equations with one unknown variable -- 7-3: Using the quadratic formula to solve quadratic equations with one unknown variable -- 7-4: Using the square root method to solve quadratic equations with one unknown variable -- 7-5: Using the method of completing the square to solve quadratic equations with one unknown variable -- Chapter 8: Solving Systems Of Linear Equations With Two Or Three Unknown Variables -- 8-1: Solving systems of linear equations with two or more unknown variables -- 8-2: Using the elimination method to solve systems of linear equations with two unknown variables -- 8-3: Using the substitution method to solve systems of linear equations with two unknown variables -- 8-4: Using the method of determinants to solve systems of two linear equations with two unknown variables -- 8-5: Solving systems of three linear equations with three unknown variables -- 8-6: Using the elimination method to solve systems of three linear equations with three unknown variables -- 8-7: Using the substitution method to solve systems of three linear equations with three unknown variables -- 8-8: Using the matrix method to solve systems of three linear equations with three unknown variables -- 8-9: Using the method of determinants of a square matrix to solve systems of three linear equations with three unknown variables -- Chapter 9: Working with coordinate systems and graphing equations -- 9-1: Introduction and definitions -- 9-2: Graphing linear equations -- 9-3: Slope of a line -- 9-4: Graphs of the equations for the parabola -- 9-5: Graphing quadratic equations -- 9-6: Using graphing to solve quadratic equations -- 9-7: Using graphing to solve two linear equations with two unknown variables -- 9-8: Examples of other equation forms that graph to shapes on a coordinate system -- Index

Algebra