Master Math: Algebra: Algebra

by Debra Anne Ross

Overview

With the rise digital recording software and the advent of the "one man computer music studio" there has been an astronomical rise in the number of people with software instruments, but many of these musicians have no idea how to use the modular synthesizers included with their music software programs. "Becoming a Synthesizer Wizard: From Presets to Power User" is the first book that explains what a modular synthesizer is, how it works, and how to use software synthesizers to make music. The book takes a highly practical approach to the subject providing a readable guide which opens up the subject to a broad spectrum of readers. It begins by explaining what the basic building blocks of modular synthesis are, and how they interact. Then it continues to specific exercises utilizing software synthesizers that will be readily available to the reader, regardless of platform or digital audio workstation of choice.

Product Details

ISBN-13:	9781435455139
Publisher:	Course Technology PTR
Publication date:	01/05/2009
Series:	Master Math
Sold by:	CENGAGE LEARNING
Format:	eBook
Pages:	208
File size:	1 MB

About the Author

Debra Anne Ross has a double BA in Chemistry and Biology from the University of California, Santa Cruz, and and MS in Chemical Engineering from Stanford University. Debra's career encompasses biology, chemistry, biochemistry, engineering, biosensors, pharmaceutical drug discovery, and intellectual property. She is the author of the popular Master Math books, The 3:00 PM Secret: Live Slim and Strong Live Your Dreams, The 3:00 PM Secret: Ten Day Dream Diet (2009), and Arrows Through Time: A Time Travel Tale of Adventure, Courage, and Faith (2009).

Table of Contents

Introduction xi

Chapter 1 Translating Problems into Algebraic Equations 1

1.1 Introduction to Algebra 2

1.2 Translating English into Algebraic Equations 3

1.3 Algebra Terminology 4

1.4 Simple Word Problems 8

Chapter 2 Simplifying Algebraic Equations 21

2.1 Commutative, Associative, and Distributive Properties of Addition and Multiplication 22

2.2 Using Associative and Distributive Properties 23

2.3 Combining Like Terms in Algebraic Equations 25

2.4 Simplifying Algebraic Equations by Removing Parentheses and Combining Like Terms 28

2.5 The General Order to Perform Operations in Algebra 30

Chapter 3 Solving Simple Algebraic Equations 33

3.1 Solving Algebraic Equations That Have One Unknown Variable 34

3.2 Solving Simple Algebraic Equations Containing Fractions 42

3.3 Solving Simple Algebraic Equations Containing Radicals 47

Chapter 4 Algebraic Inequalities 51

4.1 Solving Algebraic Inequalities with One Unknown Variable 51

Chapter 5 Polynomials 55

5.1 Definitions 56

5.2 Addition of Polynomials 57

5.3 Subtraction of Polynomials 58

5.4 Multiplication of Polynomials 59

5.5 Division of Polynomials 61

5.6 Factoring Polynomials with a Common Monomial Factor 67

5.7 Factoring Polynomial Expressions with the Form ax2 + bx + c 68

Chapter 6 Algebraic Fractions with Polynomial Expressions 81

6.1 Factoring and Reducing Algebraic Fractions 82

6.2 Multiplication of Algebraic Fractions 83

6.3 Division of Algebraic Fractions 84

6.4 Addition and Subtraction of Algebraic Fractions 85

Chapter 7 Solving Quadratic Polynomial Equations with One Unknown Variable 91

7.1 Defining and Solving Quadratic (Polynomial) Equations 92

7.2 Using Factoring toSolve Quadratic Equations with One Unknown Variable 93

7.3 Using the Quadratic Formula to Solve Quadratic Equations with One Unknown Variable 97

7.4 Using the Square Root Method to Solve Quadratic Equations with One Unknown Variable 101

7.5 Using the Method of Completing the Square to Solve Quadratic Equations with One Unknown Variable 103

Chapter 8 Solving Systems of Linear Equations with Two or Three Unknown Variables 107

8.1 Solving Systems of Linear Equations with Two or More Unknown Variables 108

8.2 Using the Elimination Method to Solve Systems of Linear Equations with Two Unknown Variables 110

8.3 Using the Substitution Method to Solve Systems of Linear Equations with Two Unknown Variables 115

8.4 Using the Method of Determinants to Solve Systems of Two Linear Equations with Two Unknown Variables 118

8.5 Solving Systems of Three Linear Equations with Three Unknown Variables 123

8.6 Using the Elimination Method to Solve Systems of Three Linear Equations with Three Unknown Variables 124

8.7 Using the Substitution Method to Solve Systems of Three Linear Equations with Three Unknown Variables 128

8.8 Using the Matrix Method to Solve Systems of Three Linear Equations with Three Unknown Variables 133

8.9 Using the Method of Determinants of a Square Matrix to Solve Systems of Three Linear Equations with Three Unknown Variables 140

Chapter 9 Working with Coordinate Systems and Graphing Equations 147

9.1 Introduction and Definitions 148

9.2 Graphing Linear Equations 153

9.3 Slope of a Line 159

9.4 Graphs of the Equations for the Parabola 164

9.5 Graphing Quadratic Equations 166

9.6 Using Graphing to Solve Quadratic Equations 170

9.7 Using Graphing to Solve Two Linear Equations with Two Unknown Variables 175

9.8 Examples of Other Equation Forms That Graph to Shapes on a Coordinate System 179

Index 185