Master Math

by Ross, Debra Anne

• ISBN13: 9781598639803
• ISBN10: 1598639803
• Edition: 2nd
• Format: Paperback
• Copyright: 2009-05-21
• Publisher: Cengage Learning PTR

Summary

Master Math: Algebra" makes the transition from pre-algebra smooth and stress-free. This algebra reference guide begins with the most basic fundamental principles and progresses through more advanced topics. With its clear, easy-to-understand manner, the book makes learning and understanding algebraic equations, inequalities, polynomials, linear equations and more as simple as "two plus two.

Table of Contents

Introduction	p. xi
Translating Problems into Algebraic Equations	p. 1
Introduction to Algebra	p. 2
Translating English into Algebraic Equations	p. 3
Algebra Terminology	p. 4
Simple Word Problems	p. 8
Simplifying Algebraic Equations	p. 21
Commutative, Associative, and Distributive Properties of Addition and Multiplication	p. 22
Using Associative and Distributive Properties	p. 23
Combining Like Terms in Algebraic Equations	p. 25
Simplifying Algebraic Equations by Removing Parentheses and Combining Like Terms	p. 28
The General Order to Perform Operations in Algebra	p. 30
Solving Simple Algebraic Equations	p. 33
Solving Algebraic Equations That Have One Unknown Variable	p. 34
Solving Simple Algebraic Equations Containing Fractions	p. 42
Solving Simple Algebraic Equations Containing Radicals	p. 47
Algebraic Inequalities	p. 51
Solving Algebraic Inequalities with One Unknown Variable	p. 51
Polynomials	p. 55
Definitions	p. 56
Addition of Polynomials	p. 57
Subtraction of Polynomials	p. 58
Multiplication of Polynomials	p. 59
Division of Polynomials	p. 61
Factoring Polynomials with a Common Monomial Factor	p. 67
Factoring Polynomial Expressions with the Form ax2 + bx + c	p. 68
Algebraic Fractions with Polynomial Expressions	p. 81
Factoring and Reducing Algebraic Fractions	p. 82
Multiplication of Algebraic Fractions	p. 83
Division of Algebraic Fractions	p. 84
Addition and Subtraction of Algebraic Fractions	p. 85
Solving Quadratic Polynomial Equations with One Unknown Variable	p. 91
Defining and Solving Quadratic (Polynomial) Equations	p. 92
Using Factoring to Solve Quadratic Equations with One Unknown Variable	p. 93
Using the Quadratic Formula to Solve Quadratic Equations with One Unknown Variable	p. 97
Using the Square Root Method to Solve Quadratic Equations with One Unknown Variable	p. 101
Using the Method of Completing the Square to Solve Quadratic Equations with One Unknown Variable	p. 103
Solving Systems of Linear Equations with Two or Three Unknown Variables	p. 107
Solving Systems of Linear Equations with Two or More Unknown Variables	p. 108
Using the Elimination Method to Solve Systems of Linear Equations with Two Unknown Variables	p. 110
Using the Substitution Method to Solve Systems of Linear Equations with Two Unknown Variables	p. 115
Using the Method of Determinants to Solve Systems of Two Linear Equations with Two Unknown Variables	p. 118
Solving Systems of Three Linear Equations with Three Unknown Variables	p. 123
Using the Elimination Method to Solve Systems of Three Linear Equations with Three Unknown Variables	p. 124
Using the Substitution Method to Solve Systems of Three Linear Equations with Three Unknown Variables	p. 128
Using the Matrix Method to Solve Systems of Three Linear Equations with Three Unknown Variables	p. 133
Using the Method of Determinants of a Square Matrix to Solve Systems of Three Linear Equations with Three Unknown Variables	p. 140
Working with Coordinate Systems and Graphing Equations	p. 147
Introduction and Definitions	p. 148
Graphing Linear Equations	p. 153
Slope of a Line	p. 159
Graphs of the Equations for the Parabola	p. 164
Graphing Quadratic Equations	p. 166
Using Graphing to Solve Quadratic Equations	p. 170
Using Graphing to Solve Two Linear Equations with Two Unknown Variables	p. 175
Examples of Other Equation Forms That Graph to Shapes on a Coordinate System	p. 179
Index	p. 185
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