Introductory Algebra

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  • Edition: 9th
  • Format: Paperback
  • Copyright: 2003-01-01
  • Publisher: Addison Wesley
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This text is designed to provide an interactive learning experience between the learner and the exposition, annotated examples, art, and the exercises you will find within. The first book on the market to introduce a "learn as you go" approach by including practice exercises in the margins of the text, this best seller uses real-data applications to help apply mathematics to your everyday life. Concepts and skills learned as you progress through the text are revisited again and again in the form of cumulative reviews, skill maintenance exercises, and synthesis exercises to help you retain what you have learned and see how it all relates together.

Table of Contents

Diagnostic Test
R. Prealgebra Review
Factoring and LCMs
Fractional Notation
Decimal Notation
Percent Notation
Exponential Notation and Order of Operations
Introduction to Real Numbers and Algebraic Expressions
Introduction to Algebra
The Real Numbers
Addition of Real Numbers
Subtraction of Real Numbers
Multiplication of Real Numbers
Division of Real Numbers
Properties of Real Numbers
Simplifying Expressions; Order of Operations
Solving Equations and Inequalities
Solving Equations: The Addition Principles
Solving Equations: The Multiplication Principle
Using the Principles Together
Applications and Problem Solving
Applications with Percents
Solving Inequalities
Applications and Problem Solving with Inequalities
Graphs of Equations
Data Analysis
Graphs and Applications
Graphing Linear Equations
More on Graphing Linear Equations
Applications and Data Analysis with Graphs
Polynomials: Operations
Integers as Exponents
Exponents and Scientific Notation
Introduction to Polynomials
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Special Products
Operations with Polynomials in Several Variables
Division of Polynomials
Polynomials: Factoring
Introduction to Factoring
Factoring Trinomials of the Type x2 + bx + c
Factoring ax2 + bx + c, a = 1, Using FOIL
Factoring ax + bx+ c, a = 1 Using Grouping
Factoring Trinomial Squares and Differences of Squares
Factoring : A General Strategy
Solving Quadratic Equations by Factoring
Applications and Problem Solving
Rational Expressions and Equations
Multiplying and Simplifying Rational Expressions
Division and Reciprocals
Least Common Multiples and Denominators
Adding Rational Expressions
Subtracting Rational Expressions
Solving Rational Equations
Applications, Proportions, and Problem Solving
Formulas and Applications
Complex Rational Expressions
Graphs, Slope, and Applications
Slope and Slope-Intercept Form
Equations of Lines
Parallel and Perpendicular Lines
Graphing Inequalities in Two Variables
Direct and Inverse Variation
Systems of Equations
Systems of Equations in Two Variables
The Substitution Method
The Elimination Method
Applications and Problem Solving
Applications with Motion
Radical Expressions and Equations
Introduction to Square Roots and Radical Expressions
Multiplying and Simplifying with Radical Expressions
Quotients Involving Square Roots
Addition, Subtraction, and More Multiplication
Radical Equations
Applications with Right Triangles
Quadratic Equations
Introduction to Quadratic Equations
Solving Quadratic Equations by Completing the Square
The Quadratic Formula
Applications and Problem Solving
Graphs of Quadratic Equations
Final Examination
Factoring Sums or Differences of Cubes
Higher Roots
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