Prealgebra and Introductory Algebra : An Applied Approach

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  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2010-03-05
  • Publisher: Brooks Cole
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As in previous editions, the focus in PREALGEBRA & INTRODUCTORY ALGEBRA remains on the Aufmann Interactive Method (AIM). Users are encouraged to be active participants in the classroom and in their own studies as they work through the How To examples and the paired Examples and You Try It problems. The role of "active participant" is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately work similar problems, helps them build their confidence and eventually master the concepts.

Table of Contents

Whole Numbers
Introduction to Whole Numbers
Addition and Subtraction of Whole Numbers
Multiplication and Division of Whole Numbers
The Order of Operations Agreement
Fractions and Decimals
The Least Common Multiple and Greatest Common Factor
Introduction to Fractions
Addition and Subtraction of Fractions
Multiplication and Division of Fractions
Introduction to Decimals
Operations with Decimals
The Order of Operations Agreement
Rational Numbers
Introduction to Integers
Addition and Subtraction of Integers
Multiplication and Division of Integers
Operations with Rational Numbers
The Order of Operations Agreement
Variable Expressions
Evaluating Variable Expressions
Simplifying Variable Expressions
Translating Verbal Expressions into Variable Expressions
Solving Equations
Introduction to Equations
General Equations -- Part I
General Equations -- Part II
Translating Sentences into Equations
Mixture and Uniform Motion Problems
Proportion and Percent
Ratios and Rates
The Basic Percent Equation
Simple Interest
Introduction to Geometry
Plane Geometric Figures
Statistics and Probability
Statistical Graphs
Statistical Measures
Introduction to Probability
Addition and Subtraction of Polynomials
Multiplication of Monomials
Multiplication of Polynomials
Integer Exponents and Scientific Notation
Division of Polynomials
Common Factors
Factoring Polynomials of the Form x2 + bx + c
Factoring Polynomials of the Form ax2 + bx + c
Special Factoring
Solving Equations
Rational Expressions
Multiplication and Division of Rational Expressions
Expressing Fractions in Terms of the Least Common Multiple (LCM)
Addition and Subtraction of Rational Expressions
Complex Fractions
Solving Equations Containing Fractions
Literal Equations
Application Problems
Linear Equations in Two Variables
The Rectangular Coordinate System
Linear Equations in Two Variables
Intercepts and Slopes of Straight Lines
Equations of Straight Lines
Systems of Linear Equations
Solving Systems of Linear Equations by Graphing
Solving Systems of Linear Equations by the Substitution Method
Solving Systems of Equations by the Addition Method
Application Problems in Two Variables
The Addition and Multiplication Properties of Inequalities
General Inequalities
Graphing Linear Inequalities
Radical Expressions
Introduction to Radical Expressions
Addition and Subtraction of Radical Expressions
Multiplication and Division of Radical Expressions
Solving Equations Containing Radical Expressions
Quadratic Equations
Solving Quadratic Equations by Factoring or by Taking Square Roots
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Using the Quadratic Formula
Graphing Quadratic Equations in Two Variables
Application Problems
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