Introductory Algebra through Applications

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  • Edition: 1st
  • Format: Paperback
  • Copyright: 1/1/2005
  • Publisher: Addison Wesley
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Throughout this text, motivating real-world applications, examples, and exercises demonstrate how integral mathematical understanding is to student mastery in other disciplines, a variety of occupations, and everyday situations. A distinctive side-by-side format, pairing each example with a corresponding practice exercise, encourages students to get actively involved in the mathematical content from the start. Unique Mindstretchers target different levels and types of student understanding in one comprehensive problem set per section. Mindstretchers incorporate related investigation, critical thinking, reasoning, and pattern recognition exercises along with corresponding group work and historical connections. to show how mathematics has evolved over the centuries, in many cultures, and throughout the world, each chapter features a compelling Cultural Note that investigates and illustrates the origins of mathematical concepts. Diverse topics include art, music, the evolution of digit notation, and the ancient practice of using a scale to find an unknown weight.

Table of Contents

R. Pre-algebra Review
Exponents and Order of Operations
Factors, Primes, and Least Common Multiples
Percent Conversions
Introduction to Real Numbers and Algebraic Expressions
Integers, Rational Numbers, and the Real Number Line
Addition of Real Numbers
Subtraction of Real Numbers
Multiplication of Real Numbers
Division of Real Numbers
Algebraic Expressions, Translations, and Exponents
Evaluating Algebraic Expressions and Formulas
Simplifying Algebraic Expressions
Solving Linear Equations and Inequalities
Solving Linear Equations: The Addition Property
Solving Linear Equations: The Multiplication Property
Solving Linear Equations by Combining Properties
Solving Literal Equations and Formulas
Solving Equations Involving Percent
Solving Inequalities
Graphing Linear Equations and Inequalities
Introduction to Graphing
Linear Equations and Their Graphs
More on Linear Equations and Their Graphs
Linear Inequalities and Their Graphs
Solving Systems of Linear Equations
Introduction to Systems of Linear Equations: Solving by Graphing
Solving Systems of Linear Equations by Substitution
Solving Systems of Linear Equations by Elimination
Exponents and Polynomials
Laws of Exponents
More Laws of Exponents and Scientific Notation
Basic Concepts of Polynomials
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Special Products
Division of Polynomials
Factoring Polynomials
Common Factors and Factoring by Grouping
Factoring Trinomials Whose Leading Coefficient Is One
Factoring Trinomials Whose Leading Coefficient Is Not One
Factoring Perfect Square Trinomials and the Difference of Squares
Solving Quadratic Equations by Factoring
Rational Expressions and Equations
Rational Expressions
Multiplication and Division of Rational Expressions
Addition and Subtraction of Rational Expressions
Complex Rational Expressions
Solving Rational Equations
Ratio and Proportion
Radical Expressions and Equations
Introduction to Radical Expressions
Addition and Subtraction of Radical Expressions
Multiplication and Division of Radical Expressions
Solving Radical Equations
More on Quadratic Equations
Solving Quadratic Equations by the Square Root Property
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations Using the Quadratic Formula
Graphing Quadratic Equations in Two Variables
Table of Symbols
Table of Abbreviations
Fractional, Decimal and Percent Equivalents
Geometric Formulas
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