Introductory Algebra : A Real-World Approach

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  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2006-07-25
  • Publisher: McGraw-Hill Science/Engineering/Math
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Introductory Algebra prepares students for Intermediate Algebra by covering fundamental algebra concepts and key concepts needed for further study. Students of all backgrounds will be delighted to find a refreshing book that appeals to every learning style and reaches out to diverse demographics. Through down-to-earth explanations, patient skill-building, and exceptionally interesting and realistic applications, this worktext will empower students to learn and master algebra in the real world.

Table of Contents

A Real-World Approach
R Prealgebra Review
R1 Fractions
R2 Operations with Fractions
R3 Decimals and Percents
Real Numbers And Their Properties
Introduction to Algebra
The Real Numbers
Adding and Subtracting Real Numbers
Multiplying and Dividing Real Numbers
Order of Operations
Properties of the Real Numbers
Simplifying Expressions
Equations, Problem Solving, And Inequalities
The Addition and Subtraction Properties of Equality
The Multiplication and Division Properties of Equality: Applications with Percents
Linear and Literal Equations
Problem Solving: Integers, General, and Geometry Problems
Problem Solving: Motion, Mixture, and Investment Problems
Formulas and Geometry Applications
Properties of Inequalities
Graphs Of Linear Equations
Graphs and Applications
Graphing Linear Equations in Two Variables
Graphing Lines Using Intercepts
The Slope of a Line
Exponents And Polynomials
The Product, Quotient, and Power Rules for Exponents
Integer Exponents
Applications of Exponents: Scientific Notation
Polynomials: An Introduction
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Special Products of Polynomials
Division of Polynomials
Common Factors and Grouping
Factoring x^2 + bx + c
Factoring ax^2 + bx + c, a 1
Factoring Squares of Binomials
A General Factoring Strategy
Solving Quadratic Equations by Factoring
Applications of Quadratics
Rational Expressions And Equations
Building and Reducing Rational Expressions
Multiplication and Division of Rational Expressions
Addition and Subtraction of Rational Expressions
Complex Fractions
Solving Equations Containing Rational Expressions
Ratio, Proportion, and Applications
Graphs, Slopes, Inequalities, and Applications
Equations of Lines
Applications of Equations of Lines
Graphing Linear Inequalities
Direct and Inverse Variation
Solving Systems Of Linear Equations And Inequalities
Solving Systems of Equations by Graphing
Solving Systems of Equations by Substitution
Solving Systems of Equations by Elimination
Coin, General, Motion, and Investment Problems
Systems of Linear Inequalities
Roots and Radicals
Finding Roots
Multiplication and Division of Radicals
Addition and Subtraction of Radicals
Simplifying Radicals
Quadratic Equations
Solving Quadratic Equations by the Square Root Property
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by the Quadratic Formula
Graphing Quadratic Equations
Applications: Pythagoras's Theorem
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