Introductory Algebra

by Miller

• ISBN13: 9780077281120
• ISBN10: 0077281128
• Edition: 2nd
• Format: Paperback
• Copyright: 2009-01-01
• Publisher: MCGRAW-HILL COLLEGE

Summary

Introductory Algebraoffers a refreshing approach to the traditional content of the course. Presented in worktext format,Introductory Algebrafocuses on solving equations and inequalities, graphing, polynomials, factoring, rational expressions, and radicals. Other topics include quadratic equations and an introduction to functions and complex numbers. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students.

Table of Contents

The Set of Real Numbers

Sets of Numbers and the Real Number Line

Order of Operations

Addition of Real Numbers

Subtraction of Real Numbers -- Problem Recognition Exercises-Addition and Subtraction of Signed Numbers

Multiplication and Division of Real Numbers

Properties of Real Numbers and Simplifying Expressions

Linear Equations and Inequalities

Addition, Subtraction, Multiplication, and Division Properties of Equality

Solving Linear Equations

Linear Equations: Clearing Fractions and Decimals -- Problem Recognition Exercises-Equations and Expressions

Applications of Linear Equations: Introduction to Problem Solving

Applications Involving Percents

Formulas and Applications of Geometry

Mixture Applications and Uniform Motion

Linear Inequalities

Graphing Linear Equations in Two Variables

Rectangular Coordinate System

Linear Equations in Two Variables

Slope of a Line

Slope-Intercept Form of a Line -- Problem Recognition Exercises-Linear Equations in Two Variables

Point-Slope Formula

Applications of Linear Equations

Introduction to Functions

Systems of Linear Equations in Two Variables

Solving Systems of Equations by the Graphing Method

Solving Systems of Equations by the Substitution Method

Solving Systems of Equations by the Addition Method -- Problem Recognition Exercises-Systems of Equations

Applications of Linear Equations in Two Variables

Linear Inequalities and Systems of Inequalities in Two Variables

Polynomials and Properties of Exponents

Exponents: Multiplying and Dividing Common Bases

More Properties of Exponents

Definitions of and

Scientific Notation -- Problem Recognition Exercises-Properties of Exponents

Addition and Subtraction of Polynomials

Multiplication of Polynomials

Division of Polynomials -- Problem Recognition Exercises-Operations on Polynomials

Factoring Polynomials

Greatest Common Factor and Factoring by Grouping

Factoring Trinomials of the Form

Factoring Trinomials: Trial-and-Error Method

Factoring Trinomials: AC-Method

Factoring Special Patterns

Sum and Difference of Cubes -- Problem Recognition Exercises-General Factoring Strategy

Solving Equations Using the Zero Product Rule -- Problem Recognition Exercises-Expressions and Polynomial Equations

Applications of Quadratic Equations

Rational Expressions

Introduction to Rational Expressions

Multiplication and Division of Rational Expressions

Least Common Denominator

Addition and Subtraction of Rational Expressions -- Problem Recognition Exercises-Operations on Rational Expressions

Complex Fractions

Rational Equations -- Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions

Applications of Rational Equations and Proportions

Variation

Radicals

Introduction to Roots and Radicals

Simplifying Radicals

Addition and Subtraction of Radicals

Multiplication of Radicals

Division of Radicals and Rationalization -- Problem Recognition Exercises-Operations on Radicals

Radical Equations

Rational Exponents

More Quadratic Equations

The Square Root Property

Completing the Square

Quadratic Formula -- Problem Recognition Exercises-Solving Quadratic Equations

Graphing Quadratic Functions

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