Intermediate Algebra

by Bello, Ignacio

• ISBN13: 9780072831061
• ISBN10: 0072831065
• Edition: 2nd
• Format: Paperback
• Copyright: 2005-02-15
• Publisher: McGraw-Hill Science/Engineering/Math

Summary

Intermediate Algebra prepares students for further courses in the college math curriculum. 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

The Real Numbers

Numbers and Their Properties

Operations and Properties of Real Numbers

Properties of Exponents

Algebraic Expressions and the Order of Operations

Linear Equations and Inequalities

Linear Equations in One Variable

Formulas, Geometry, and Problem Solving

Problem Solving: Integers and Geometry

Problem Solving: Percent, Investment, Motion, and Mixture Problems

Linear and Compound Inequalities

Absolute-Value Equations and Inequalities

Graphs and Functions

Graphs

Introduction to Functions

Using Slopes to Graph Lines

Equations of Lines

Linear Inequalities in Two Variables

Solving Systems of Linear Equations and Inequalities

Systems with Two Variables

Systems with Three Variables

Coin, Distance-Rate-Time, Investment, and Geometry Problems

Matrices

Determinants and Cramer's Rule

Systems of Linear Inequalities

Polynomials

Polynomials: Addition and Subtraction

Multiplication of Polynomials

The Greatest Common Factor and Factoring by Grouping

Factoring Trinomials

Special Factoring

General Methods of Factoring

Solving Equations by Factoring: Applications

Rational Expressions

Rational Expressions

Multiplication and Division of Rational Expressions

Addition and Subtraction of Rational Expressions

Complex Fractions

Division of Polynomials and Synthetic Division

Equations Involving Rational Expressions

Applications: Problem Solving

Variation

Rational Exponents and Radicals

Rational Exponents and Radicals

Simplifying Radicals

Operations with Radicals

Solving Equations Containing Radicals

Complex Numbers

Quadratic Equations and Inequalities

Solving Quadratics by Completing the Square

The Quadratic Formula: Applications

The Discriminant and Its Applications

Solving Equations in Quadratic Form

Nonlinear Inequalities

Quadratic Functions and the Conic Sections

Quadratic Functions and their Graphs

Circles and Ellipses

Hyperbolas and Identification of Conics

Nonlinear Systems of Equations

Nonlinear Systems of Inequalities

Functions -- Inverse, Exponential, and Logarithmic

The Algebra of Functions

Inverse Functions

Exponential Functions

Logarithmic Functions and Their Properties

Common and Natural Logarithms

Exponential and Logarithmic Equations and Applications

Sequences and Series

Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

The Binomial Expansion

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