Introductory Algebra : A Real-World Approach

by Bello, Ignacio

• ISBN13: 9780073309170
• ISBN10: 0073309176
• Edition: 2nd
• Format: Paperback
• Copyright: 2006-07-25
• Publisher: McGraw-Hill Science/Engineering/Math

Summary

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

Factoring

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

Applications

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

Functions

Table of Contents provided by Publisher. All Rights Reserved.