Introductory Algebra, Updated Media Edition (with CD-ROM and MathNOW™, Enhanced iLrn™ Math Tutorial, Student Resoure Center Printed Access Card)

by Tussy, Alan S.; Gustafson, R. David

• ISBN13: 9780495188919
• ISBN10: 0495188913
• Edition: 3rd
• Format: Paperback
• Copyright: 2006-01-20
• Publisher: Brooks Cole

Summary

The fundamental goal in Tussy and Gustafson's INTRODUCTORY ALGEBRA, Third Edition is to teach students to read, write, and think about mathematics through building a conceptual foundation in the language of mathematics. The book blends instructional approaches that include vocabulary, practice, and well-defined pedagogy, along with an emphasis on reasoning, modeling, communication, and technology skills to develop students' fluency in the "language of algebra". Tussy and Gustafson understand the challenges of teaching developmental students and this book reflects a holistic approach to teaching mathematics that includes developing study skills, problem solving and critical thinking alongside mathematical concepts. New features in this edition include a pretest for students to gauge their understanding of prerequisite concepts, problems that make correlations between student life and the mathematical concepts and study skills information designed to give students the best chance to succeed in the course. Additionally, the texts widely acclaimed Study Sets at the end of every section are tailored to improve students' ability to read, write and communicate mathematical ideas.

Table of Contents

An Introduction to Algebra

Describing Numerical Relationships

Fractions and Decimals

The Real Numbers

Adding and Subtracting Real Numbers

Multiplying and Dividing Real Numbers

Exponents and Order of Operations

Algebraic Expressions

Key Concept: Variables

Equations, Inequalities, and Problem Solving

Solving Equations

Problem Solving

Simplifying Algebraic Expressions

Simplifying Algebraic Expressions

More About Solving Equations

Formulas

More Problem Solving

Inequalities

Key Concept: Simplify and Solve

Graphs, Linear Equations, and Functions

Graphing Using the Rectangular Coordinate System

Equations Containing Two Variables

Graphing Linear Equations

Rate of Change and the Slope of a Line

Describing Linear Relationships

Writing Linear Equations

Functions

Key Concept: Describing Linear Relationships

Exponents and Polynomials

Natural-Number Exponents

Zero and Negative Integer Exponents

Scientific Notation

Polynomials

Adding and Subtracting Polynomials

Multiplying Polynomials

Dividing Polynomials by Monomials

Dividing Polynomials by Polynomials

Key Concept: Polynomials

Factoring and Quadratic Equations

Factoring Out the Greatest Common Factor and Factoring by Grouping

Factoring Trinomials of the Form x2 + bx + c

Factoring Trinomials of the Form ax2 + bx + c

Special Factorizations and a Factoring Strategy

Quadratic Equations

Key Concept: Factoring

Rational Expressions and Equations

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions

Complex Fractions

Rational Equations and Problem Solving

Proportions and Similar Triangles

Variation

Key Concept: Expressions and Equations

Solving Systems of Equations And Inequalities

Solving Systems of Equations by Graphing

Solving Systems of Equations by Substitution

Solving Systems by Addition

Applications of Systems of Equations

Graphing Linear Inequalities

Solving Systems of Linear Equations

Key Concept: Systems of Equations and Inequalities

Roots and Radicals

Square Roots

Higher Order Roots and Radicands That Contain Variables

Simplifying Radical Expressions

Adding and Subtracting Radical Expressions

Multiplying and Dividing Radical Expressions

Solving Radical Equations: The Distance Formula

Rational Exponents

Key Concept: Inverse Operations

Quadratic Equations

Completing the Square

The Quadratic Formula

Graphing Quadratic Functions

Key Concept: Quadratic Equations

Statistics

Roots and Powers

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