Hutchison's Elementary and Intermediate Algebra

by Baratto, Stefan; Bergman, Barry; Hutchison, Donald

• ISBN13: 9780077350123
• ISBN10: 007735012X
• Edition: 4th
• Format: Hardcover
• Copyright: 2010-01-08
• Publisher: McGraw-Hill Science/Engineering/Math

Summary

Encouraging the learning of mathematics by focusing its coverage on mastering math through practice, this text seeks to provide carefully detailed explanations and accessible pedagogy to introduce beginning and intermediate algebra concepts and put the content in context.

Table of Contents

Prealgebra Review

A Review of Fractions

Real Numbers

Adding and Subtracting Real Numbers

Multiplying and Dividing Real Numbers

Exponents and Order of Operation

From Arithmetic to Algebra

Transition to Algebra

Evaluating Algebraic Expressions

Adding and Subtracting Algebraic Expressions

Sets

Functions and Graphs

Solving Equations by Adding and Subtracting

Solving Equations by Multiplying and Dividing

Combining the Rules to Solve Equations

Literal Equations and Their Applications

Solving Linear Inequalities Using Addition

Solving Linear Inequalities Using Multiplication

Solving Absolute Value Equations (Optional)

Solving Absolute Value Inequalities (Optional)

Graphing Linear Functions

Solutions of Equations in Two Variables

The Cartesian Coordinate System

The Graph of a Linear Equation

The Slope of a Line

Forms of Linear Equations

Graphing Linear Inequalities in Two Variables

Systems of Linear Equations

Positive Integer Exponents

Zero and Negative Exponents and Scientific Notation

Introduction to Polynomials

Addition and Subtraction of Polynomials

Multiplication of Polynomials and Special Products

Division of Polynomials

Exponents and Polynomials

An Introduction to Factoring

Factoring Special Polynomials

* Factoring Trinomials: Trial and Error

Factoring Trinomials: The ac method

Strategies in Factoring

Solving Quadratic Equations by Factoring

Problem Solving with Factoring

A Review of Elementary Algebra

From Arithmetic to Algebra

Equations and Inequalities

Graphs and Linear Equations

Exponents and Polynomials

A Beginning Look at Functions

Factoring Polynomials

Factoring Polynomials

Relations and Functions

Tables and Graphs

Algebra of Functions

Composition of Functions

Substitution and Synthetic Division

Radicals and Exponents

Simplifying Rational Expressions

Multiplication and Division of Rational Expressions

Addition and Subtraction of Rational Expressions

Complex Fractions

Solving Rational Expressions

Solving Rational Inequalities

Quadratic Functions

Solving Systems of Linear Equations by Graphing

Systems of Equations in Two Variables with Applications

Systems of Linear Equations in Three Variables

Systems of Linear Inequalities in Two Variables

Matrices (Optional)

Rational Expressions

Solving Equations in One Variable Graphically

Solving Linear Inequalities in One Variable Graphically

Solving Absolute Value Equations Graphically

Solving Absolute Value Inequalities Graphically

Exponential and Logarithmic Functions

Roots and Radicals

Simplifying Radical Expressions

Operations on Radical Expressions

Solving Radical Equations

Rational Exponents

Complex Numbers

Quadratic Functions

Solving Quadratic Equations by Completing the Square

The Quadratic Formula

An Introduction to the Parabola

Solving Quadratic Inequalities

Conic Sections

Conic Sections and the Circle

Ellipses

Hyperbolas

Exponential and Logarithmic Functions

Inverse Relations and Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Logarithmic and Exponential Equations

Determinants and Cramer's Rule

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