Elementary Algebra

by Bracken, Laura; Miller, Ed

• ISBN13: 9781111574093
• ISBN10: 111157409X
• Edition: 1st
• Format: Paperback
• Copyright: 2011-02-11
• Publisher: Brooks Cole

Summary

Elementary Algebra offers a practical approach to the study of beginning algebra concepts, consistent with the needs of today's student. The author puts special emphasis on the worked examples in each section, treating them as the primary means of instruction, since students rely so heavily on examples to complete assignments. The applications are also uniquely designed so that students have an experience that is more true to life--students must read information as it appears in a "live" media source and extract only the relevant information needed to solve a stated problem. The unique pedagogy in the text focuses on promoting better study habits and critical thinking skills along with orienting students to think and reason mathematically. Through Elementary Algebra, students will not only be better prepared for future math courses, they will be better prepared to solve problems and answer questions they encounter in their own lives.

Table of Contents

The Real Numbers

The Real Numbers

Variables and Algebraic Expressions

Problem Solving

Integers, Rational Numbers, and Percent

Units of Measurement and Formulas

Irrational Numbers and Roots

Summary and Review

Test

Solving Equations and Inequalities

The Properties of Equality

More Equations in One Variable

Variables on Both Sides

Solving an Equation for a Variable

Inequalities in One Variable

Summary and Review

Test

Linear Equations and Inequalities in two Variables

Linear Equations in Two Variables

Slope

Slope-Intercept Form

Writing the Equation of a Line

Relations and Functions

Linear Inequalities in Two Variables

Summary and Review

Test

Cumulative Review Chapters 1-3

Systems of Equations and Inequalities

Systems of Linear Equations

The Substitution Method

The Elimination Method

Applications

Systems of Linear Inequalities

Summary and Review

Test

Exponents and Polynomials

Exponential Expressions and the Exponent Rules

Scientific Notation

Introduction to Polynomials

Multiplication of Polynomials

Division of Polynomials

Summary and Review

Test

Factoring Polynomials

Introduction to Factoring

Factoring Trinomials

Patterns

Factoring Completely

The Zero Product Property

Summary and Review

Test

Cumulative Review Chapters 4-6

Rational Expressions and Equations

Simplifying Rational Expressions

Multiplication and Division of Rational Expressions

Combining Rational Expressions with the Same Denominator

Combining Rational Expressions with Different Denominators

Complex Rational Expressions

Rational Equations and Proportions

Variation

Summary and Review

Test

Radical Expressions and Equations

Radical Expressions

Adding and Subtracting Radicals

Multiplying and Dividing Radicals

Rational Exponents

Radical Equations

Higher Index Radicals and Imaginary Numbers

Summary and Review

Test

Quadratic Equations

Quadratic Equations in One Variable

Completing the Square

The Quadratic Formula

Quadratic Equations with Non-Real Solutions

Quadratic Equations in Two Variables

Summary and Review

Test

Cumulative Review Chapters 7-9

Appendix

Whole Numbers and the Order of Operations

Fractions

Signed Numbers

Graphing Ordered Pairs

Reasonability and Problem Solving

Deriving the Quadratic Formula

Table of Contents provided by Publisher. All Rights Reserved.