# Introductory Algebra Through Applications, 3rd Edition

Published by Pearson

Published Date: Dec 27, 2011

## Description

The Akst/Bragg series’ success is built around clear and concise writing, a side-by-side “teach by example” approach, and integrated applications throughout that help students achieve a conceptual understanding. The user-friendly design offers a distinctive side-by-side format that pairs examples and their solutions with corresponding practice exercises. Students understand from the very beginning that doing math is an essential part of learning it. Motivational, real-world applications demonstrate how integral mathematical understanding is to a variety of disciplines, careers, and everyday situations.

## Table of Contents

R. Prealgebra Review

R.1 Exponents and Order of Operations

R.2 Factors, Primes, and Least Common Multiples

R.3 Fractions

R.4 Decimals

R.5 Percent Conversions

Exercises

Posttest

1. Introduction to Real Numbers and Algebraic Expressions

1.1 Real Numbers

1.2 Addition of Real Numbers

1.3 Subtraction of Real Numbers

1.4 Multiplication of Real Numbers

1.5 Division of Real Numbers

1.6 Algebraic Expressions, Translations, and Exponents

1.7 Evaluating Algebraic Expressions and Formulas

1.8 Simplifying Algebraic Expressions

Key Concepts and Skills

Review Exercises

Posttest

2. Solving Linear Equations and Inequalities

2.1 Solving Linear Equations: The Addition Property

2.2 Solving Linear Equations: The Multiplication Property

2.3 Solving Linear Equations by Combining Properties

2.4 Solving Literal Equations and Formulas

2.5 Solving Equations Involving Percent

2.6 Solving Inequalities

Key Concepts and Skills

Review Exercises

Posttest

Cumulative Review Exercises

3. Graphing Linear Equations and Inequalities

3.1 Introduction to Graphing

3.2 Slope

3.3 Linear Equations and Their Graphs

3.4 More on Linear Equations and Their Graphs

3.5 Linear Inequalities and Their Graphs

Key Concepts and Skills

Review Exercises

Posttest

Cumulative Review Exercises

4. Solving Systems of Linear Equations

4.1 Introduction to Systems of Linear Equations: Solving by Graphing

4.2 Solving Systems of Linear Equations by Substitution

4.3 Solving Systems of Linear Equations by Elimination

Key Concepts and Skills

Review Exercises

Posttest

Cumulative Review Exercises

5. Exponents and Polynomials

5.1 Laws of Exponents

5.2 More Laws of Exponents and Scientific Notation

5.3 Basic Concepts of Polynomials

5.4 Addition and Subtraction of Polynomials

5.5 Multiplication of Polynomials

5.6 Special Products

5.7 Division of Polynomials

Key Concepts and Skills

Review Exercises

Posttest

Cumulative Review Exercises

6. Factoring Polynomials

6.1 Common Factoring and Factoring by Grouping

6.2 Factoring Trinomials Whose Leading Coefficient Is 1

6.3 Factoring Trinomials Whose Leading Coefficient Is Not 1

6.4 Factoring Perfect Square Trinomials and the Difference of Squares

6.5 Solving Quadratic Equations by Factoring

Key Concepts and Skills

Review Exercises

Posttest

Cumulative Review Exercises

7. Rational Expressions and Equations

7.1 Rational Expressions

7.2 Multiplication and Division of Rational Expressions

7.3 Addition and Subtraction of Rational Expressions

7.4 Complex Rational Expressions

7.5 Solving Rational Equations

7.6 Ratio and Proportion

Key Concepts and Skills

Review Exercises

Posttest

Cumulative Review Exercises

8. Radical Expressions and Equations

8.1 Introduction to Radical Expressions

8.2 Addition and Subtraction of Radical Expressions

8.3 Multiplication and Division of Radical Expressions

8.4 Solving Radical Equations

Key Concepts and Skills

Review Exercises

Posttest

Cumulative Review Exercises

9. Quadratic Equations

9.1 Solving Quadratic Equations by Using the Square Root Property

9.2 Solving Quadratic Equations by Completing the Square

9.3 Solving Quadratic Equations by Using the Quadratic Formula

9.4 Graphing Quadratic Equations in Two Variables

Key Concepts and Skills

Review Exercises

Posttest

Cumulative Review Exercises

Answers

Glossary

Index

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Geoffrey Akst, Sadie Bragg

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