# Introductory Algebra Through Applications

**by**Akst, Geoffrey; Bragg, Sadie

### 9780321746696

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## Summary

## Author Biography

**Geoffrey Akst** and **Sadie Bragg** have worked together for many years as professors of mathematics at Borough of Manhattan Community College/City University of New York. They met as graduate students at Teachers College, Columbia University, where they were both working on degrees in the teaching of college mathematics. The emphasis on applications in their texts reflects a concern they share for helping students understand why the topics to be studied are useful. Dr. Akst for years has begun his classes with the payoff question:¿ Why is this material worth learning? A native New Yorker, he enjoys surfing the Web, listening to good music, and traveling to exciting places. Dr. Bragg, who began her career in math education as a high school geometry teacher, credits her teachers with inspiring her love for mathematics and an appreciation of its utility. A transplanted Virginian, she spends her time with her family and her beautiful grandchildren.

## 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