# Practical Algebra

## A Self-Teaching Guide

Wiley Self-Teaching Guides

3. Auflage April 2022

512 Seiten, Softcover*Wiley & Sons Ltd*

**978-1-119-71540-5**

The most practical, complete, and accessible guide for understanding algebra

If you want to make sense of algebra, check out Practical Algebra: A Self-Teaching Guide. Written by two experienced classroom teachers, this Third Edition is completely revised to align with the Common Core Algebra I math standards used in many states. You'll get an overview of solving linear and quadratic equations, using ratios and proportions, decoding word problems, graphing and interpreting functions, modeling the real world with statistics, and other concepts found in today's algebra courses. This book also contains a brief review of pre-algebra topics, including arithmetic and fractions. It has concrete strategies that help diverse students to succeed, such as:

* over 500 images and tables that illustrate important concepts

* over 200 model examples with complete solutions

* almost 1,500 exercises with answers so you can monitor your progress

Practical Algebra emphasizes making connections to what you already know and what you'll learn in the future. You'll learn to see algebra as a logical and consistent system of ideas and see how it connects to other mathematical topics. This book makes math more accessible by treating it as a language. It has tips for pronouncing and using mathematical notation, a glossary of commonly used terms in algebra, and a glossary of symbols. Along the way, you'll discover how different cultures around the world over thousands of years developed many of the mathematical ideas we use today. Since students nowadays can use a variety of tools to handle complex modeling tasks, this book contains technology tips that apply no matter what device you're using. It also describes strategies for avoiding common mistakes that students make.

By working through Practical Algebra, you'll learn straightforward techniques for solving problems, and understand why these techniques work so you'll retain what you've learned. You (or your students) will come away with better scores on algebra tests and a greater confidence in your ability to do math.

Introduction vii

1 Basic Concepts 1

2 Fractions 21

3 Linear Equations 37

4 Ratios and Proportions 79

5 Linear Inequalities 111

6 Functions and Graphs with Two Variables 141

7 Linear Functions and their Graphs 173

8 Operations with Polynomials 233

9 Quadratic Functions 255

10 Exponential Functions 335

11 Sequences 353

12 Summary of Functions 373

13 Statistics 419

Formulas 477

Glossary of Mathematical Symbols 479

Glossary of Mathematical Terms 483

About the Authors 489

Index 491

Larisa BUKALOV has been teaching math in New York City public high schools since 1998. She has received numerous awards in mathematics education, including the Math for America Master Teacher Fellowship. In addition to being the co-author of The Math Teacher's Toolbox, she also teaches courses in mathematics literacy methods at Touro University.

Steve SLAVIN has a PhD in economics from New York University, and taught economics for thirty-one years at New York Institute of Technology, Brooklyn College, and New Jersey's Union County College of Mathematics.