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Full Description
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.
Contents
Acknowledgments vi
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
