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## Overview

**With Barron’s, learning algebra becomes fun. Painless Algebra defines algebraic terms, shows students how to avoid pitfalls in calculation, presents painless methods for understanding and graphing equations, and makes problem-solving fun.**

Geared toward middle school– and high school–level learners, Painless Algebra takes a lighthearted, humorous approach to learning vocab and is ideal for students who find it confusing, or who just need a little extra help.

Students can test their learning progress with quizzes and “Brain Ticklers”, plus additional games online to challenge students, including Beat the Clock, a line match game, and a word scramble.

The authors' main goal is to clear up confusion and pique interest by emphasizing the intriguing and often exciting ways in which students can put each subject to practical use.

## Product Details

ISBN-13: | 9781438007755 |
---|---|

Publisher: | Barrons Educational Series |

Publication date: | 04/15/2016 |

Series: | Barron's Painless |

Edition description: | Fourth Edition |

Pages: | 368 |

Sales rank: | 246,663 |

Product dimensions: | 6.00(w) x 8.90(h) x 0.90(d) |

Age Range: | 11 - 14 Years |

## About the Author

**About the Author**

**Lynette Long, Ph.D.**is a math education expert. She is a former elementary and middle school principal, high school mathematics teacher, and college professor at Loyola University in Baltimore, American University in Washington, D.C., and the University of Maryland. Long has taught more than twenty different courses in the areas of education and mathematics and has published more than twenty-five books.

**About the Publisher**

In the 1930s, Manuel H. Barron opened a bookstore in Brooklyn, New York.

People from the community asked Mr. Barron about books that might be available to help their children study for the New York State Regents exams. After realizing there wasn't anything available, Mr. Barron created his own study guides.

80 years later, Barron's has helped millions of people prepare for their next step.

## Table of Contents

How to Use This Book vi

Chapter 1 A Painless Beginning 1

Mathematical Operations 3

Zero 11

Order of Operations 13

Properties of Numbers 16

Number Systems 21

Brain Ticklers-The Answers 25

Chapter 2 The Integers 27

What Are the Integers? 27

Which Is Greater? 30

Adding Integers 32

Subtracting Integers 35

Multiplying Integers 38

Dividing Integers 40

Word Problems 43

Brain Ticklers-The Answers 45

Chapter 3 Solving Equations with One Variable 47

Defining the Terms 47

Solving Equations 48

Solving More Equations 53

Word Problems 57

Brain Ticklers-The Answers 60

Chapter 4 Solving Inequalities 65

Graphing Inequalities 67

Solving Inequalities 70

Word Problems 76

Brain Ticklers-The Answers 79

Chapter 5 Graphing Linear Equations and Inequalities 81

Graphing Points 82

Graphing Lines by Plotting Points 84

Graphing Horizontal and Vertical Lines 87

Rate of Change 90

Finding the Equation of a Line 95

Graphing Using Rate of Change-intercept Method 97

Graphing Inequalities 100

Brain Ticklers-The Answers 107

Chapter 6 Solving Systems of Equations and Inequalities 113

Solving Systems of Linear Equations by Addition or Subtraction 114

Solving Systems of Linear Equations by Substitution 124

Solving Systems of Linear Equations by Graphing 127

Solving Systems of Linear Inequalities by Graphing 130

Word Problems 133

Brain Ticklers-The Answers 136

Chapter 7 Exponents 139

Multiplying Exponents with Coefficients 141

Adding and Subtracting Exponential Expressions 144

Multiplying Exponential Expressions 145

Dividing Exponential Expressions 148

Raising to a Power 150

Negative Exponents 151

Word Problems 154

Brain Ticklers-The Answers 156

Chapter 8 Roots and Radicals 159

Square Roots 159

Cube Roots and Higher 162

Negative Radicands 166

Radical Expressions 169

Word Problems 187

Brain Ticklers-The Answers 190

Chapter 9 Quadratic Equations 193

Solving Quadratic Equations by Factoring 197

Solving Quadratic Equations by Completing the Square 213

The Quadratic Formula 218

Solving a System of Linear and Quadratic Equations Algebraically 222

Graphing Quadratic Equations 227

Solving a System of Linear and Quadratic Equations Graphically 234

Word Problems 240

Brain Ticklers-The Answers 243

Chapter 10 Advanced Topics 249

Series and Sequences 249

Pascal's Triangle and Binomial Coefficients 257

Matrices 264

Functions 273

Brain Ticklers-The Answers 282

Index 285