Cover image for Painless algebra
Painless algebra
Long, Lynette.
Personal Author:
Publication Information:
Hauppauge, N.Y. : Barron's Educational Series, 1998.
Physical Description:
vi, 296 pages : illustrations ; 23 cm
Introduces the language, number systems, integers, and different types of problems of algebra, including variables, quadratic equations, exponents, roots, and radicals.
General Note:
Includes index.
Added Author:
Format :


Call Number
Material Type
Home Location
Orchard Park Library QA152.2 .L66 1998 Adult Non-Fiction Open Shelf

On Order



For students who break out in a cold sweat at the mention of any math subject, Painless Algebra is a way to relax and learn without pain. The author's approach eliminates confusion by taking math details one at a time and transforming algebra into a subject everybody can master--and even enjoy! Painless Algebra is an ideal self-teaching text for middle-school students who need more help than they're getting in the classroom. It also makes fine preparation for those taking SAT, ACT and other tests where questions include math problems. A user-friendly introductory chapter gives meanings in simple English for algebraic terms, instructs on the correct order of operations when solving a problem, and outlines numbers properties and systems. Following chapters cover integers, equations with one variable, inequalities, systems of equations, exponents, roots and radicals, and quadratic equations. Each chapter contains fun-to-solve "brain tickler" problems, with answers.

Table of Contents

Introductionp. v
Chapter 1 A Painless Beginningp. 1
Mathematical Operationsp. 5
Zerop. 16
Order of Operationsp. 19
Properties of Numbersp. 24
Number Systemsp. 28
Chapter 2 The Integersp. 35
What Are the Integers?p. 37
Which Is Greater?p. 42
Adding Integersp. 46
Subtracting Integersp. 50
Multiplying Integersp. 55
Dividing Integersp. 58
What Sign Is the Answer?p. 61
Word Problemsp. 63
Chapter 3 Solving Equations with One Variablep. 69
Defining the Termsp. 71
Solving Equationsp. 73
Solving More Equationsp. 83
Word Problemsp. 90
Chapter 4 Solving Inequalitiesp. 101
Graphing Inequalitiesp. 107
Solving Inequalitiesp. 113
Word Problemsp. 122
Chapter 5 Exponentsp. 131
Multiplying Exponents with Coefficientsp. 138
Adding and Subtracting Exponential Expressionsp. 141
Multiplying Exponential Expressionsp. 144
Dividing Exponential Expressionsp. 147
Raising to a Powerp. 150
Negative Exponentsp. 152
Word Problemsp. 156
Chapter 6 Roots and Radicalsp. 163
Square Rootsp. 165
Cube Roots and Higherp. 169
Negative Radicandsp. 174
Radical Expressionsp. 178
Word Problemsp. 197
Chapter 7 Quadratic Equationsp. 205
Solving Quadratic Equations by Factoringp. 214
The Quadratic Formulap. 236
Word Problemsp. 245
Chapter 8 Solving Systems of Equationsp. 251
Solving Linear Equations by Addition or Subtractionp. 254
Solving Linear Equations by Substitutionp. 267
Solving Linear Equations by Graphingp. 272
Word Problemsp. 286

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