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Overview
The essential help you need when your textbook just isn't making the grade!
Homework Helpers: Algebra is the latest book in the popular series designed to help you master the material and tackle the tests. It covers all of the topics in a typical Algebra I class, including:
- Solving linear equalities and inequalities
- Solving systems of linear equations
- Factoring polynomials
- Graphing functions
- Working with rational functions
- Solving quadratic equations
- Understanding word problems
Each subject is explained in everyday language before numerous examples are worked. Practice problems are included throughout the book and are solved clearly and systematically. Problem-solving skills and good habits, such as checking your answers after every problem, are emphasized.
Particular attention is placed on topics that students traditionally struggle with the most. The final chapter covers word problems in detail and teaches you several problem-solving strategies.
Homework Helpers: Algebra will help build a solid mathematical foundation and enable students to gain the confidence they need to study Algebra II. This book also contains a summary of important formulas for easy reference.
Whether used as a stand-alone text or to supplement a poorly written or badly organized "official" one, each volume in the Homework Helpers series is just what students need to boost their confidence…and their grades.
Denise Szecsei earned Bachelor of Science degrees in Physics, Chemistry and Mathematics from the University of Redlands. She served four years as a technical instructor in the U.S. Navy before she received her Doctorate in Mathematics from the Florida State University. She has been teaching since 1985 and is currently teaching mathematics at Stetson University.
Product Details
| ISBN-13: | 9781601638540 |
|---|---|
| Publisher: | Career Press, Incorporated |
| Publication date: | 05/06/2009 |
| Series: | Homework Helpers |
| Sold by: | Barnes & Noble |
| Format: | eBook |
| File size: | 4 MB |
About the Author
Denise Szecsei earned BS degrees in Physics, Chemistry and Mathematics from the University of Redlands. She served four years as a technical instructor in the U.S. Navy before she went on to receive her doctorate degree in Mathematics from the Florida State University. She has been teaching since 1985 and is currently teaching Mathematics at Stetson University. She is the author of Homework Helpers: Basic Math and Pre-Algebra, Calculus, and Trigonometry.
Table of Contents
Preface 11
Capter 1 Numbers 13
Lesson 1-1 Types of Numbers 14
Lesson 1-2 Operations and Symbols 19
Lesson 1-3 Properties of Real Numbers 20
Lesson 1-4 Properties of Zero and One 23
Lesson 1-5 Absolute Value 26
Lesson 1-6 Manipulating Rational Numbers 27
Lesson 1-7 The Order of Operations 34
Lesson 1-8 The Distributive Property 35
Lesson 1-9 Evaluating Expressions 37
Chapter 2 Exponents 41
Lesson 2-1 Positive Integer Powers 41
Lesson 2-2 Rules for Exponents 45
Lesson 2-3 Negative Integer Powers 49
Lesson 2-4 Zero as an Exponent 51
Lesson 2-5 Powers of Quotients and Products 52
Lesson 2-6 Scientific Notation 54
Chapter 3 Equations and Equality 59
Lesson 3-1 Equations 59
Lesson 3-2 Equality 60
Lesson 3-3 Algebraic Properties of Equality 62
Lesson 3-4 Solving Linear Equations in One Step 63
Lesson 3-5 Solving Linear Equations Using Several Steps 68
Lesson 3-6 Equations Involving Absolute Value 74
Chapter 4 Inequalities and Graphs 81
Lesson 4-1 Properties of Inequalities 83
Lesson 4-2 Solving Inequalities in One Step 84
Lesson 4-3 Solving Inequalities Using Several Steps 88
Lesson 4-4 Graphing Inequalities Using the Number Line 90
Lesson 4-5 Graphing Compound Inequalities 95
Lesson 4-6 Inequalities and Absolute Value 97
Chapter 5 Relations, Functions, and Graphs 105
Lesson 5-1 Relations 105
Lesson 5-2 Functions 107
Lesson 5-3 Formulas 108
Lesson 5-4 Tables 109
Lesson 5-5 The Cartesian Coordinate System 110
Lesson 5-6 Graphs of Functions and Relations 114
Chapter 6 Linear Equations 121
Lesson 6-1 Linear Functions and Calculating Slopes 121
Lesson 6-2 Intercepts 127
Lesson 6-3 Point-Slope Form 129
Lesson 6-4 Slope-Intercept Form 130
Lesson 6-5 Standard Form 132
Lesson 6-6 Horizontal and Vertical Lines 135
Lesson 6-7 Graphing Linear Equations 138
Chapter 7 Systems of Linear Equations 147
Lesson 7-1 The Graphical Method 148
Lesson 7-2 The Substitution/Elimination Method 150
Lesson 7-3 The Addition/Subtraction Method 153
Chapter 8 Monomials and Polynomials 161
Lesson 8-1 Terminology 161
Lesson 8-2 Adding and Subtracting Monomials 163
Lesson 8-3 Multiplying and Dividing Monomials 164
Lesson 8-4 Monomials as the Base of an Exponential Expression 167
Lesson 8-5 Adding and Subtracting Polynomials 168
Lesson 8-6 Multiplying Polynomials 170
Lesson 8-7 Special Products 173
Lesson 8-8 Dividing Polynomials by Monomials 176
Lesson 8-9 Factoring Techniques 177
Lesson 8-10 Solving Factored Equations 180
Chapter 9 Quadratic Equations 185
Lesson 9-1 Square Roots 185
Lesson 9-2 The Difference Between Two Squares 188
Lesson 9-3 Factoring Quadratic Expressions of the Form X2 + bx + c 193
Lesson 9-4 Factoring Quadratic Expressions in General 197
Lesson 9-5 Solving Quadratic Equations by Factoring 200
Lesson 9-6 Solving Quadratic Equations by Completing the Square 202
Lesson 9-7 Solving Quadratic Equations Using the Quadratic Formula 206
Chapter 10 Rational Expressions 213
Lesson 10-1 Simplifying Rational Expressions 213
Lesson 10-2 Multiplying Rational Expressions 216
Lesson 10-3 Dividing Rational Expressions 217
Lesson 10-4 Adding and Subtracting Rational Expressions 219
Chapter 11 Applications 225
Lesson 11-1 How to Approach Word Problems 225
Lesson 11-2 Rates and Percentages 227
Lesson 11-3 Finding Integers 229
Lesson 11-4 Rate, Time, and Distance Problems 232
Lesson 11-5 Money Problems 234
Lesson 11-6 Mixture Problems 236
Final Exam 241
Index 251
About the Author 255