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The grade-saving Algebra I companion, with hundreds of additional practice problems online Algebra I Workbook For Dummies is your solution to the Algebra brain-block. With hundreds of practice and example problems mapped to the typical high school Algebra class, you'll crack the code in no time! Each problem includes a full explanation so you can see where you went wrong or right every step of the way. From fractions to FOIL and everything in between, this guide will help you grasp the fundamental concepts you'll use in every other math class you'll ever take. This new third edition includes access to an online test bank, where you'll find bonus chapter quizzes to help you test your understanding and pinpoint areas in need of review. Whether you're preparing for an exam or seeking a start-to-finish study aid, this workbook is your ticket to acing algebra. * Master basic operations and properties to solve any problem * Simplify expressions with confidence * Conquer factoring and wrestle equations into submission * Reinforce learning with online chapter quizzes Algebra I is a fundamentally important class.
What you learn here will follow you throughout Algebra II, Trigonometry, Calculus, and beyond, including Chemistry, Physics, Biology, and more. Practice really does make perfect and this guide provides plenty of it. Study, practice, and score high!

Algebra I Workbook For Dummies with Online Practice 3e

Introduction 1





About This Book 1





Foolish Assumptions 2





Icons Used in This Book 3





Beyond the Book 3





Where to Go from Here 4





Part 1: Getting Down to the Nitty-Gritty on Basic Operations 5





Chapter 1: Deciphering Signs in Numbers 7





Assigning Numbers Their Place 7





Reading and Writing Absolute Value 9





Adding Signed Numbers 10





Making a Difference with Signed Numbers 11





Multiplying Signed Numbers 12





Dividing Signed Numbers 14





Answers to Problems on Signed Numbers 15





Chapter 2: Incorporating Algebraic Properties 17





Getting a Grip on Grouping Symbols 17





Distributing the Wealth 19





Making Associations Work 20





Computing by Commuting 21





Answers to Problems on Algebraic Properties 23





Chapter 3: Making Fractions and Decimals Behave 25





Converting Improper and Mixed Fractions 25





Finding Fraction Equivalences 27





Making Proportional Statements 28





Finding Common Denominators 30





Adding and Subtracting Fractions 31





Multiplying and Dividing Fractions 32





Simplifying Complex Fractions 35





Changing Fractions to Decimals and Vice Versa 36





Performing Operations with Decimals 38





Answers to Problems on Fractions 39





Chapter 4: Exploring Exponents 45





Multiplying and Dividing Exponentials 45





Raising Powers to Powers 47





Using Negative Exponents 49





Writing Numbers with Scientific Notation 50





Answers to Problems on Discovering Exponents 52





Chapter 5: Taming Rampaging Radicals 55





Simplifying Radical Expressions 55





Rationalizing Fractions 57





Arranging Radicals as Exponential Terms 58





Using Fractional Exponents 60





Simplifying Expressions with Exponents 61





Estimating Answers 63





Answers to Problems on Radicals 64





Chapter 6: Simplifying Algebraic Expressions 67





Adding and Subtracting Like Terms 68





Multiplying and Dividing Algebraically 69





Incorporating Order of Operations 70





Evaluating Expressions 71





Answers to Problems on Algebraic Expressions 74





Part 2: Changing the Format of Expressions 77





Chapter 7: Specializing in Multiplication Matters 79





Distributing One Factor over Many 79





Curses, FOILed again - or not 80 Squaring binomials 82





Multiplying the sum and difference of the same two terms 83





Cubing binomials 84





Creating the Sum and Difference of Cubes 85





Raising binomials to higher powers 86





Answers to Problems on Multiplying Expressions 88





Chapter 8: Dividing the Long Way to Simplify Algebraic Expressions 91





Dividing by a Monomial 91





Dividing by a Binomial 93





Dividing by Polynomials with More Terms 96





Simplifying Division Synthetically 97





Answers to Problems on Division 99





Chapter 9: Figuring on Factoring 103





Pouring Over Prime Factorizations 103





Factoring Out the Greatest Common Factor 105





Reducing Algebraic Fractions 106





Answers to Problems on Factoring Expressions 108





Chapter 10: Taking the Bite Out of Binomial Factoring 111





Factoring the Difference of Squares 112





Factoring Differences and Sums of Cubes 113





Making Factoring a Multiple Mission 114





Answers to Problems on Factoring 115





Chapter 11: Factoring Trinomials and Special Polynomials 117





Focusing First on the Greatest Common Factor (GCF) 118





"Un"wrapping the FOIL 119





Factoring Quadratic-Like Trinomials 121





Factoring Trinomials Using More than One Method 122





Factoring by Grouping 124





Putting All the Factoring Together 126





Answers to Problems on Factoring Trinomials and Other Expressions 128





Part 3: Seek and Ye Shall Find . . . Solutions 131





Chapter 12: Lining Up Linear Equations 133





Using the Addition/Subtraction Property 133





Using the Multiplication/Division Property 135





Putting Several Operations Together 136





Solving Linear Equations with Grouping Symbols 138





Working It Out with Fractions 140





Solving Proportions 142





Answers to Problems on Solving Linear Equations 144





Chapter 13: Muscling Up to Quadratic Equations 151





Using the Square Root Rule 152





Solving by Factoring 153





Using the Quadratic Formula 155





Completing the Square 158





Dealing with Impossible Answers 159





Answers to Problems on Solving Quadratic Equations 161





Chapter 14: Yielding to Higher Powers 167





Determining How Many Possible Roots 168





Applying the Rational Root Theorem 169





Using the Factor/Root Theorem 170





Solving by Factoring 172





Solving Powers That Are Quadratic-Like 174





Answers to Problems on Solving Higher Power Equations 176





Chapter 15: Reeling in Radical and Absolute Value Equations 179





Squaring Both Sides to Solve Radical Equations 180





Doubling the Fun with Radical Equations 182





Solving Absolute Value Equations 183





Answers to Problems on Radical and Absolute Value Equations 185





Chapter 16: Getting Even with Inequalities 189





Using the Rules to Work on Inequality Statements 190





Rewriting Inequalities by Using Interval Notation 191





Solving Linear Inequalities 192





Solving Quadratic Inequalities 193





Dealing with Polynomial and Rational Inequalities 195





Solving Absolute Value Inequalities 196





Solving Complex Inequalities 198





Answers to Problems on Working with Inequalities 199





Part 4: Solving Story Problems and Sketching Graphs 203





Chapter 17: Facing Up to Formulas 205





Working with Formulas 206





Deciphering Perimeter, Area, and Volume 207





Using perimeter formulas to get around 207





Squaring off with area formulas 209





Working with volume formulas 211





Getting Interested in Using Percent 213





Answers to Problems on Using Formulas 215





Chapter 18: Making Formulas Work in Basic Story Problems 219





Applying the Pythagorean Theorem 220





Using Geometry to Solve Story Problems 221





Putting Distance, Rate, and Time in a Formula 224





Examining the distance-rate-time formula 224





Going the distance with story problems 226





Answers to Making Formulas Work in Basic Story Problems 228





Chapter 19: Relating Values in Story Problems 233





Tackling Age Problems 234





Tackling Consecutive Integer Problems 235





Working Together on Work Problems 238





Answers to Relating Values in Story Problems 240





Chapter 20: Measuring Up with Quality and Quantity Story Problems 243





Achieving the Right Blend with Mixtures Problems 244





Concocting the Correct Solution One Hundred Percent of the Time 246





Dealing with Money Problems 248





Answers to Problems on Measuring Up with Quality and Quantity 250





Chapter 21: Getting a Handle on Graphing 255





Thickening the Plot with Points 255





Sectioning Off by Quadrants 257





Using Points to Lay Out Lines 258





Graphing Lines with Intercepts 260





Computing Slopes of Lines 261





Graphing with the Slope-Intercept Form 263





Changing to the Slope-Intercept Form 265





Writing Equations of Lines 266





Picking on Parallel and Perpendicular Lines 267





Finding Distances between Points 268





Finding the Intersections of Lines 269





Graphing Parabolas and Circles 270





Graphing with Transformations 272





Answers to Problems on Graphing 275





Part 5: The Part of Tens 283





Chapter 22: Ten Common Errors That Get Noticed 285





Squaring a Negative or Negative of a Square 285





Squaring a Binomial 286





Operating on Radicals 286





Distributing a Negative Throughout 287





Fracturing Fractions 287





Raising a Power to a Power 288





Making Negative Exponents Flip 288





Making Sense of Reversing the Sense 288





Using the Slope Formula Correctly 289





Writing Several Fractions as One 289





Chapter 23: Ten Quick Tips to Make Algebra a Breeze 291





Flipping Proportions 291





Multiplying Through to Get Rid of Fractions 292





Zeroing In on Fractions 292





Finding a Common Denominator 292





Dividing by 3 or 9 293





Dividing by 2, 4, or 8 293





Commuting Back and Forth 293





Factoring Quadratics 294





Making Radicals Less Rad, Baby 294





Applying Acronyms 294





Index 295