Algebra I Workbook For Dummies

 
 
Standards Information Network (Verlag)
  • 3. Auflage
  • |
  • erschienen am 17. März 2017
  • |
  • 312 Seiten
 
E-Book | PDF mit Adobe-DRM | Systemvoraussetzungen
978-1-119-34898-6 (ISBN)
 
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!
3. Auflage
  • Englisch
  • Somerset
  • |
  • USA
John Wiley & Sons Inc
  • Für Beruf und Forschung
  • Überarbeitete Ausgabe
  • 9,58 MB
978-1-119-34898-6 (9781119348986)
weitere Ausgaben werden ermittelt
Mary Jane Sterling taught algebra, business calculus, geometry, and finite math-ematics at Bradley University in Peoria, Illinois, for more than 30 years. She is the author of Algebra I For Dummies and Algebra II For Dummies.
1 - Title Page [Seite 3]
2 - Copyright Page [Seite 4]
3 - Table of Contents [Seite 7]
4 - Introduction [Seite 13]
4.1 - About This Book [Seite 13]
4.2 - Foolish Assumptions [Seite 14]
4.3 - Icons Used in This Book [Seite 15]
4.4 - Beyond the Book [Seite 15]
4.5 - Where to Go from Here [Seite 16]
5 - Part 1 Getting Down to the Nitty-Gritty on Basic Operations [Seite 17]
5.1 - Chapter 1 Deciphering Signs in Numbers [Seite 19]
5.1.1 - Assigning Numbers Their Place [Seite 19]
5.1.2 - Reading and Writing Absolute Value [Seite 21]
5.1.3 - Adding Signed Numbers [Seite 22]
5.1.4 - Making a Difference with Signed Numbers [Seite 23]
5.1.5 - Multiplying Signed Numbers [Seite 24]
5.1.6 - Dividing Signed Numbers [Seite 26]
5.1.7 - Answers to Problems on Signed Numbers [Seite 27]
5.2 - Chapter 2 Incorporating Algebraic Properties [Seite 29]
5.2.1 - Getting a Grip on Grouping Symbols [Seite 29]
5.2.2 - Distributing the Wealth [Seite 31]
5.2.3 - Making Associations Work [Seite 32]
5.2.4 - Computing by Commuting [Seite 33]
5.2.5 - Answers to Problems on Algebraic Properties [Seite 35]
5.3 - Chapter 3 Making Fractions and Decimals Behave [Seite 37]
5.3.1 - Converting Improper and Mixed Fractions [Seite 37]
5.3.2 - Finding Fraction Equivalences [Seite 39]
5.3.3 - Making Proportional Statements [Seite 40]
5.3.4 - Finding Common Denominators [Seite 42]
5.3.5 - Adding and Subtracting Fractions [Seite 43]
5.3.6 - Multiplying and Dividing Fractions [Seite 44]
5.3.7 - Simplifying Complex Fractions [Seite 47]
5.3.8 - Changing Fractions to Decimals and Vice Versa [Seite 48]
5.3.9 - Performing Operations with Decimals [Seite 50]
5.3.10 - Answers to Problems on Fractions [Seite 51]
5.4 - Chapter 4 Exploring Exponents [Seite 57]
5.4.1 - Multiplying and Dividing Exponentials [Seite 57]
5.4.2 - Raising Powers to Powers [Seite 59]
5.4.3 - Using Negative Exponents [Seite 61]
5.4.4 - Writing Numbers with Scientific Notation [Seite 62]
5.4.5 - Answers to Problems on Discovering Exponents [Seite 64]
5.5 - Chapter 5 Taming Rampaging Radicals [Seite 67]
5.5.1 - Simplifying Radical Expressions [Seite 67]
5.5.2 - Rationalizing Fractions [Seite 69]
5.5.3 - Arranging Radicals as Exponential Terms [Seite 70]
5.5.4 - Using Fractional Exponents [Seite 72]
5.5.5 - Simplifying Expressions with Exponents [Seite 73]
5.5.6 - Estimating Answers [Seite 75]
5.5.7 - Answers to Problems on Radicals [Seite 76]
5.6 - Chapter 6 Simplifying Algebraic Expressions [Seite 79]
5.6.1 - Adding and Subtracting Like Terms [Seite 80]
5.6.2 - Multiplying and Dividing Algebraically [Seite 81]
5.6.3 - Incorporating Order of Operations [Seite 82]
5.6.4 - Evaluating Expressions [Seite 83]
5.6.5 - Answers to Problems on Algebraic Expressions [Seite 86]
6 - Part 2 Changing the Format of Expressions [Seite 89]
6.1 - Chapter 7 Specializing in Multiplication Matters [Seite 91]
6.1.1 - Distributing One Factor over Many [Seite 91]
6.1.1.1 - Curses, FOILed again - or not [Seite 92]
6.1.1.2 - Squaring binomials [Seite 94]
6.1.1.3 - Multiplying the sum and difference of the same two terms [Seite 95]
6.1.1.4 - Cubing binomials [Seite 96]
6.1.2 - Creating the Sum and Difference of Cubes [Seite 97]
6.1.2.1 - Raising binomials to higher powers [Seite 98]
6.1.3 - Answers to Problems on Multiplying Expressions [Seite 100]
6.2 - Chapter 8 Dividing the Long Way to Simplify Algebraic Expressions [Seite 103]
6.2.1 - Dividing by a Monomial [Seite 103]
6.2.2 - Dividing by a Binomial [Seite 105]
6.2.3 - Dividing by Polynomials with More Terms [Seite 108]
6.2.4 - Simplifying Division Synthetically [Seite 109]
6.2.5 - Answers to Problems on Division [Seite 111]
6.3 - Chapter 9 Figuring on Factoring [Seite 115]
6.3.1 - Pouring Over Prime Factorizations [Seite 115]
6.3.2 - Factoring Out the Greatest Common Factor [Seite 117]
6.3.3 - Reducing Algebraic Fractions [Seite 118]
6.3.4 - Answers to Problems on Factoring Expressions [Seite 120]
6.4 - Chapter 10 Taking the Bite Out of Binomial Factoring [Seite 123]
6.4.1 - Factoring the Difference of Squares [Seite 124]
6.4.2 - Factoring Differences and Sums of Cubes [Seite 125]
6.4.3 - Making Factoring a Multiple Mission [Seite 126]
6.4.4 - Answers to Problems on Factoring [Seite 127]
6.5 - Chapter 11 Factoring Trinomials and Special Polynomials [Seite 129]
6.5.1 - Focusing First on the Greatest Common Factor (GCF) [Seite 130]
6.5.2 - "Un"wrapping the FOIL [Seite 131]
6.5.3 - Factoring Quadratic-Like Trinomials [Seite 133]
6.5.4 - Factoring Trinomials Using More than One Method [Seite 134]
6.5.5 - Factoring by Grouping [Seite 136]
6.5.6 - Putting All the Factoring Together [Seite 138]
6.5.7 - Answers to Problems on Factoring Trinomials and Other Expressions [Seite 140]
7 - Part 3 Seek and Ye Shall Find . . . Solutions [Seite 143]
7.1 - Chapter 12 Lining Up Linear Equations [Seite 145]
7.1.1 - Using the Addition/Subtraction Property [Seite 145]
7.1.2 - Using the Multiplication/Division Property [Seite 147]
7.1.3 - Putting Several Operations Together [Seite 148]
7.1.4 - Solving Linear Equations with Grouping Symbols [Seite 150]
7.1.5 - Working It Out with Fractions [Seite 152]
7.1.6 - Solving Proportions [Seite 154]
7.1.7 - Answers to Problems on Solving Linear Equations [Seite 156]
7.2 - Chapter 13 Muscling Up to Quadratic Equations [Seite 163]
7.2.1 - Using the Square Root Rule [Seite 164]
7.2.2 - Solving by Factoring [Seite 165]
7.2.3 - Using the Quadratic Formula [Seite 167]
7.2.4 - Completing the Square [Seite 170]
7.2.5 - Dealing with Impossible Answers [Seite 171]
7.2.6 - Answers to Problems on Solving Quadratic Equations [Seite 173]
7.3 - Chapter 14 Yielding to Higher Powers [Seite 179]
7.3.1 - Determining How Many Possible Roots [Seite 180]
7.3.2 - Applying the Rational Root Theorem [Seite 181]
7.3.3 - Using the Factor/Root Theorem [Seite 182]
7.3.4 - Solving by Factoring [Seite 184]
7.3.5 - Solving Powers That Are Quadratic-Like [Seite 186]
7.3.6 - Answers to Problems on Solving Higher Power Equations [Seite 188]
7.4 - Chapter 15 Reeling in Radical and Absolute Value Equations [Seite 191]
7.4.1 - Squaring Both Sides to Solve Radical Equations [Seite 192]
7.4.2 - Doubling the Fun with Radical Equations [Seite 194]
7.4.3 - Solving Absolute Value Equations [Seite 195]
7.4.4 - Answers to Problems on Radical and Absolute Value Equations [Seite 197]
7.5 - Chapter 16 Getting Even with Inequalities [Seite 201]
7.5.1 - Using the Rules to Work on Inequality Statements [Seite 202]
7.5.2 - Rewriting Inequalities by Using Interval Notation [Seite 203]
7.5.3 - Solving Linear Inequalities [Seite 204]
7.5.4 - Solving Quadratic Inequalities [Seite 205]
7.5.5 - Dealing with Polynomial and Rational Inequalities [Seite 207]
7.5.6 - Solving Absolute Value Inequalities [Seite 208]
7.5.7 - Solving Complex Inequalities [Seite 210]
7.5.8 - Answers to Problems on Working with Inequalities [Seite 211]
8 - Part 4 Solving Story Problems and Sketching Graphs [Seite 215]
8.1 - Chapter 17 Facing Up to Formulas [Seite 217]
8.1.1 - Working with Formulas [Seite 218]
8.1.2 - Deciphering Perimeter, Area, and Volume [Seite 219]
8.1.2.1 - Using perimeter formulas to get around [Seite 219]
8.1.2.2 - Squaring off with area formulas [Seite 221]
8.1.2.3 - Working with volume formulas [Seite 223]
8.1.3 - Getting Interested in Using Percent [Seite 225]
8.1.4 - Answers to Problems on Using Formulas [Seite 227]
8.2 - Chapter 18 Making Formulas Work in Basic Story Problems [Seite 231]
8.2.1 - Applying the Pythagorean Theorem [Seite 232]
8.2.2 - Using Geometry to Solve Story Problems [Seite 233]
8.2.3 - Putting Distance, Rate, and Time in a Formula [Seite 236]
8.2.3.1 - Examining the distance-rate-time formula [Seite 236]
8.2.3.2 - Going the distance with story problems [Seite 238]
8.2.4 - Answers to Making Formulas Work in Basic Story Problems [Seite 240]
8.3 - Chapter 19 Relating Values in Story Problems [Seite 245]
8.3.1 - Tackling Age Problems [Seite 246]
8.3.2 - Tackling Consecutive Integer Problems [Seite 247]
8.3.3 - Working Together on Work Problems [Seite 250]
8.3.4 - Answers to Relating Values in Story Problems [Seite 252]
8.4 - Chapter 20 Measuring Up with Quality and Quantity Story Problems [Seite 255]
8.4.1 - Achieving the Right Blend with Mixtures Problems [Seite 256]
8.4.2 - Concocting the Correct Solution One Hundred Percent of the Time [Seite 258]
8.4.3 - Dealing with Money Problems [Seite 260]
8.4.4 - Answers to Problems on Measuring Up with Quality and Quantity [Seite 262]
8.5 - Chapter 21 Getting a Handle on Graphing [Seite 267]
8.5.1 - Thickening the Plot with Points [Seite 267]
8.5.2 - Sectioning Off by Quadrants [Seite 269]
8.5.3 - Using Points to Lay Out Lines [Seite 270]
8.5.4 - Graphing Lines with Intercepts [Seite 272]
8.5.5 - Computing Slopes of Lines [Seite 273]
8.5.6 - Graphing with the Slope-Intercept Form [Seite 275]
8.5.7 - Changing to the Slope-Intercept Form [Seite 277]
8.5.8 - Writing Equations of Lines [Seite 278]
8.5.9 - Picking on Parallel and Perpendicular Lines [Seite 279]
8.5.10 - Finding Distances between Points [Seite 280]
8.5.11 - Finding the Intersections of Lines [Seite 281]
8.5.12 - Graphing Parabolas and Circles [Seite 282]
8.5.13 - Graphing with Transformations [Seite 284]
8.5.14 - Answers to Problems on Graphing [Seite 287]
9 - Part 5 The Part of Tens [Seite 295]
9.1 - Chapter 22 Ten Common Errors That Get Noticed [Seite 297]
9.1.1 - Squaring a Negative or Negative of a Square [Seite 297]
9.1.2 - Squaring a Binomial [Seite 298]
9.1.3 - Operating on Radicals [Seite 298]
9.1.4 - Distributing a Negative Throughout [Seite 299]
9.1.5 - Fracturing Fractions [Seite 299]
9.1.6 - Raising a Power to a Power [Seite 300]
9.1.7 - Making Negative Exponents Flip [Seite 300]
9.1.8 - Making Sense of Reversing the Sense [Seite 300]
9.1.9 - Using the Slope Formula Correctly [Seite 301]
9.1.10 - Writing Several Fractions as One [Seite 301]
9.2 - Chapter 23 Ten Quick Tips to Make Algebra a Breeze [Seite 303]
9.2.1 - Flipping Proportions [Seite 303]
9.2.2 - Multiplying Through to Get Rid of Fractions [Seite 304]
9.2.3 - Zeroing In on Fractions [Seite 304]
9.2.4 - Finding a Common Denominator [Seite 304]
9.2.5 - Dividing by 3 or 9 [Seite 305]
9.2.6 - Dividing by 2, 4, or 8 [Seite 305]
9.2.7 - Commuting Back and Forth [Seite 305]
9.2.8 - Factoring Quadratics [Seite 306]
9.2.9 - Making Radicals Less Rad, Baby [Seite 306]
9.2.10 - Applying Acronyms [Seite 306]
10 - Index [Seite 307]
11 - EULA [Seite 315]

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