{"product_id":"precalculus-workbook-for-dummies-9781119508809","title":"PreCalculus Workbook For Dummies","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eGet a handle on pre-calculus in a pinch!\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIf you're tackling pre-calculus and want to up your chances of doing your very best, this hands-on workbook is just what you need to grasp and retain the concepts that will help you succeed. Inside, you'll get basic content review for every concept, paired with examples and plenty of practice problems, ample workspace, step-by-step solutions, and thorough explanations for each and every problem.\u003c\/p\u003e \u003cp\u003eIn \u003ci\u003ePre-Calculus Workbook For Dummies\u003c\/i\u003e, you'll also get free access to a quiz for every chapter online! With all of the lessons and practice offered, you'll memorize the most frequently used formulas, see how to avoid common mistakes, understand tricky trig proofs, and get the inside scoop on key concepts such as quadratic equations.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eGet ample review before jumping into a calculus course\u003c\/li\u003e \u003cli\u003eSupplement your classroom work with easy-to-follow guidance\u003c\/li\u003e \u003cli\u003eMake complex formulas and concepts more approacha\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eIntroduction\u003c\/b\u003e\u003cb\u003e 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAbout This Book 1\u003c\/p\u003e \u003cp\u003eFoolish Assumptions 2\u003c\/p\u003e \u003cp\u003eIcons Used in This Book 2\u003c\/p\u003e \u003cp\u003eBeyond the Book 3\u003c\/p\u003e \u003cp\u003eWhere to Go from Here 3\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 1: Setting the Foundation: The Nuts And Bolts of Pre-Calculus\u003c\/b\u003e\u003cb\u003e 5\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1: Preparing for Pre-Calculus\u003c\/b\u003e\u003cb\u003e 7\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eReviewing Order of Operations: The Fun in Fundamentals 8\u003c\/p\u003e \u003cp\u003eKeeping Your Balance While Solving Equalities 10\u003c\/p\u003e \u003cp\u003eWhen Your Image Really Counts: Graphing Equalities and Inequalities 12\u003c\/p\u003e \u003cp\u003eGraphing with two points 12\u003c\/p\u003e \u003cp\u003eGraphing by using the slope-intercept form 13\u003c\/p\u003e \u003cp\u003eGraphing inequalities 14\u003c\/p\u003e \u003cp\u003eUsing Graphs to Find Distance, Midpoint, and Slope 15\u003c\/p\u003e \u003cp\u003eFinding the distance 15\u003c\/p\u003e \u003cp\u003eCalculating the midpoint 16\u003c\/p\u003e \u003cp\u003eDiscovering the slope 16\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Fundamentals 19\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2: Real Numbers Come Clean\u003c\/b\u003e\u003cb\u003e 25\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSolving Inequalities 25\u003c\/p\u003e \u003cp\u003eExpressing Inequality Solutions in Interval Notation 28\u003c\/p\u003e \u003cp\u003eRadicals and Exponents — Just Simplify! 30\u003c\/p\u003e \u003cp\u003eGetting Out of a Sticky Situation, or Rationalizing 33\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Real Numbers 35\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3: Controlling Functions by Knowing Their Function\u003c\/b\u003e\u003cb\u003e 39\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eUsing Both Faces of the Coin: Even and Odd 40\u003c\/p\u003e \u003cp\u003eLeaving the Nest: Transforming Parent Graphs 42\u003c\/p\u003e \u003cp\u003eQuadratic functions 42\u003c\/p\u003e \u003cp\u003eSquare root functions 42\u003c\/p\u003e \u003cp\u003eAbsolute value functions 43\u003c\/p\u003e \u003cp\u003eCubic functions 43\u003c\/p\u003e \u003cp\u003eCube root functions 44\u003c\/p\u003e \u003cp\u003eSteeper or flatter 44\u003c\/p\u003e \u003cp\u003eTranslations 46\u003c\/p\u003e \u003cp\u003eReflections 46\u003c\/p\u003e \u003cp\u003eCombinations of transformations 46\u003c\/p\u003e \u003cp\u003eGraphing Rational Functions 49\u003c\/p\u003e \u003cp\u003ePiecing Together Piecewise Functions 52\u003c\/p\u003e \u003cp\u003eCombining Functions 54\u003c\/p\u003e \u003cp\u003eEvaluating Composition of Functions 55\u003c\/p\u003e \u003cp\u003eWorking Together: Domain and Range 57\u003c\/p\u003e \u003cp\u003eUnlocking the Inverse of a Function: Turning It Inside Out 59\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Functions 61\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4: Searching for Roots\u003c\/b\u003e\u003cb\u003e 75\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eFactoring a Factorable Quadratic 75\u003c\/p\u003e \u003cp\u003eSolving a Quadratic Polynomial Equation 78\u003c\/p\u003e \u003cp\u003eCompleting the square 78\u003c\/p\u003e \u003cp\u003eQuadratic formula 79\u003c\/p\u003e \u003cp\u003eSolving High-Order Polynomials 80\u003c\/p\u003e \u003cp\u003eFactoring by grouping 80\u003c\/p\u003e \u003cp\u003eDetermining positive and negative roots: Descartes’ Rule of Signs 81\u003c\/p\u003e \u003cp\u003eCounting on imaginary roots 81\u003c\/p\u003e \u003cp\u003eGetting the rational roots 81\u003c\/p\u003e \u003cp\u003eFinding roots through synthetic division 82\u003c\/p\u003e \u003cp\u003eUsing Roots to Create an Equation 84\u003c\/p\u003e \u003cp\u003eGraphing Polynomials 85\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Roots and Degrees 89\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5: Exponential and Logarithmic Functions\u003c\/b\u003e\u003cb\u003e 95\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eWorking with Exponential Functions 95\u003c\/p\u003e \u003cp\u003eEagerly Engaging Edgy Logarithmic Solutions 98\u003c\/p\u003e \u003cp\u003eMaking Exponents and Logs Work Together 101\u003c\/p\u003e \u003cp\u003eUsing Exponents and Logs in Practical Applications 103\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Exponential and Logarithmic Functions 106\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 2: Trig is the Key: Basic Review, The Unit Circle, and Graphs\u003c\/b\u003e\u003cb\u003e 113\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6: Basic Trigonometry and the Unit Circle\u003c\/b\u003e\u003cb\u003e 115\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eFinding the Six Trigonometric Ratios 115\u003c\/p\u003e \u003cp\u003eSolving Word Problems with Right Triangles 118\u003c\/p\u003e \u003cp\u003eUnit Circle and the Coordinate Plane: Finding Points and Angles 121\u003c\/p\u003e \u003cp\u003eFinding Ratios from Angles on the Unit Circle 124\u003c\/p\u003e \u003cp\u003eSolving Trig Equations 127\u003c\/p\u003e \u003cp\u003eMaking and Measuring Arcs 129\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Basic Trig and the Unit Circle 131\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7: Graphing and Transforming Trig Functions\u003c\/b\u003e\u003cb\u003e 137\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eGetting a Grip on Periodic Graphs 137\u003c\/p\u003e \u003cp\u003eParent Graphs and Transformations: Sine and Cosine 138\u003c\/p\u003e \u003cp\u003eTangent and Cotangent: More Family Members 141\u003c\/p\u003e \u003cp\u003eGenerations: Secant and Cosecant 143\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Graphing and Transforming Trig Functions 147\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 3: Digging Into Advanced Trig: Identities, Theorems, and Applications\u003c\/b\u003e\u003cb\u003e 155\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8: Basic Trig Identities\u003c\/b\u003e\u003cb\u003e 157\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eUsing Reciprocal Identities to Simplify Trig Expressions 157\u003c\/p\u003e \u003cp\u003eSimplifying with Pythagorean Identities 159\u003c\/p\u003e \u003cp\u003eDiscovering Even-Odd Identities 160\u003c\/p\u003e \u003cp\u003eSimplifying with Co-Function Identities 162\u003c\/p\u003e \u003cp\u003eMoving with Periodicity Identities 163\u003c\/p\u003e \u003cp\u003eTackling Trig Proofs (Identities) 165\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Basic Trig Identities 167\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9: Advanced Trig Identities\u003c\/b\u003e\u003cb\u003e 175\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSimplifying with Sum and Difference Identities 175\u003c\/p\u003e \u003cp\u003eUsing Double-Angle Identities 178\u003c\/p\u003e \u003cp\u003eReducing with Half-Angle Identities 180\u003c\/p\u003e \u003cp\u003eChanging Products to Sums 181\u003c\/p\u003e \u003cp\u003eExpressing Sums as Products 182\u003c\/p\u003e \u003cp\u003ePowering Down: Power-Reducing Formulas 184\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Advanced Trig Identities 186\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 10: Solving Oblique Triangles\u003c\/b\u003e\u003cb\u003e 193\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSolving a Triangle with the Law of Sines: ASA and AAS 194\u003c\/p\u003e \u003cp\u003eTackling Triangles in the Ambiguous Case: SSA 195\u003c\/p\u003e \u003cp\u003eConquering a Triangle with the Law of Cosines: SAS and SSS 197\u003c\/p\u003e \u003cp\u003eUsing Oblique Triangles to Solve Practical Applications 198\u003c\/p\u003e \u003cp\u003eFiguring Area 201\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Solving Triangles 202\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 4: Polar Coordinates, Cones, Solutions, Sequences, and Finding Your Limits\u003c\/b\u003e\u003cb\u003e 209\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 11: Exploring Complex Numbers and Polar Coordinates\u003c\/b\u003e\u003cb\u003e 211\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003ePerforming Operations with and Graphing Complex Numbers 212\u003c\/p\u003e \u003cp\u003eRound a Pole: Graphing Polar Coordinates 215\u003c\/p\u003e \u003cp\u003eChanging to and from Polar 217\u003c\/p\u003e \u003cp\u003eGraphing Polar Equations 220\u003c\/p\u003e \u003cp\u003eArchimedean spiral 220\u003c\/p\u003e \u003cp\u003eCardioid 220\u003c\/p\u003e \u003cp\u003eRose 220\u003c\/p\u003e \u003cp\u003eCircle 220\u003c\/p\u003e \u003cp\u003eLemniscate 220\u003c\/p\u003e \u003cp\u003eLimaçon 221\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Complex Numbers and Polar Coordinates 223\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 12: Conquering Conic Sections\u003c\/b\u003e\u003cb\u003e 229\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA Quick Conic Review 230\u003c\/p\u003e \u003cp\u003eGoing Round and Round with Circles 230\u003c\/p\u003e \u003cp\u003eThe Ups and Downs: Graphing Parabolas 232\u003c\/p\u003e \u003cp\u003eStanding tall: Vertical parabolas 233\u003c\/p\u003e \u003cp\u003eLying down on the job: Horizontal parabolas 235\u003c\/p\u003e \u003cp\u003eThe Fat and the Skinny: Graphing Ellipses 237\u003c\/p\u003e \u003cp\u003eShort and fat: The horizontal ellipse 237\u003c\/p\u003e \u003cp\u003eTall and skinny: The vertical ellipse 239\u003c\/p\u003e \u003cp\u003eNo Caffeine Required: Graphing Hyperbolas 241\u003c\/p\u003e \u003cp\u003eHorizontal hyperbolas 241\u003c\/p\u003e \u003cp\u003eVertical hyperbolas 244\u003c\/p\u003e \u003cp\u003eIdentifying Conic Sections 246\u003c\/p\u003e \u003cp\u003eConic Sections in Parametric Form and Polar Coordinates 248\u003c\/p\u003e \u003cp\u003eParametric form for conic sections 248\u003c\/p\u003e \u003cp\u003eChanging from parametric form to rectangular form 250\u003c\/p\u003e \u003cp\u003eConic sections on the polar coordinate plane 251\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Conic Sections 253\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 13: Finding Solutions for Systems of Equations\u003c\/b\u003e\u003cb\u003e 265\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA Quick-and-Dirty Technique Overview 266\u003c\/p\u003e \u003cp\u003eSolving Two Linear Equations with Two Variables 266\u003c\/p\u003e \u003cp\u003eThe substitution method 267\u003c\/p\u003e \u003cp\u003eThe elimination method 268\u003c\/p\u003e \u003cp\u003eNot-So-Straight: Solving Nonlinear Systems 269\u003c\/p\u003e \u003cp\u003eOne equation that’s linear and one that isn’t 269\u003c\/p\u003e \u003cp\u003eTwo nonlinear equations 270\u003c\/p\u003e \u003cp\u003eSystems of rational equations 271\u003c\/p\u003e \u003cp\u003eSystems of More Than Two Equations 272\u003c\/p\u003e \u003cp\u003eGraphing Systems of Inequalities 274\u003c\/p\u003e \u003cp\u003eBreaking Down Decomposing Partial Fractions 276\u003c\/p\u003e \u003cp\u003eWorking with a Matrix 278\u003c\/p\u003e \u003cp\u003eGetting It in the Right Form: Simplifying Matrices 281\u003c\/p\u003e \u003cp\u003eSolving Systems of Equations Using Matrices 283\u003c\/p\u003e \u003cp\u003eGaussian elimination 283\u003c\/p\u003e \u003cp\u003eInverse matrices 285\u003c\/p\u003e \u003cp\u003eCramer’s Rule 287\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Systems of Equations 289\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 14: Spotting Patterns in Sequences and Series\u003c\/b\u003e\u003cb\u003e 301\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eGeneral Sequences and Series: Determining Terms 301\u003c\/p\u003e \u003cp\u003eWorking Out the Common Difference: Arithmetic Sequences and Series 303\u003c\/p\u003e \u003cp\u003eSimplifying Geometric Sequences and Series 305\u003c\/p\u003e \u003cp\u003eExpanding Polynomials Using the Binomial Theorem 308\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Sequences, Series, and Binomials 310\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 15: Previewing Calculus\u003c\/b\u003e\u003cb\u003e 315\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eFinding Limits: Graphically, Analytically, and Algebraically 316\u003c\/p\u003e \u003cp\u003eGraphically 316\u003c\/p\u003e \u003cp\u003eAnalytically 318\u003c\/p\u003e \u003cp\u003eAlgebraically 319\u003c\/p\u003e \u003cp\u003eKnowing Your Limits 321\u003c\/p\u003e \u003cp\u003eCalculating the Average Rate of Change 322\u003c\/p\u003e \u003cp\u003eDetermining Continuity 323\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Calculus 326\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 5: The Part of Tens\u003c\/b\u003e\u003cb\u003e 329\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 16: Ten Plus Parent Graphs\u003c\/b\u003e\u003cb\u003e 331\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSquaring Up with Quadratics 331\u003c\/p\u003e \u003cp\u003eCueing Up for Cubics 332\u003c\/p\u003e \u003cp\u003eRooting for Square Roots and Cube Roots 333\u003c\/p\u003e \u003cp\u003eGraphing Absolutely Fabulous Absolute Value Functions 334\u003c\/p\u003e \u003cp\u003eFlipping over Rational Functions 334\u003c\/p\u003e \u003cp\u003eExploring Exponential Graphs and Logarithmic Graphs 335\u003c\/p\u003e \u003cp\u003eSeeing the Sine and Cosine 336\u003c\/p\u003e \u003cp\u003eCovering Cosecant and Secant 337\u003c\/p\u003e \u003cp\u003eTripping over Tangent and Cotangent 338\u003c\/p\u003e \u003cp\u003eLining Up and Going Straight with Lines 339\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 17: Ten Missteps to Avoid\u003c\/b\u003e\u003cb\u003e 341\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eGoing Out of Order (of Operations) 341\u003c\/p\u003e \u003cp\u003eFOILing Binomials Incorrectly 342\u003c\/p\u003e \u003cp\u003eBreaking Up Fractions Badly 342\u003c\/p\u003e \u003cp\u003eCombining Terms That Can’t Be Combined 342\u003c\/p\u003e \u003cp\u003eForgetting to Flip the Fraction 342\u003c\/p\u003e \u003cp\u003eLosing the Negative (Sign) 343\u003c\/p\u003e \u003cp\u003eOversimplifying Roots 343\u003c\/p\u003e \u003cp\u003eExecuting Exponent Errors 343\u003c\/p\u003e \u003cp\u003eIgnoring Extraneous 344\u003c\/p\u003e \u003cp\u003eMisinterpreting Trig Notation 344\u003c\/p\u003e \u003cp\u003eIndex 345\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"John Wiley \u0026 Sons 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