Book
Algebra I for dummies all-in-one / by Mary Jane Sterling.
Solve for 'X' with this practical and easy guide to everything algebra A solid understanding of algebra is the key to unlocking other areas of math and science that rely on the concepts and skills that happen in a foundational Algebra class.
Record details
- ISBN: 9781119843047
- ISBN: 1119843049
- Physical Description: xiii, 672 pages : illustrations ; 26 cm.
- Publisher: Hoboken, NJ : for dummies, a Wiley brand, [2022]
- Copyright: ©2022
Content descriptions
| General Note: | Includes index. |
| Formatted Contents Note: | Starting out with numbers and properties -- Operating on operations -- Making things simple by simplifying -- Factoring -- Solving linear and polynomial equations -- Dealing with non-polynomial equations and inequalities -- Evaluating formulas and story problems -- -- Getting a grip on graphing. |
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| Subject: | Algebra > Problems, exercises, etc. |
| Genre: | Problems and exercises. |
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Available copies
- 2 of 2 copies available at Missouri Evergreen. (Show)
- 1 of 1 copy available at Rolla Public.
Holds
- 0 current holds with 2 total copies.
Show Only Available Copies
| Location | Call Number / Copy Notes | Barcode | Shelving Location | Status | Due Date |
|---|---|---|---|---|---|
| Rolla Public Library | NF 512.0076 STE (Text) | 38256101865354 | Adult Nonfiction | Available | - |
Algebra I All-In-One for Dummies
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Table of Contents
Algebra I All-In-One for Dummies
| Section | Section Description | Page Number |
|---|---|---|
| Introduction | p. 1 | |
| About This Book | p. 1 | |
| Foolish Assumptions | p. 2 | |
| Icons Used in This Book | p. 2 | |
| Beyond the Book | p. 3 | |
| Where to Go from Here | p. 3 | |
| Book 1 | Starting Out with Numbers and Properties | p. 5 |
| Chapter 1 | Assembling Your Tools: Number Systems | p. 7 |
| Identifying Numbers by Name | p. 8 | |
| Realizing real numbers | p. 8 | |
| Counting on natural numbers | p. 8 | |
| Whittling out whole numbers | p. 8 | |
| Integrating integers | p. 9 | |
| Being reasonable: Rational numbers | p. 9 | |
| Restraining irrational numbers | p. 9 | |
| Picking out primes and composites | p. 10 | |
| Zero: It's Complicated | p. 10 | |
| Imagining imaginary numbers | p. 10 | |
| Coping with complex numbers | p. 10 | |
| Placing Numbers on the Number Line | p. 12 | |
| Speaking in Algebra | p. 13 | |
| Being precise with words | p. 13 | |
| Describing the size of an expression | p. 15 | |
| Relating operations with symbols | p. 15 | |
| Taking Aim at Algebra-Speak | p. 17 | |
| Herding numbers with grouping symbols | p. 17 | |
| Defining relationships | p. 19 | |
| Taking on algebraic tasks | p. 20 | |
| Practice Questions Answers and Explanations | p. 22 | |
| Whaddya Know? Chapter 1 Quiz | p. 23 | |
| Answers to Chapter 1 Quiz | p. 25 | |
| Chapter 2 | Deciphering Signs in Expressions | p. 27 |
| Assigning Numbers Their Place | p. 27 | |
| Using the number line | p. 28 | |
| Comparing positives and negatives with symbols | p. 29 | |
| Zeroing in on Zero | p. 31 | |
| Going in for Operations | p. 32 | |
| Sorting out types of operations | p. 32 | |
| Tackling the Basic Binary Operations | p. 35 | |
| Adding signed numbers | p. 35 | |
| Making a Difference with Signed Numbers | p. 38 | |
| Multiplying Signed Numbers | p. 40 | |
| Dividing Signed Numbers | p. 41 | |
| Working with Nothing: Zero and Signed Numbers | p. 42 | |
| Practice Questions Answers and Explanations | p. 44 | |
| Whaddya Know? Chapter 2 Quiz | p. 47 | |
| Answers to Chapter 2 Quiz | p. 48 | |
| Chapter 3 | Incorporating Algebraic Properties | p. 49 |
| Getting a Grip on Grouping Symbols | p. 49 | |
| Spreading, Grouping, and Changing the Order | p. 52 | |
| Distributing the wealth | p. 52 | |
| Making Associations Work | p. 53 | |
| Computing by Commuting | p. 55 | |
| Relating Inverses and Identities | p. 56 | |
| Investigating inverses | p. 56 | |
| Identifying Identities | p. 58 | |
| Working with Factorial | p. 59 | |
| Applying the Greatest Integer Function | p. 60 | |
| Practice Question Answers and Explanations | p. 62 | |
| Whaddya Know? Chapter 3 Quiz | p. 66 | |
| Answers to Chapter 3 Quiz | p. 67 | |
| Chapter 4 | Coordinating Fractions and Decimals | p. 69 |
| Converting Improper Fractions and Mixed Numbers | p. 70 | |
| Finding Fraction Equivalences | p. 72 | |
| Rewriting fractions | p. 72 | |
| Determining lowest terms | p. 74 | |
| Making Proportional Statements | p. 75 | |
| Finding Common Denominators | p. 77 | |
| Creating common denominators from multiples of factors | p. 78 | |
| Using the box method | p. 80 | |
| Applying Fractional Operations | p. 81 | |
| Adding and subtracting fractions | p. 81 | |
| Multiplying and dividing fractions | p. 83 | |
| Simplifying Complex Fractions | p. 86 | |
| Performing Operations with Decimals | p. 88 | |
| Changing Fractions to Decimals and Vice Versa | p. 89 | |
| Making fractions become decimals | p. 90 | |
| Rounding decimals | p. 91 | |
| Writing decimals as equivalent fractions | p. 91 | |
| Practice Question Answers and Explanations | p. 94 | |
| Whaddya Know? Chapter 4 Quiz | p. 101 | |
| Answers to Chapter 4 Quiz | p. 103 | |
| Book 2 | Operating on Operations | p. 105 |
| Chapter 5 | Taming Rampaging Radicals | p. 107 |
| Simplifying Radical Terms | p. 108 | |
| Working through Radical Expressions | p. 109 | |
| Recognizing perfect square terms | p. 109 | |
| Rewriting radical terms | p. 110 | |
| Rationalizing Fractions | p. 113 | |
| Managing Radicals as Exponential Terms | p. 114 | |
| Using Fractional Exponents | p. 116 | |
| Making the switch to fractional exponents | p. 117 | |
| Simplifying expressions with exponents | p. 118 | |
| Estimating Answers | p. 119 | |
| Practice Questions Answers and Explanations | p. 120 | |
| Whaddya Know? Chapter 5 Quiz | p. 124 | |
| Answers to Chapter 5 Quiz | p. 125 | |
| Chapter 6 | Exploring Exponents | p. 127 |
| Powering up with Exponential Notation | p. 127 | |
| Using Negative Exponents | p. 130 | |
| Multiplying and Dividing Exponentials | p. 132 | |
| Multiplying the same base | p. 132 | |
| Multiplying the same power | p. 133 | |
| Dividing with exponents | p. 135 | |
| Raising Powers to Powers | p. 137 | |
| Testing the Power of Zero | p. 139 | |
| Writing Numbers with Scientific Notation | p. 140 | |
| Practice Questions Answers and Explanations | p. 143 | |
| Whaddya Know? Chapter 6 Quiz | p. 145 | |
| Answers to Chapter 6 Quiz | p. 146 | |
| Book 3 | Making Things Simple by Simplifying | p. 149 |
| Chapter 7 | Simplifying Algebraic Expressions | p. 151 |
| Addressing the Order of Operations | p. 152 | |
| Adding and Subtracting Like Terms | p. 154 | |
| Multiplying and Dividing Algebraically | p. 157 | |
| Dealing with factors | p. 157 | |
| Diving into dividing | p. 158 | |
| Gathering Terms with Grouping Symbols | p. 160 | |
| Evaluating Expressions | p. 163 | |
| Checking Your Answers | p. 165 | |
| Seeing if it makes sense | p. 165 | |
| Plugging in values | p. 166 | |
| Practice Questions Answers and Explanations | p. 168 | |
| Whaddya Know? Chapter 7 Quiz | p. 171 | |
| Answers to Chapter 7 Quiz | p. 172 | |
| Chapter 8 | Working with Numbers in Their Prime | p. 175 |
| Beginning with the Basics | p. 176 | |
| Composing Composite Numbers | p. 178 | |
| Writing Prime Factorizations | p. 178 | |
| Dividing while standing on your head | p. 178 | |
| Getting to the root of primes with a tree | p. 180 | |
| Wrapping your head around the rules of divisibility | p. 182 | |
| Making Use of a Prime Factor | p. 185 | |
| Taking primes into account | p. 185 | |
| Pulling out factors and leaving the rest | p. 187 | |
| Practice Questions Answers and Explanations | p. 190 | |
| Whaddya Know? Chapter 8 Quiz | p. 194 | |
| Answers to Chapter 8 Quiz | p. 195 | |
| Chapter 9 | Specializing in Multiplication Matters | p. 197 |
| Distributing One Factor Over Many | p. 198 | |
| Distributing Signs | p. 200 | |
| Mixing It up with Numbers and Variables | p. 201 | |
| Negative exponents yielding fractional answers | p. 203 | |
| Working with Fractional Powers | p. 205 | |
| Distributing More Than One Term | p. 207 | |
| Distributing binomials | p. 207 | |
| Distributing trinomials | p. 209 | |
| Curses, Foiled Again - Or Not | p. 210 | |
| Squaring Binomials | p. 211 | |
| Multiplying the Sum and Difference of the Same Two Terms | p. 212 | |
| Powering Up Binomials | p. 213 | |
| Cubing binomials | p. 213 | |
| Raising Binomials to Higher Powers | p. 215 | |
| Creating the Sum and Difference of Cubes | p. 217 | |
| Multiplying Conjugates | p. 218 | |
| Practice Questions Answers and Explanations | p. 220 | |
| Whaddya Know? Chapter 9 Quiz | p. 225 | |
| Answers to Chapter 9 Quiz | p. 226 | |
| Chapter 10 | Dividing the Long Way to Simplify Algebraic Expressions | p. 229 |
| Dividing by a Monomial | p. 229 | |
| Dividing by a Binomial | p. 231 | |
| Dividing by Polynomials with More Terms | p. 233 | |
| Simplifying Division Synthetically | p. 235 | |
| Practice Questions Answers and Explanations | p. 237 | |
| Whaddya Know? Chapter 10 Quiz | p. 240 | |
| Answers to Chapter 10 Quiz | p. 241 | |
| Book 4 | Factoring | p. 243 |
| Chapter 11 | Figuring on Factoring | p. 245 |
| Factoring out the Greatest Common Factor | p. 245 | |
| Factoring out numbers | p. 246 | |
| Factoring out variables | p. 249 | |
| Unlocking combinations of numbers and variables | p. 252 | |
| Using the Box Method | p. 255 | |
| Changing Factoring into a Division Problem | p. 257 | |
| Reducing Algebraic Fractions | p. 258 | |
| Practice Questions Answers and Explanations | p. 260 | |
| Whaddya Know? Chapter 11 Quiz | p. 262 | |
| Answers to Chapter 11 Quiz | p. 264 | |
| Chapter 12 | Taking the Bite out of Binomial Factoring | p. 267 |
| Reining in Big and Tiny Numbers | p. 268 | |
| Factoring the Difference of Squares | p. 269 | |
| Factoring Differences and Sums of Cubes | p. 271 | |
| Making Factoring a Multiple Mission | p. 274 | |
| Practice Questions Answers and Explanations | p. 277 | |
| Whaddya Know? Chapter 12 Quiz | p. 279 | |
| Answers to Chapter 12 Quiz | p. 280 | |
| Chapter 13 | Factoring Trinomials and Special Polynomials | p. 281 |
| Recognizing the Standard Quadratic Expression | p. 281 | |
| Focusing First on the Greatest Common Factor | p. 283 | |
| Unwrapping the FOILing Package | p. 284 | |
| The opening to unFOlL | p. 284 | |
| Coming to the end of the FOIL roll | p. 287 | |
| Factoring Quadratic-Like Trinomials | p. 290 | |
| Factoring Trinomials Using More Than One Method | p. 291 | |
| Factoring by Grouping | p. 293 | |
| Putting All the Factoring Together and Making Factoring Choices | p. 297 | |
| Combining unFOIL and the GCF | p. 297 | |
| Grouping and unFOILing in the same package | p. 298 | |
| Incorporating the Remainder Theorem | p. 301 | |
| Synthesizing with synthetic division | p. 302 | |
| Choosing numbers for synthetic division | p. 303 | |
| Practice Questions Answers and Explanations | p. 305 | |
| Whaddya Know? Chapter 13 Quiz | p. 310 | |
| Answers to Chapter 13 Quiz | p. 311 | |
| Book 5 | Solving Linear and Polynomial Equations | p. 313 |
| Chapter 14 | Establishing Ground Rules for Solving Equations | p. 315 |
| Creating the Correct Setup for Solving Equations | p. 316 | |
| Setting up equations for further action | p. 316 | |
| Making plans for solving equations | p. 316 | |
| Keeping Equations Balanced | p. 318 | |
| Balancing with binary operations | p. 318 | |
| Squaring both sides and suffering the consequences | p. 320 | |
| Taking a root of both sides | p. 322 | |
| Solving with Reciprocals | p. 323 | |
| Making a List and Checking It Twice | p. 324 | |
| Doing a reality check | p. 324 | |
| Thinking like a car mechanic when checking your work | p. 325 | |
| Practice Problems Answers and Explanations | p. 328 | |
| Whaddya Know? Chapter 14 Quiz | p. 330 | |
| Answers to Chapter 14 Quiz | p. 331 | |
| Chapter 15 | Lining Up Linear Equations | p. 333 |
| Playing by the Rules | p. 334 | |
| Using the Addition/Subtraction Property | p. 334 | |
| Using the Multiplication/Division Property | p. 336 | |
| Devising a method using division | p. 336 | |
| Making the most of multiplication | p. 337 | |
| Reciprocating the invitation | p. 338 | |
| Putting Several Operations Together | p. 339 | |
| Solving Linear Equations with Grouping Symbols | p. 343 | |
| Nesting isn't for the birds | p. 343 | |
| Distributing first | p. 343 | |
| Multiplying or dividing before distributing | p. 346 | |
| Working with Proportions | p. 349 | |
| Using the rules for proportions | p. 349 | |
| Transforming fractional equations into proportions | p. 351 | |
| Solving for Variables in Formulas | p. 352 | |
| Practice Questions Answers and Explanations | p. 355 | |
| Whaddya Know? Chapter 15 Quiz | p. 363 | |
| Answers to Chapter 15 Quiz | p. 364 | |
| Chapter 16 | Muscling Up to Quadratic Equations | p. 367 |
| Using the Square-Root Rule | p. 368 | |
| Factoring for a Solution | p. 370 | |
| Zeroing in on the multiplication property of zero | p. 370 | |
| Assigning the greatest common factor and multiplication property of zero to solving quadratics | p. 372 | |
| Solving Quadratics with Three Terms | p. 373 | |
| Using the Quadratic Formula | p. 379 | |
| Completing the Square | p. 383 | |
| Imagining the Worst with Imaginary Numbers | p. 384 | |
| Practice Problems Answers and Explanations | p. 387 | |
| Whaddya Know? Chapter 16 Quiz | p. 392 | |
| Answers to Chapter 16 Quiz | p. 393 | |
| Book 6 | Dealing with Non-Polynomial Equations and Inequalities | p. 395 |
| Chapter 17 | Yielding to Higher Powers | p. 397 |
| Queuing Up to Cubic Equations | p. 397 | |
| Solving perfectly cubed equations | p. 398 | |
| Working with the not-so-perfectly cubed | p. 400 | |
| Going for the greatest common factor | p. 401 | |
| Grouping cubes | p. 404 | |
| Solving cubics with integers | p. 405 | |
| Determining How Many Possible Roots | p. 407 | |
| Applying the Rational Root Theorem | p. 408 | |
| Using the Factor/Root Theorem | p. 410 | |
| Solving by Factoring | p. 411 | |
| Solving Powers That Are Quadratic-Like | p. 412 | |
| Solving Synthetically | p. 416 | |
| Practice Questions Answers and Explanations | p. 420 | |
| Whaddya Know? Chapter 17 Quiz | p. 426 | |
| Answers to Chapter 17 Quiz | p. 427 | |
| Chapter 18 | Reeling in Radical and Absolute Value Equations | p. 429 |
| Raising Both Sides to Solve Radical Equations | p. 430 | |
| Powering up by squaring both sides | p. 430 | |
| Raising to higher powers | p. 433 | |
| Doubling the Fun with Radical Equations | p. 435 | |
| Solving Absolute Value Equations | p. 437 | |
| Making linear absolute value equations absolutely wonderful | p. 437 | |
| Factoring absolute value equations for solutions | p. 440 | |
| Checking for Absolute Value Extraneous Roots | p. 441 | |
| Practice Questions Answers and Explanations | p. 443 | |
| Whaddya Know? Chapter 18 Quiz | p. 447 | |
| Answers to Chapter 18 Quiz | p. 448 | |
| Chapter 19 | Getting Even with Inequalities | p. 449 |
| Defining the Inequality Notation | p. 450 | |
| Pointing in the right direction | p. 450 | |
| Grappling with graphing inequalities | p. 450 | |
| Using the Rules to Work on Inequality Statements | p. 451 | |
| Rewriting Inequalities Using Interval Notation | p. 453 | |
| Solving Linear Inequalities | p. 455 | |
| Solving Quadratic Inequalities | p. 457 | |
| Dealing with Polynomial and Rational Inequalities | p. 460 | |
| Solving Absolute-Value Inequalities | p. 463 | |
| Solving Complex Inequalities | p. 465 | |
| Practice Questions Answers and Explanations | p. 467 | |
| Whaddya Know? Chapter 19 Quiz | p. 471 | |
| Answers to Chapter 19 Quiz | p. 472 | |
| Book 7 | Evaluating Formulas and Story Problems | p. 475 |
| Chapter 20 | Facing Up to Formulas | p. 477 |
| Working with Formulas | p. 477 | |
| Measuring Up | p. 479 | |
| Finding out how long: Units of length | p. 479 | |
| Putting the Pythagorean Theorem to work | p. 482 | |
| Deciphering Perimeter, Area, and Volume | p. 484 | |
| Using perimeter formulas to get around | p. 484 | |
| Squaring off with area formulas | p. 486 | |
| Soaring with Heron's formula | p. 488 | |
| Working wish volume formulas | p. 490 | |
| Getting Interested in Using Percent | p. 492 | |
| Compounding interest formulas | p. 492 | |
| Gauging taxes and discounts | p. 495 | |
| Working out the Combinations and Permutations | p. 497 | |
| Counting down to factorials | p. 498 | |
| Counting on combinations | p. 498 | |
| Ordering up permutations | p. 500 | |
| Practice Questions Answers and Explanations | p. 502 | |
| Whaddya Know? Chapter 20 Quiz | p. 505 | |
| Answers to Chapter 20 Quiz | p. 507 | |
| Chapter 21 | Making Formulas Work in Basic Story Problems | p. 509 |
| Setting Up to Solve Story Problems | p. 509 | |
| Applying the Pythagorean Theorem | p. 511 | |
| Using Geometry to Solve Story Problems | p. 513 | |
| Working around Perimeter, Area, and Volume | p. 515 | |
| Parading out perimeter and arranging area | p. 515 | |
| Adjusting the area | p. 517 | |
| Pumping up the volume | p. 519 | |
| Going 'Round in Circles | p. 523 | |
| Putting Distance, Rate, and Time in a Formula | p. 525 | |
| Going the distance with the distance-rate-time formula | p. 525 | |
| Figuring distance plus distance | p. 527 | |
| Equating distances | p. 528 | |
| Figuring distance and fuel | p. 529 | |
| Counting on Interest and Percent | p. 530 | |
| Practice Questions Answers and Explanations | p. 532 | |
| Whaddya Know? Chapter 21 Quiz | p. 537 | |
| Answers to Chapter 21 Quiz | p. 539 | |
| Chapter 22 | Relating Values in Story Problems | p. 541 |
| Tackling Age Problems | p. 542 | |
| Tackling Consecutive Integer Problems | p. 543 | |
| Working Together on Work Problems | p. 545 | |
| Throwing an Object into the Air | p. 547 | |
| Practice Questions Answers and Explanations | p. 550 | |
| Whaddya Know? Chapter 22 Quiz | p. 553 | |
| Answers to Chapter 22 Quiz | p. 554 | |
| Chapter 23 | Measuring Up with Quality and Quantity Story Problems | p. 555 |
| Achieving the Right Blend with Mixture Problems | p. 556 | |
| Concocting the Correct Solution 100% of the Time | p. 559 | |
| Dealing with Money Problems | p. 561 | |
| Investigating investments and interest | p. 561 | |
| Going for the green: Money | p. 564 | |
| Practice Questions Answers and Explanations | p. 567 | |
| Whaddya Know? Chapter 23 Quiz | p. 571 | |
| Answers to Chapter 23 Quiz | p. 572 | |
| Book 8 | Getting a Grip on Graphing | p. 573 |
| Chapter 24 | Getting a Handle on Graphing | p. 575 |
| Thickening the Plot with Points | p. 575 | |
| Interpreting ordered pairs | p. 576 | |
| Actually Graphing Points | p. 577 | |
| Sectioning Off by Quadrants | p. 578 | |
| Graphing Lines | p. 579 | |
| Using points to lay out lines | p. 579 | |
| Going with the horizontal and vertical | p. 581 | |
| Graphing Lines Using Intercepts | p. 583 | |
| Computing Slopes of Lines | p. 585 | |
| Sighting the slope | p. 585 | |
| Formulating slope | p. 587 | |
| Graphing with the Slope-Intercept Form | p. 590 | |
| Changing to the Slope-Intercept Form | p. 591 | |
| Writing Equations of Lines | p. 592 | |
| Given a point and a slope | p. 593 | |
| Given two points | p. 593 | |
| Picking on Parallel and Perpendicular Lines | p. 594 | |
| Finding Distances between Points | p. 595 | |
| Finding Midpoints of Segments | p. 597 | |
| Practice Questions Answers and Explanations | p. 598 | |
| Whaddya Know? Chapter 24 Quiz | p. 602 | |
| Answers to Chapter 24 Quiz | p. 604 | |
| Chapter 25 | Extending the Graphing Horizon | p. 605 |
| Finding the Intersections of Lines | p. 605 | |
| Graphing for intersections | p. 606 | |
| Substituting to find intersections | p. 607 | |
| Graphing Parabolas and Circles | p. 608 | |
| Curling Up with Parabolas | p. 609 | |
| Trying out the basic parabola | p. 609 | |
| Putting the vertex on an axis | p. 610 | |
| Going around in circles with a circular graph | p. 612 | |
| Plotting and Plugging in Polynomial Graphs | p. 614 | |
| Investigating Graphs of Inequality Functions | p. 618 | |
| Taking on Absolute-Value Function Graphs | p. 620 | |
| Graphing with Transformations | p. 621 | |
| Sliding and multiplying | p. 622 | |
| Practice Questions Answers and Explanations | p. 625 | |
| Whaddya Know? Chapter 25 Quiz | p. 632 | |
| Answers to Chapter 25 Quiz | p. 633 | |
| Chapter 26 | Coordinating Systems of Equations and Graphing | p. 639 |
| Defining Solutions of Systems of Equations | p. 639 | |
| Solving Systems of Linear Equations | p. 641 | |
| Using elimination | p. 641 | |
| Using substitution | p. 642 | |
| Introducing intersections of lines | p. 643 | |
| Solving Systems Involving Non-Linear Equations | p. 644 | |
| Taking on Systems of Three Linear Equations | p. 647 | |
| Practice Problems Answers and Explanations | p. 648 | |
| Whaddya Know? Chapter 26 Quiz | p. 651 | |
| Answers to Chapter 26 Quiz | p. 652 | |
| Index | p. 655 |
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