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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. Algebra I All-In-One For Dummies is the key! With it, you'll get everything you need to solve the mystery of Algebra I.
This book proves that algebra is for everyone with straightforward, unit-based instruction, hundreds of examples and practice problems, and two quizzes for every chapter - one in the book and another (totally different!) online. From graph and word problems to the FOIL method and common algebra terminology, Algebra I All-In-One For Dummies walks you step-by-step through ALL the concepts you need to know to slay your Algebra I class.
In this handy guide, you'll also:
* Receive instruction and tips on how to handle basic and intermediate algebraic tasks such as factoring and equation simplification
* Banish math anxiety forever by developing an intuitive understanding of how algebra works
* Get a handle on graphing problems and functions, as well as inequalities and word problems
Algebra I All-In-One For Dummies is a must-read for Algebra students looking for an everything-in-one-book supplement to their coursework, as well as anyone hoping to brush up on their math before tackling a related subject, such as physics, chemistry, or a more advanced math topic.
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. Algebra I All-In-One For Dummies is the key! With it, you'll get everything you need to solve the mystery of Algebra I.
This book proves that algebra is for everyone with straightforward, unit-based instruction, hundreds of examples and practice problems, and two quizzes for every chapter - one in the book and another (totally different!) online. From graph and word problems to the FOIL method and common algebra terminology, Algebra I All-In-One For Dummies walks you step-by-step through ALL the concepts you need to know to slay your Algebra I class.
In this handy guide, you'll also:
* Receive instruction and tips on how to handle basic and intermediate algebraic tasks such as factoring and equation simplification
* Banish math anxiety forever by developing an intuitive understanding of how algebra works
* Get a handle on graphing problems and functions, as well as inequalities and word problems
Algebra I All-In-One For Dummies is a must-read for Algebra students looking for an everything-in-one-book supplement to their coursework, as well as anyone hoping to brush up on their math before tackling a related subject, such as physics, chemistry, or a more advanced math topic.
Mary Jane Sterling taught algebra, business calculus, geometry, and finite mathematics at Bradley University in Peoria, Illinois, for more than 30 years. When she's not solving for X, she's often writing other math books, such as Trigonometry For Dummies and Finite Math For Dummies.
Introduction 1
About This Book 1
Foolish Assumptions 2
Icons Used in This Book 2
Beyond the Book 3
Where to Go from Here 3
Book 1: Starting Out With Numbers and Properties 5
Chapter 1: Assembling Your Tools: Number Systems 7
Identifying Numbers by Name 8
Realizing real numbers 8
Counting on natural numbers 8
Whittling out whole numbers 8
Integrating integers 9
Being reasonable: Rational numbers 9
Restraining irrational numbers 9
Picking out primes and composites 10
Zero: It's Complicated 10
Imagining imaginary numbers 10
Coping with complex numbers 10
Placing Numbers on the Number Line 12
Speaking in Algebra 13
Being precise with words 13
Describing the size of an expression 15
Relating operations with symbols 15
Taking Aim at Algebra-Speak 17
Herding numbers with grouping symbols 17
Defining relationships 19
Taking on algebraic tasks 20
Practice Questions Answers and Explanations 22
Whaddya Know? Chapter 1 Quiz 23
Answers to Chapter 1 Quiz 25
Chapter 2: Deciphering Signs in Expressions 27
Assigning Numbers Their Place 27
Using the number line 28
Comparing positives and negatives with symbols 29
Zeroing in on Zero 31
Going in for Operations 32
Sorting out types of operations 32
Tackling the Basic Binary Operations 35
Adding signed numbers 35
Making a Difference with Signed Numbers 38
Multiplying Signed Numbers 40
Dividing Signed Numbers 41
Working with Nothing: Zero and Signed Numbers 42
Practice Questions Answers and Explanations 44
Whaddya Know? Chapter 2 Quiz 47
Answers to Chapter 2 Quiz 48
Chapter 3: Incorporating Algebraic Properties 49
Getting a Grip on Grouping Symbols 49
Spreading, Grouping, and Changing the Order 52
Distributing the wealth 52
Making Associations Work 53
Computing by Commuting 55
Relating Inverses and Identities 56
Investigating Inverses 56
Identifying Identities 58
Working with Factorial 59
Applying the Greatest Integer Function 60
Practice Question Answers and Explanations 62
Whaddya Know? Chapter 3 Quiz 66
Answers to Chapter 3 Quiz 67
Chapter 4: Coordinating Fractions and Decimals 69
Converting Improper Fractions and Mixed Numbers 70
Finding Fraction Equivalences 72
Rewriting fractions 72
Determining lowest terms 74
Making Proportional Statements 75
Finding Common Denominators 77
Creating common denominators from multiples of factors 78
Using the box method 80
Applying Fractional Operations 81
Adding and subtracting fractions 81
Multiplying and dividing fractions 83
Simplifying Complex Fractions 86
Performing Operations with Decimals 88
Changing Fractions to Decimals and Vice Versa 89
Making fractions become decimals 90
Rounding decimals 91
Writing decimals as equivalent fractions 91
Practice Question Answers and Explanations 94
Whaddya Know? Chapter 4 Quiz 101
Answers to Chapter 4 Quiz 103
Book 2: Operating On Operations 105
Chapter 5: Taming Rampaging Radicals 107
Simplifying Radical Terms 108
Working through Radical Expressions 109
Recognizing perfect square terms 109
Rewriting radical terms 110
Rationalizing Fractions 113
Managing Radicals as Exponential Terms 114
Using Fractional Exponents 116
Making the switch to fractional exponents 117
Simplifying expressions with exponents 118
Estimating Answers 119
Practice Questions Answers and Explanations 120
Whaddya Know? Chapter 5 Quiz 124
Answers to Chapter 5 Quiz 125
Chapter 6: Exploring Exponents 127
Powering up with Exponential Notation 127
Using Negative Exponents 130
Multiplying and Dividing Exponentials 132
Multiplying the same base 132
Multiplying the same power 133
Dividing with exponents 135
Raising Powers to Powers 137
Testing the Power of Zero 139
Writing Numbers with Scientific Notation 140
Practice Questions Answers and Explanations 143
Whaddya Know? Chapter 6 Quiz 145
Answers to Chapter 6 Quiz 146
Book 3: Making Things Simple by Simplifying 149
Chapter 7: Simplifying Algebraic Expressions 151
Addressing the Order of Operations 152
Adding and Subtracting Like Terms 154
Multiplying and Dividing Algebraically 157
Dealing with factors 157
Diving into dividing 158
Gathering Terms with Grouping Symbols 160
Evaluating Expressions 163
Checking Your Answers 165
Seeing if it makes sense 165
Plugging in values 166
Practice Questions Answers and Explanations 168
Whaddya Know? Chapter 7 Quiz 171
Answers to Chapter 7 Quiz 172
Chapter 8: Working with Numbers in Their Prime 175
Beginning with the Basics 176
Composing Composite Numbers 178
Writing Prime Factorizations 178
Dividing while standing on your head 178
Getting to the root of primes with a tree 180
Wrapping your head around the rules of divisibility 182
Making Use of a Prime Factor 185
Taking primes into account 185
Pulling out factors and leaving the rest 187
Practice Questions Answers and Explanations 190
Whaddya Know? Chapter 8 Quiz 194
Answers to Chapter 8 Quiz 195
Chapter 9: Specializing in Multiplication Matters 197
Distributing One Factor Over Many 198
Distributing Signs 200
Mixing It up with Numbers and Variables 201
Negative exponents yielding fractional answers 203
Working with Fractional Powers 205
Distributing More Than One Term 207
Distributing binomials 207
Distributing trinomials 209
Curses, Foiled Again - Or Not 210
Squaring Binomials 211
Multiplying the Sum and Difference of the Same Two Terms 212
Powering Up Binomials 213
Cubing binomials 213
Raising Binomials to Higher Powers 215
Creating the Sum and Difference of Cubes 217
Multiplying Conjugates 218
Practice Questions Answers and Explanations 220
Whaddya Know? Chapter 9 Quiz 225
Answers to Chapter 9 Quiz 226
Chapter 10: Dividing the Long Way to Simplify Algebraic Expressions 229
Dividing by a Monomial 229
Dividing by a Binomial 231
Dividing by Polynomials with More Terms 233
Simplifying Division Synthetically 235
Practice Questions Answers and Explanations 237
Whaddya Know? Chapter 10 Quiz 240
Answers to Chapter 10 Quiz 241
Book 4: Factoring 243
Chapter 11: Figuring on Factoring 245
Factoring out the Greatest Common Factor 245
Factoring out numbers 246
Factoring out variables 249
Unlocking combinations of numbers and variables 252
Using the Box Method 255
Changing Factoring into a Division Problem 257
Reducing Algebraic Fractions 258
Practice Questions Answers and Explanations 260
Whaddya Know? Chapter 11 Quiz 262
Answers to Chapter 11 Quiz 264
Chapter 12: Taking the Bite out of Binomial Factoring 267
Reining in Big and Tiny Numbers 268
Factoring the Difference of Squares 269
Factoring Differences and Sums of Cubes 271
Making Factoring a Multiple Mission 274
Practice Questions Answers and Explanations 277
Whaddya Know? Chapter 12 Quiz 279
Answers to Chapter 12 Quiz 280
Chapter 13: Factoring Trinomials and Special Polynomials 281
Recognizing the Standard Quadratic Expression 281
Focusing First on the Greatest Common Factor 283
Unwrapping the FOILing Package 284
The opening to unFOIL 284
Coming to the end of the FOIL roll 287
Factoring Quadratic-Like Trinomials 290
Factoring Trinomials Using More Than One Method 291
Factoring by Grouping 293
Putting All the Factoring Together and Making Factoring Choices 297
Combining unFOIL and the GCF 297
Grouping and unFOILing in the same package 298
Incorporating the Remainder Theorem 301
Synthesizing with synthetic division 302
Choosing numbers for synthetic division 303
Practice Questions Answers and Explanations 305
Whaddya Know? Chapter 13 Quiz 310
Answers to Chapter 13 Quiz 311
Book 5: Solving Linear And Polynomial Equations 313
Chapter 14: Establishing Ground Rules for Solving Equations 315
Creating the Correct Setup for Solving Equations 316
Setting up equations for further action 316
Making plans for solving equations 316
Keeping Equations Balanced 318
Balancing with binary operations 318
Squaring both sides and suffering the consequences 320
Taking a root of both sides 322
Solving with Reciprocals 323
Making a List and Checking It Twice 324
Doing a reality check 324
Thinking like a car mechanic when checking your work 325
Practice Problems Answers and Explanations 328
Whaddya Know? Chapter 14 Quiz 330
Answers to Chapter 14 Quiz 331
Chapter 15: Lining Up Linear Equations 333
Playing by the Rules 334
Using the Addition/Subtraction Property 334
...Erscheinungsjahr: | 2021 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | 688 S. |
ISBN-13: | 9781119843047 |
ISBN-10: | 1119843049 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Sterling, Mary Jane |
Hersteller: | Wiley |
Verantwortliche Person für die EU: | Wiley-VCH GmbH, Boschstr. 12, D-69469 Weinheim, amartine@wiley-vch.de |
Maße: | 253 x 203 x 40 mm |
Von/Mit: | Mary Jane Sterling |
Erscheinungsdatum: | 09.12.2021 |
Gewicht: | 1,094 kg |
Mary Jane Sterling taught algebra, business calculus, geometry, and finite mathematics at Bradley University in Peoria, Illinois, for more than 30 years. When she's not solving for X, she's often writing other math books, such as Trigonometry For Dummies and Finite Math For Dummies.
Introduction 1
About This Book 1
Foolish Assumptions 2
Icons Used in This Book 2
Beyond the Book 3
Where to Go from Here 3
Book 1: Starting Out With Numbers and Properties 5
Chapter 1: Assembling Your Tools: Number Systems 7
Identifying Numbers by Name 8
Realizing real numbers 8
Counting on natural numbers 8
Whittling out whole numbers 8
Integrating integers 9
Being reasonable: Rational numbers 9
Restraining irrational numbers 9
Picking out primes and composites 10
Zero: It's Complicated 10
Imagining imaginary numbers 10
Coping with complex numbers 10
Placing Numbers on the Number Line 12
Speaking in Algebra 13
Being precise with words 13
Describing the size of an expression 15
Relating operations with symbols 15
Taking Aim at Algebra-Speak 17
Herding numbers with grouping symbols 17
Defining relationships 19
Taking on algebraic tasks 20
Practice Questions Answers and Explanations 22
Whaddya Know? Chapter 1 Quiz 23
Answers to Chapter 1 Quiz 25
Chapter 2: Deciphering Signs in Expressions 27
Assigning Numbers Their Place 27
Using the number line 28
Comparing positives and negatives with symbols 29
Zeroing in on Zero 31
Going in for Operations 32
Sorting out types of operations 32
Tackling the Basic Binary Operations 35
Adding signed numbers 35
Making a Difference with Signed Numbers 38
Multiplying Signed Numbers 40
Dividing Signed Numbers 41
Working with Nothing: Zero and Signed Numbers 42
Practice Questions Answers and Explanations 44
Whaddya Know? Chapter 2 Quiz 47
Answers to Chapter 2 Quiz 48
Chapter 3: Incorporating Algebraic Properties 49
Getting a Grip on Grouping Symbols 49
Spreading, Grouping, and Changing the Order 52
Distributing the wealth 52
Making Associations Work 53
Computing by Commuting 55
Relating Inverses and Identities 56
Investigating Inverses 56
Identifying Identities 58
Working with Factorial 59
Applying the Greatest Integer Function 60
Practice Question Answers and Explanations 62
Whaddya Know? Chapter 3 Quiz 66
Answers to Chapter 3 Quiz 67
Chapter 4: Coordinating Fractions and Decimals 69
Converting Improper Fractions and Mixed Numbers 70
Finding Fraction Equivalences 72
Rewriting fractions 72
Determining lowest terms 74
Making Proportional Statements 75
Finding Common Denominators 77
Creating common denominators from multiples of factors 78
Using the box method 80
Applying Fractional Operations 81
Adding and subtracting fractions 81
Multiplying and dividing fractions 83
Simplifying Complex Fractions 86
Performing Operations with Decimals 88
Changing Fractions to Decimals and Vice Versa 89
Making fractions become decimals 90
Rounding decimals 91
Writing decimals as equivalent fractions 91
Practice Question Answers and Explanations 94
Whaddya Know? Chapter 4 Quiz 101
Answers to Chapter 4 Quiz 103
Book 2: Operating On Operations 105
Chapter 5: Taming Rampaging Radicals 107
Simplifying Radical Terms 108
Working through Radical Expressions 109
Recognizing perfect square terms 109
Rewriting radical terms 110
Rationalizing Fractions 113
Managing Radicals as Exponential Terms 114
Using Fractional Exponents 116
Making the switch to fractional exponents 117
Simplifying expressions with exponents 118
Estimating Answers 119
Practice Questions Answers and Explanations 120
Whaddya Know? Chapter 5 Quiz 124
Answers to Chapter 5 Quiz 125
Chapter 6: Exploring Exponents 127
Powering up with Exponential Notation 127
Using Negative Exponents 130
Multiplying and Dividing Exponentials 132
Multiplying the same base 132
Multiplying the same power 133
Dividing with exponents 135
Raising Powers to Powers 137
Testing the Power of Zero 139
Writing Numbers with Scientific Notation 140
Practice Questions Answers and Explanations 143
Whaddya Know? Chapter 6 Quiz 145
Answers to Chapter 6 Quiz 146
Book 3: Making Things Simple by Simplifying 149
Chapter 7: Simplifying Algebraic Expressions 151
Addressing the Order of Operations 152
Adding and Subtracting Like Terms 154
Multiplying and Dividing Algebraically 157
Dealing with factors 157
Diving into dividing 158
Gathering Terms with Grouping Symbols 160
Evaluating Expressions 163
Checking Your Answers 165
Seeing if it makes sense 165
Plugging in values 166
Practice Questions Answers and Explanations 168
Whaddya Know? Chapter 7 Quiz 171
Answers to Chapter 7 Quiz 172
Chapter 8: Working with Numbers in Their Prime 175
Beginning with the Basics 176
Composing Composite Numbers 178
Writing Prime Factorizations 178
Dividing while standing on your head 178
Getting to the root of primes with a tree 180
Wrapping your head around the rules of divisibility 182
Making Use of a Prime Factor 185
Taking primes into account 185
Pulling out factors and leaving the rest 187
Practice Questions Answers and Explanations 190
Whaddya Know? Chapter 8 Quiz 194
Answers to Chapter 8 Quiz 195
Chapter 9: Specializing in Multiplication Matters 197
Distributing One Factor Over Many 198
Distributing Signs 200
Mixing It up with Numbers and Variables 201
Negative exponents yielding fractional answers 203
Working with Fractional Powers 205
Distributing More Than One Term 207
Distributing binomials 207
Distributing trinomials 209
Curses, Foiled Again - Or Not 210
Squaring Binomials 211
Multiplying the Sum and Difference of the Same Two Terms 212
Powering Up Binomials 213
Cubing binomials 213
Raising Binomials to Higher Powers 215
Creating the Sum and Difference of Cubes 217
Multiplying Conjugates 218
Practice Questions Answers and Explanations 220
Whaddya Know? Chapter 9 Quiz 225
Answers to Chapter 9 Quiz 226
Chapter 10: Dividing the Long Way to Simplify Algebraic Expressions 229
Dividing by a Monomial 229
Dividing by a Binomial 231
Dividing by Polynomials with More Terms 233
Simplifying Division Synthetically 235
Practice Questions Answers and Explanations 237
Whaddya Know? Chapter 10 Quiz 240
Answers to Chapter 10 Quiz 241
Book 4: Factoring 243
Chapter 11: Figuring on Factoring 245
Factoring out the Greatest Common Factor 245
Factoring out numbers 246
Factoring out variables 249
Unlocking combinations of numbers and variables 252
Using the Box Method 255
Changing Factoring into a Division Problem 257
Reducing Algebraic Fractions 258
Practice Questions Answers and Explanations 260
Whaddya Know? Chapter 11 Quiz 262
Answers to Chapter 11 Quiz 264
Chapter 12: Taking the Bite out of Binomial Factoring 267
Reining in Big and Tiny Numbers 268
Factoring the Difference of Squares 269
Factoring Differences and Sums of Cubes 271
Making Factoring a Multiple Mission 274
Practice Questions Answers and Explanations 277
Whaddya Know? Chapter 12 Quiz 279
Answers to Chapter 12 Quiz 280
Chapter 13: Factoring Trinomials and Special Polynomials 281
Recognizing the Standard Quadratic Expression 281
Focusing First on the Greatest Common Factor 283
Unwrapping the FOILing Package 284
The opening to unFOIL 284
Coming to the end of the FOIL roll 287
Factoring Quadratic-Like Trinomials 290
Factoring Trinomials Using More Than One Method 291
Factoring by Grouping 293
Putting All the Factoring Together and Making Factoring Choices 297
Combining unFOIL and the GCF 297
Grouping and unFOILing in the same package 298
Incorporating the Remainder Theorem 301
Synthesizing with synthetic division 302
Choosing numbers for synthetic division 303
Practice Questions Answers and Explanations 305
Whaddya Know? Chapter 13 Quiz 310
Answers to Chapter 13 Quiz 311
Book 5: Solving Linear And Polynomial Equations 313
Chapter 14: Establishing Ground Rules for Solving Equations 315
Creating the Correct Setup for Solving Equations 316
Setting up equations for further action 316
Making plans for solving equations 316
Keeping Equations Balanced 318
Balancing with binary operations 318
Squaring both sides and suffering the consequences 320
Taking a root of both sides 322
Solving with Reciprocals 323
Making a List and Checking It Twice 324
Doing a reality check 324
Thinking like a car mechanic when checking your work 325
Practice Problems Answers and Explanations 328
Whaddya Know? Chapter 14 Quiz 330
Answers to Chapter 14 Quiz 331
Chapter 15: Lining Up Linear Equations 333
Playing by the Rules 334
Using the Addition/Subtraction Property 334
...Erscheinungsjahr: | 2021 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | 688 S. |
ISBN-13: | 9781119843047 |
ISBN-10: | 1119843049 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Sterling, Mary Jane |
Hersteller: | Wiley |
Verantwortliche Person für die EU: | Wiley-VCH GmbH, Boschstr. 12, D-69469 Weinheim, amartine@wiley-vch.de |
Maße: | 253 x 203 x 40 mm |
Von/Mit: | Mary Jane Sterling |
Erscheinungsdatum: | 09.12.2021 |
Gewicht: | 1,094 kg |