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!
Autorentext
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.
Zusammenfassung
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 wrongor rightevery 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 perfectand this guide provides plenty of it. Study, practice, and score high!
Inhalt
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
Unwrapping the FOIL 119
Factoring Quadratic-Like Trinomials 121
Factoring Trinomials Using More than One Method 122
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