Mary Jane Sterling - Algebra I All-in-One For Dummies

Algebra I All-in-One For Dummies®

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Library of Congress Control Number: 2021947882

ISBN 978-1-119-84304-7 (pbk); ISBN 978-1-119-84305-4 (ebk); ISBN 978-1-119-84306-1 (ebk)

1 Cover

2 Title Page

3 Copyright

4 Introduction About This Book Foolish Assumptions Icons Used in This Book Beyond the Book Where to Go from Here

5 Book 1: Starting Out with Numbers and Properties Chapter 1: Assembling Your Tools: Number Systems Identifying Numbers by Name Placing Numbers on the Number Line Speaking in Algebra Taking Aim at Algebra-Speak Practice Questions Answers and Explanations Whaddya Know? Chapter 1 Quiz Answers to Chapter 1 Quiz Chapter 2: Deciphering Signs in Expressions Assigning Numbers Their Place Going in for Operations Tackling the Basic Binary Operations Working with Nothing: Zero and Signed Numbers Practice Questions Answers and Explanations Whaddya Know? Chapter 2 Quiz Answers to Chapter 2 Quiz Chapter 3: Incorporating Algebraic Properties Getting a Grip on Grouping Symbols Spreading, Grouping, and Changing the Order Relating Inverses and Identities Working with Factorial Applying the Greatest Integer Function Practice Question Answers and Explanations Whaddya Know? Chapter 3 Quiz Answers to Chapter 3 Quiz Chapter 4: Coordinating Fractions and Decimals Converting Improper Fractions and Mixed Numbers Finding Fraction Equivalences Making Proportional Statements Finding Common Denominators Applying Fractional Operations Simplifying Complex Fractions Performing Operations with Decimals Changing Fractions to Decimals and Vice Versa Practice Question Answers and Explanations Whaddya Know? Chapter 4 Quiz Answers to Chapter 4 Quiz

6 Book 2: Operating on Operations Chapter 5: Taming Rampaging Radicals Simplifying Radical Terms Working through Radical Expressions Rationalizing Fractions Managing Radicals as Exponential Terms Estimating Answers Practice Questions Answers and Explanations Whaddya Know? Chapter 5 Quiz Answers to Chapter 5 Quiz Chapter 6: Exploring Exponents Powering up with Exponential Notation Using Negative Exponents Multiplying and Dividing Exponentials Raising Powers to Powers Testing the Power of Zero Writing Numbers with Scientific Notation Practice Questions Answers and Explanations Whaddya Know? Chapter 6 Quiz Answers to Chapter 6 Quiz

7 Book 3: Making Things Simple by Simplifying Chapter 7: Simplifying Algebraic Expressions Addressing the Order of Operations Adding and Subtracting Like Terms Multiplying and Dividing Algebraically Gathering Terms with Grouping Symbols Evaluating Expressions Checking Your Answers Practice Questions Answers and Explanations Whaddya Know? Chapter 7 Quiz Answers to Chapter 7 Quiz Chapter 8: Working with Numbers in Their Prime Beginning with the Basics Composing Composite Numbers Writing Prime Factorizations Making Use of a Prime Factor Practice Questions Answers and Explanations Whaddya Know? Chapter 8 Quiz Answers to Chapter 8 Quiz Chapter 9: Specializing in Multiplication Matters Distributing One Factor Over Many Distributing Signs Mixing It up with Numbers and Variables Distributing More Than One Term Curses, Foiled Again — Or Not Squaring Binomials Multiplying the Sum and Difference of the Same Two Terms Powering Up Binomials Creating the Sum and Difference of Cubes Multiplying Conjugates Practice Questions Answers and Explanations Whaddya Know? Chapter 9 Quiz Answers to Chapter 9 Quiz Chapter 10: Dividing the Long Way to Simplify Algebraic Expressions Dividing by a Monomial Dividing by a Binomial Dividing by Polynomials with More Terms Simplifying Division Synthetically Practice Questions Answers and Explanations Whaddya Know? Chapter 10 Quiz Answers to Chapter 10 Quiz

8 Book 4: Factoring Chapter 11: Figuring on Factoring Factoring out the Greatest Common Factor Using the Box Method Changing Factoring into a Division Problem Reducing Algebraic Fractions Practice Questions Answers and Explanations Whaddya Know? Chapter 11 Quiz Answers to Chapter 11 Quiz Chapter 12: Taking the Bite out of Binomial Factoring Reining in Big and Tiny Numbers Factoring the Difference of Squares Factoring Differences and Sums of Cubes Making Factoring a Multiple Mission Practice Questions Answers and Explanations Whaddya Know? Chapter 12 Quiz Answers to Chapter 12 Quiz Chapter 13: Factoring Trinomials and Special Polynomials Recognizing the Standard Quadratic Expression Focusing First on the Greatest Common Factor Factoring Quadratic-Like Trinomials Factoring Trinomials Using More Than One Method Factoring by Grouping Putting All the Factoring Together and Making Factoring Choices Incorporating the Remainder Theorem Practice Questions Answers and Explanations Whaddya Know? Chapter 13 Quiz Answers to Chapter 13 Quiz