Читать книгу Algebra I All-in-One For Dummies - Mary Jane Sterling, Mary Sterling Jane - Страница 3

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

9  Book 5: Solving Linear and Polynomial Equations Chapter 14: Establishing Ground Rules for Solving Equations Creating the Correct Setup for Solving Equations Keeping Equations Balanced Solving with Reciprocals Making a List and Checking It Twice Practice Problems Answers and Explanations Whaddya Know? Chapter 14 Quiz Answers to Chapter 14 Quiz Chapter 15: Lining Up Linear Equations Playing by the Rules Using the Addition/Subtraction Property Using the Multiplication/Division Property Putting Several Operations Together Solving Linear Equations with Grouping Symbols Working with Proportions Solving for Variables in Formulas Practice Questions Answers and Explanations Whaddya Know? Chapter 15 Quiz Answers to Chapter 15 Quiz Chapter 16: Muscling Up to Quadratic Equations Using the Square-Root Rule Factoring for a Solution Solving Quadratics with Three Terms Using the Quadratic Formula Completing the Square Imagining the Worst with Imaginary Numbers Practice Problems Answers and Explanations Whaddya Know? Chapter 16 Quiz Answers to Chapter 16 Quiz

10  Book 6: Dealing with Non-Polynomial Equations and Inequalities Chapter 17: Yielding to Higher Powers Queuing Up to Cubic Equations Determining How Many Possible Roots Applying the Rational Root Theorem Using the Factor/Root Theorem Solving by Factoring Solving Powers That Are Quadratic-Like Solving Synthetically Practice Questions Answers and Explanations Whaddya Know? Chapter 17 Quiz Answers to Chapter 17 Quiz Chapter 18: Reeling in Radical and Absolute Value Equations Raising Both Sides to Solve Radical Equations Doubling the Fun with Radical Equations Solving Absolute Value Equations Checking for Absolute Value Extraneous Roots Practice Questions Answers and Explanations Whaddya Know? Chapter 18 Quiz Answers to Chapter 18 Quiz Chapter 19: Getting Even with Inequalities Defining the Inequality Notation Using the Rules to Work on Inequality Statements Rewriting Inequalities Using Interval Notation Solving Linear Inequalities Solving Quadratic Inequalities Dealing with Polynomial and Rational Inequalities Solving Absolute-Value Inequalities Solving Complex Inequalities Practice Questions Answers and Explanations Whaddya Know? Chapter 19 Quiz Answers to Chapter 19 Quiz

11  Book 7: Evaluating Formulas and Story Problems Chapter 20: Facing Up to Formulas Working with Formulas Measuring Up Deciphering Perimeter, Area, and Volume Getting Interested in Using Percent Working out the Combinations and Permutations Practice Questions Answers and Explanations Whaddya Know? Chapter 20 Quiz Answers to Chapter 20 Quiz Chapter 21: Making Formulas Work in Basic Story Problems Setting Up to Solve Story Problems Applying the Pythagorean Theorem Using Geometry to Solve Story Problems Working around Perimeter, Area, and Volume Going ’Round in Circles Putting Distance, Rate, and Time in a Formula Counting on Interest and Percent Practice Questions Answers and Explanations Whaddya Know? Chapter 21 Quiz Answers to Chapter 21 Quiz Chapter 22: Relating Values in Story Problems Tackling Age Problems Tackling Consecutive Integer Problems Working Together on Work Problems Throwing an Object into the Air Practice Questions Answers and Explanations Whaddya Know? Chapter 22 Quiz Answers to Chapter 22 Quiz Chapter 23: Measuring Up with Quality and Quantity Story Problems Achieving the Right Blend with Mixture Problems Concocting the Correct Solution 100% of the Time Dealing with Money Problems Practice Questions Answers and Explanations Whaddya Know? Chapter 23 Quiz Answers to Chapter 23 Quiz

12  Book 8: Getting a Grip on Graphing Chapter 24: Getting a Handle on Graphing Thickening the Plot with Points Graphing Lines Computing Slopes of Lines Writing Equations of Lines Picking on Parallel and Perpendicular Lines Finding Distances between Points Finding Midpoints of Segments Practice Questions Answers and Explanations Whaddya Know? Chapter 24 Quiz Answers to Chapter 24 Quiz Chapter 25: Extending the Graphing Horizon Finding the Intersections of Lines Graphing Parabolas and Circles Curling Up with Parabolas Plotting and Plugging in Polynomial Graphs Investigating Graphs of Inequality Functions Taking on Absolute-Value Function Graphs Graphing with Transformations Practice Questions Answers and Explanations Whaddya Know? Chapter 25 Quiz Answers to Chapter 25 Quiz Chapter 26: Coordinating Systems of Equations and Graphing Defining Solutions of Systems of Equations Solving Systems of Linear Equations Solving Systems Involving Non-Linear Equations Taking on Systems of Three Linear Equations Practice Problems Answers and Explanations Whaddya Know? Chapter 26 Quiz Answers to Chapter 26 Quiz

13  Index

14  About the Author

15  Connect with Dummies

16  End User License Agreement