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• Cover
• Introduction
• About This Book
• Foolish Assumptions
• Icons Used in This Book
• Beyond the Book
• Where to Go from Here
• Part 1: Getting Down to the Nitty-Gritty on Basic Operations
• Chapter 1: Deciphering Signs in Numbers
• Assigning Numbers Their Place
• Reading and Writing Absolute Value
• Adding Signed Numbers
• Making a Difference with Signed Numbers
• Multiplying Signed Numbers
• Dividing Signed Numbers
• Answers to Problems on Signed Numbers
• Chapter 2: Incorporating Algebraic Properties
• Getting a Grip on Grouping Symbols
• Distributing the Wealth
• Making Associations Work
• Computing by Commuting
• Answers to Problems on Algebraic Properties
• Chapter 3: Making Fractions and Decimals Behave
• Converting Improper and Mixed Fractions
• Finding Fraction Equivalences
• Making Proportional Statements
• Finding Common Denominators
• Adding and Subtracting Fractions
• Multiplying and Dividing Fractions
• Simplifying Complex Fractions
• Changing Fractions to Decimals and Vice Versa
• Performing Operations with Decimals
• Answers to Problems on Fractions
• Chapter 4: Exploring Exponents
• Multiplying and Dividing Exponentials
• Raising Powers to Powers
• Using Negative Exponents
• Writing Numbers with Scientific Notation
• Answers to Problems on Discovering Exponents
• Chapter 5: Taming Rampaging Radicals
• Simplifying Radical Expressions
• Rationalizing Fractions
• Arranging Radicals as Exponential Terms
• Using Fractional Exponents
• Simplifying Expressions with Exponents
• Estimating Answers
• Answers to Problems on Radicals
• Chapter 6: Simplifying Algebraic Expressions
• Adding and Subtracting Like Terms
• Multiplying and Dividing Algebraically
• Incorporating Order of Operations
• Evaluating Expressions
• Answers to Problems on Algebraic Expressions
• Part 2: Changing the Format of Expressions
• Chapter 7: Specializing in Multiplication Matters
• Distributing One Factor over Many
• Creating the Sum and Difference of Cubes
• Answers to Problems on Multiplying Expressions
• Chapter 8: 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
• Answers to Problems on Division
• Chapter 9: Figuring on Factoring
• Pouring Over Prime Factorizations
• Factoring Out the Greatest Common Factor
• Reducing Algebraic Fractions
• Answers to Problems on Factoring Expressions
• Chapter 10: Taking the Bite Out of Binomial Factoring
• Factoring the Difference of Squares
• Factoring Differences and Sums of Cubes
• Making Factoring a Multiple Mission
• Answers to Problems on Factoring
• Chapter 11: Factoring Trinomials and Special Polynomials
• Focusing First on the Greatest Common Factor (GCF)
• “Un”wrapping the FOIL
• Factoring Quadratic-Like Trinomials
• Factoring Trinomials Using More than One Method
• Factoring by Grouping
• Putting All the Factoring Together
• Answers to Problems on Factoring Trinomials and Other Expressions
• Part 3: Seek and Ye Shall Find … Solutions
• Chapter 12: Lining Up Linear Equations
• Using the Addition/Subtraction Property
• Using the Multiplication/Division Property
• Putting Several Operations Together
• Solving Linear Equations with Grouping Symbols
• Working It Out with Fractions
• Solving Proportions
• Answers to Problems on Solving Linear Equations
• Chapter 13: Muscling Up to Quadratic Equations
• Using the Square Root Rule
• Solving by Factoring
• Using the Quadratic Formula
• Completing the Square
• Dealing with Impossible Answers
• Answers to Problems on Solving Quadratic Equations
• Chapter 14: Yielding to Higher Powers
• Determining How Many Possible Roots
• Applying the Rational Root Theorem
• Using the Factor/Root Theorem
• Solving by Factoring
• Solving Powers That Are Quadratic-Like
• Answers to Problems on Solving Higher Power Equations
• Chapter 15: Reeling in Radical and Absolute Value Equations
• Squaring Both Sides to Solve Radical Equations
• Doubling the Fun with Radical Equations
• Solving Absolute Value Equations
• Answers to Problems on Radical and Absolute Value Equations
• Chapter 16: Getting Even with Inequalities
• Using the Rules to Work on Inequality Statements
• Rewriting Inequalities by Using Interval Notation
• Solving Linear Inequalities
• Solving Quadratic Inequalities
• Dealing with Polynomial and Rational Inequalities
• Solving Absolute Value Inequalities
• Solving Complex Inequalities
• Answers to Problems on Working with Inequalities
• Part 4: Solving Story Problems and Sketching Graphs
• Chapter 17: Facing Up to Formulas
• Working with Formulas
• Deciphering Perimeter, Area, and Volume
• Getting Interested in Using Percent
• Answers to Problems on Using Formulas
• Chapter 18: Making Formulas Work in Basic Story Problems
• Applying the Pythagorean Theorem
• Using Geometry to Solve Story Problems
• Putting Distance, Rate, and Time in a Formula
• Answers to Making Formulas Work in Basic Story Problems
• Chapter 19: Relating Values in Story Problems
• Tackling Age Problems
• Tackling Consecutive Integer Problems
• Working Together on Work Problems
• Answers to Relating Values in Story Problems
• Chapter 20: Measuring Up with Quality and Quantity Story Problems
• Achieving the Right Blend with Mixtures Problems
• Concocting the Correct Solution One Hundred Percent of the Time
• Dealing with Money Problems
• Answers to Problems on Measuring Up with Quality and Quantity
• Chapter 21: Getting a Handle on Graphing
• Thickening the Plot with Points
• Sectioning Off by Quadrants
• Using Points to Lay Out Lines
• Graphing Lines with Intercepts
• Computing Slopes of Lines
• Graphing with the Slope-Intercept Form
• Changing to the Slope-Intercept Form
• Writing Equations of Lines
• Picking on Parallel and Perpendicular Lines
• Finding Distances between Points
• Finding the Intersections of Lines
• Graphing Parabolas and Circles
• Graphing with Transformations
• Answers to Problems on Graphing
• Part 5: The Part of Tens
• Chapter 22: Ten Common Errors That Get Noticed
• Chapter 23: Ten Quick Tips to Make Algebra a Breeze
• About the Author
• Connect with Dummies
• End User License Agreement