- Cover Page
- Title Page
- Copyright
- About the Author
- Dedication
- Contents at a Glance
- Table of Contents
- Introduction
- Part I: The Questions
- Chapter 1: Signing on with Signed Numbers
- Chapter 2: Recognizing Algebraic Properties and Notation
- The Problems You'll Work On
- What to Watch Out For
- Applying Traditional Grouping Symbols
- Introducing Some Non-Traditional Grouping Symbols
- Distributing Multiplication over Addition and Subtraction
- Associating Terms Differently with the Associative Property
- Rearranging with the Commutative Property
- Applying More Than One Property to an Expression
- Chapter 3: Working with Fractions and Decimals
- Chapter 4: Making Exponential Expressions and Operations More Compatible
- Chapter 5: Raking in Radicals
- Chapter 6: Creating More User-Friendly Algebraic Expressions
- Chapter 7: Multiplying by One or More Terms
- The Problems You'll Work On
- What to Watch Out For
- Distributing One Term Over Sums and Differences
- Distributing Using Division
- Multiplying Binomials Using Distributing
- Multiplying Binomials Using FOIL
- Distributing Binomials Over Trinomials
- Squaring Binomials
- Raising Binomials to the Third Power
- Using Pascal's Triangle
- Finding Special Products of Binomials and Trinomials
- Chapter 8: Dividing Algebraic Expressions
- Chapter 9: Factoring Basics
- Chapter 10: Factoring Binomials
- Chapter 11: Factoring Quadratic Trinomials
- Chapter 12: Other Factoring Techniques
- Chapter 13: Solving Linear Equations
- Chapter 14: Taking on Quadratic Equations
- The Problems You'll Work On
- What to Watch Out For
- Applying the Square Root Rule to Quadratic Equations
- Solving Quadratic Equations Using Factoring
- Applying the Quadratic Formula to Quadratic Equations
- Completing the Square to Solve Quadratic Equations
- Writing Complex Numbers in the Standard a + bi Form
- Finding Complex Solutions Using the Quadratic Formula
- Chapter 15: Solving Polynomials with Powers Three and Higher
- Chapter 16: Reining in Radical and Absolute Value Equations
- Chapter 17: Making Inequalities More Fair
- The Problems You'll Work On
- What to Watch Out For
- Performing Operations on Inequalities
- Writing Inequalities Using Interval Notation
- Changing Interval Notation to Inequality Notation
- Solving Linear Inequalities
- Taking on Compound Inequalities
- Solving Quadratic Inequalities
- Finding Solutions of Nonlinear Inequalities
- Rewriting and Solving Absolute Value Inequalities
- Delving into Complex Inequalities
- Chapter 18: Using Established Formulas
- The Problems You'll Work On
- What to Watch Out For
- Getting Interested in Interest Problems
- Heating It Up with Temperature Problems
- Adding up Natural Numbers
- Going the Distance with the Distance Formula
- Getting the Inside Scoop with Sums of Interior Angles
- Averaging Out the Numbers
- Summing the Squares of Numbers
- Finding the Terms of a Sequence
- Adding the Terms in an Arithmetic Sequence
- Using the Formula for the Sum of Cubes
- Compounding the Problems Involving Compound Interest
- Chapter 19: Using Formulas in Geometric Story Problems
- The Problems You'll Work On
- What to Watch Out For
- Working around the Perimeter of Rectangles
- Using the Area Formula for a Trapezoid
- Tackling Area and Perimeter of a Square
- Solving Problems Using the Perimeter of a Triangle
- Working with the Area and Perimeter of a Rectangle
- Using the Formula for the Area of a Hexagon
- Getting Pythagoras Involved in the Area of a Triangle
- Making Use of the Volume of a Box
- Working with the Volume of a Cylinder
- Changing Radians to Degrees and Degrees to Radians
- Determining the Height of an Object
- Working with Heron's Formula for the Area of a Triangle
- Chapter 20: Tackling Traditional Story Problems
- Chapter 21: Graphing Basics
- The Problems You'll Work On
- What to Watch Out For
- Plotting Points on the Coordinate System
- Determining the Quadrant of a Point
- Finding the Intercepts of a Line
- Calculating the slope of a line from two points
- Determining a Line's Slope from Its Equation
- Sketching the Graph of a Line from Its Equation
- Sketching Lines Using Two Points
- Chapter 22: Using the Algebra of Lines
- The Problems You'll Work On
- What to Watch Out For
- Writing Equations of Lines Using the Slope and a Point
- Writing the Equation of a Line Using Two Points
- Dealing with Slopes of Parallel and Perpendicular Lines
- Finding Equations of Lines Parallel or Perpendicular to One Given
- Computing the Distance Between Points
- Determining the Midpoint
- Chapter 23: Other Graphing Topics
- Part II: The Answers
- Index
Part I
The Questions
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One thousand and one algebra problems. That's a lot of work. But imagine how much work it was for me to write them. Don't get me started. Anyway, here are the general types of questions you'll be dealing with:
- Performing basic operations (Chapters 1 through 6)
- Changing the format of algebraic expressions (Chapters 7 through 12)
- Solving Equations (Chapters 13 through 17)
- Applying algebra by using formulas and solving word problems (Chapters 18 through 20)
- Graphing (Chapters 21 through 23)
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