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Algebra I: 1,001 Practice Problems For Dummies

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  • Free one-year access to practice problems online:

  • All 1,001 practice problems online from easy to hard

  • Track your progress, see where you need more help, and create customized problem sets

  • Study what, where, and when you want

  • 1,001 practice problems covering all of the topics in your Algebra I course

  • Detailed, step-by-step answers and explanations for every problem

  • 1,001 practice problems with step-by-step solutions

    This handy guide, with free access to online practice problems, gives you 1,001 opportunities to practice solving problems that you'll encounter in your Algebra I course. You start with some basic operations, move on to algebraic properties, polynomials, and quadratic equations, and finish up with graphing. Solving problems online, you'll track your progress, see where you need more help, and create customized problem sets to get you where you need to be. Every practice question includes not only a solution but a step-by-step explanation.

  • Hone your skills on the easy stuff absolute value, negative numbers, fractions and decimals, algebraic properties, and order of operations

  • Express yourself multiply, divide, and factor algebraic expressions, and simplify problems using FOIL

  • Solve all kinds of equations linear, quadratic, polynomials, inequalities, and more

  • Tackle the dreaded story problem apply the formulas you know and convert the words into equations that you can solve

  • Graphing plot points, find intersections, determine slope, and explore parabolas

  • (More) practice makes perfect use your free one-year subscription for on-the-go access to all 1,001 practice problems online

  • Go beyond the book. Get online and find:

  • One year free subscription to all questions

  • On-the-go access any way you want it from your computer, smartphone, or tablet

  • Multiple-choice questions on all your math course topics

  • Personalized reports that track your progress and help show you where you need to study the most

  • Customizable practice sets for self-directed study

  • Practice problems categorized as easy, medium, or hard

  • Table of Contents

    1. Cover Page
    2. Title Page
    3. Copyright
    4. About the Author
    5. Dedication
    6. Contents at a Glance
    7. Table of Contents
    8. Introduction
      1. What You'd Find
      2. How This Workbook Is Organized
      3. Beyond the Book
      4. Where to Go for Additional Help
    9. Part I: The Questions
      1. Chapter 1: Signing on with Signed Numbers
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Placing Real Numbers on the Number Line
        4. Using the Absolute Value Operation
        5. Adding Signed Numbers
        6. Subtracting Signed Numbers
        7. Multiplying and Dividing Signed Numbers
      2. Chapter 2: Recognizing Algebraic Properties and Notation
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Applying Traditional Grouping Symbols
        4. Introducing Some Non-Traditional Grouping Symbols
        5. Distributing Multiplication over Addition and Subtraction
        6. Associating Terms Differently with the Associative Property
        7. Rearranging with the Commutative Property
        8. Applying More Than One Property to an Expression
      3. Chapter 3: Working with Fractions and Decimals
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Adding and Subtracting Fractions
        4. Multiplying Fractions
        5. Dividing Fractions
        6. Simplifying Complex Fractions
        7. Adding and Subtracting Decimals
        8. Multiplying Decimals
        9. Dividing Decimals
        10. Changing Fractions to Decimals
        11. Changing Decimals to Fractions
      4. Chapter 4: Making Exponential Expressions and Operations More Compatible
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Multiplying and Dividing Exponentials with the Same Base
        4. Raising a Power to a Power
        5. Combining Different Operations on Exponentials
        6. Changing the Base to Perform an Operation
        7. Working with Scientific Notation
      5. Chapter 5: Raking in Radicals
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Simplifying Radical Expressions
        4. Rationalizing Denominators
        5. Using Fractional Exponents for Radicals
        6. Evaluating Expressions with Fractional Exponents
        7. Operating on Radicals
        8. Operating on Factors with Fractional Exponents
        9. Estimating Values of Radicals
      6. Chapter 6: Creating More User-Friendly Algebraic Expressions
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Adding and Subtracting Like Terms
        4. Multiplying and Dividing Factors
        5. Simplifying Expressions Using the Order of Operations
        6. Evaluating Expressions Using the Order of Operations
        7. Operating with Factorials
        8. Focusing on Function Notation
      7. Chapter 7: Multiplying by One or More Terms
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Distributing One Term Over Sums and Differences
        4. Distributing Using Division
        5. Multiplying Binomials Using Distributing
        6. Multiplying Binomials Using FOIL
        7. Distributing Binomials Over Trinomials
        8. Squaring Binomials
        9. Raising Binomials to the Third Power
        10. Using Pascal's Triangle
        11. Finding Special Products of Binomials and Trinomials
      8. Chapter 8: Dividing Algebraic Expressions
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Dividing with Monomial Divisors
        4. Monomial Divisors and Remainders
        5. Using Long Division to Divide with Binomials
        6. Dividing with Binomials Using Synthetic Division
        7. Dividing with Higher Power Divisors
      9. Chapter 9: Factoring Basics
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Finding Divisors Using Rules of Divisibility
        4. Writing Prime Factorizations
        5. Factoring Out a GCF
        6. Reducing Fractions with a Common GCF
      10. Chapter 10: Factoring Binomials
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Factoring the Difference of Perfect Squares
        4. Factoring the Sum or Difference of Two Perfect Cubes
        5. Factoring More Than Once
      11. Chapter 11: Factoring Quadratic Trinomials
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Factoring Out the GCF of a Trinomial
        4. Factoring Trinomials into the Products of Binomials
        5. Factoring Quadratic-Like Expressions
        6. Factoring Completely Using More Than One Technique
      12. Chapter 12: Other Factoring Techniques
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Factoring by Grouping
        4. Combining Other Factoring Techniques with Grouping
        5. Using Multiple Factoring Methods
      13. Chapter 13: Solving Linear Equations
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Solving Linear Equations Using Basic Operations
        4. Dealing with Fractions in Linear Equations
      14. Chapter 14: Taking on Quadratic Equations
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Applying the Square Root Rule to Quadratic Equations
        4. Solving Quadratic Equations Using Factoring
        5. Applying the Quadratic Formula to Quadratic Equations
        6. Completing the Square to Solve Quadratic Equations
        7. Writing Complex Numbers in the Standard a + bi Form
        8. Finding Complex Solutions Using the Quadratic Formula
      15. Chapter 15: Solving Polynomials with Powers Three and Higher
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Applying Descartes's Rule of Signs to Count Real Roots
        4. Applying the Rational Root Theorem to List Roots
        5. Determining Whether Numbers Are Roots
        6. Solving for the Roots of Polynomials
      16. Chapter 16: Reining in Radical and Absolute Value Equations
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Solving Basic Radical Equations
        4. Checking for Extraneous Roots
        5. Squaring Both Sides of Equations Twice
        6. Solving Radicals with Roots Other Than Square Roots
        7. Solving Absolute Value Equations
        8. Handling Absolute Value Equations with No Solution
      17. Chapter 17: Making Inequalities More Fair
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Performing Operations on Inequalities
        4. Writing Inequalities Using Interval Notation
        5. Changing Interval Notation to Inequality Notation
        6. Solving Linear Inequalities
        7. Taking on Compound Inequalities
        8. Solving Quadratic Inequalities
        9. Finding Solutions of Nonlinear Inequalities
        10. Rewriting and Solving Absolute Value Inequalities
        11. Delving into Complex Inequalities
      18. Chapter 18: Using Established Formulas
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Getting Interested in Interest Problems
        4. Heating It Up with Temperature Problems
        5. Adding up Natural Numbers
        6. Going the Distance with the Distance Formula
        7. Getting the Inside Scoop with Sums of Interior Angles
        8. Averaging Out the Numbers
        9. Summing the Squares of Numbers
        10. Finding the Terms of a Sequence
        11. Adding the Terms in an Arithmetic Sequence
        12. Using the Formula for the Sum of Cubes
        13. Compounding the Problems Involving Compound Interest
      19. Chapter 19: Using Formulas in Geometric Story Problems
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Working around the Perimeter of Rectangles
        4. Using the Area Formula for a Trapezoid
        5. Tackling Area and Perimeter of a Square
        6. Solving Problems Using the Perimeter of a Triangle
        7. Working with the Area and Perimeter of a Rectangle
        8. Using the Formula for the Area of a Hexagon
        9. Getting Pythagoras Involved in the Area of a Triangle
        10. Making Use of the Volume of a Box
        11. Working with the Volume of a Cylinder
        12. Changing Radians to Degrees and Degrees to Radians
        13. Determining the Height of an Object
        14. Working with Heron's Formula for the Area of a Triangle
      20. Chapter 20: Tackling Traditional Story Problems
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Tackling Age Problems
        4. Working with Consecutive Integers
        5. Getting the Job Done on Work Problems
        6. Counting on Quality and Quantity Problems
        7. Solving Money Problems
      21. Chapter 21: Graphing Basics
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Plotting Points on the Coordinate System
        4. Determining the Quadrant of a Point
        5. Finding the Intercepts of a Line
        6. Calculating the slope of a line from two points
        7. Determining a Line's Slope from Its Equation
        8. Sketching the Graph of a Line from Its Equation
        9. Sketching Lines Using Two Points
      22. Chapter 22: Using the Algebra of Lines
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Writing Equations of Lines Using the Slope and a Point
        4. Writing the Equation of a Line Using Two Points
        5. Dealing with Slopes of Parallel and Perpendicular Lines
        6. Finding Equations of Lines Parallel or Perpendicular to One Given
        7. Computing the Distance Between Points
        8. Determining the Midpoint
      23. Chapter 23: Other Graphing Topics
        1. The Problems You'll Work On
        2. What to Watch Out For
        3. Graphing to Find the Intersection of Two Lines
        4. Sketching the Graph of a Circle
        5. Creating the Graph of a Parabola
        6. Transforming the Graph of a Figure
    10. Part II: The Answers
      1. Chapter 24: Answers
    11. Index