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Book Description

Algebra II For Dummies, 2nd Edition (9781119543145) was previously published as Algebra II For Dummies, 2nd Edition (9781119090625). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.

  

Your complete guide to acing Algebra II 

Do quadratic equations make you queasy? Does the mere thought of logarithms make you feel lethargic? You're not alone! Algebra can induce anxiety in the best of us, especially for the masses that have never counted math as their forte. But here's the good news: you no longer have to suffer through statistics, sequences, and series alone. Algebra II For Dummies takes the fear out of this math course and gives you easy-to-follow, friendly guidance on everything you'll encounter in the classroom and arms you with the skills and confidence you need to score high at exam time.

Gone are the days that Algebra II is a subject that only the serious 'math' students need to worry about. Now, as the concepts and material covered in a typical Algebra II course are consistently popping up on standardized tests like the SAT and ACT, the demand for advanced guidance on this subject has never been more urgent. Thankfully, this new edition of Algebra II For Dummies answers the call with a friendly and accessible approach to this often-intimidating subject, offering you a closer look at exponentials, graphing inequalities, and other topics in a way you can understand. 

  • Examine exponentials like a pro
  • Find out how to graph inequalities
  • Go beyond your Algebra I knowledge
  • Ace your Algebra II exams with ease

Whether you're looking to increase your score on a standardized test or simply succeed in your Algebra II course, this friendly guide makes it possible.

 

Table of Contents

  1. Cover
  2. Introduction
    1. About This Book
    2. Foolish Assumptions
    3. Icons Used in This Book
    4. Beyond the Book
    5. Where to Go from Here
  3. Part 1: Homing in on Basic Solutions
    1. Chapter 1: Going Beyond Beginning Algebra
      1. Outlining Algebraic Properties
      2. Ordering Your Operations
      3. Zeroing in on the Multiplication Property of Zero
      4. Expounding on Exponential Rules
      5. Implementing Factoring Techniques
    2. Chapter 2: Toeing the Straight Line: Linear Equations
      1. Linear Equations: Handling the First Degree
      2. Linear Inequalities: Algebraic Relationship Therapy
      3. Absolute Value: Keeping Everything in Line
    3. Chapter 3: Conquering Quadratic Equations
      1. Implementing the Square Root Rule
      2. Dismantling Quadratic Equations into Factors
      3. Resorting to the Quadratic Formula
      4. Completing the Square: Warming Up for Conics
      5. Tackling Higher-Powered Polynomials
      6. Solving Quadratic Inequalities
    4. Chapter 4: Rooting Out the Rational, Radical, and Negative
      1. Acting Rationally with Fraction-Filled Equations
      2. Ridding Yourself of a Radical
      3. Changing Negative Attitudes about Exponents
      4. Fooling Around with Fractional Exponents
    5. Chapter 5: Graphing Your Way to the Good Life
      1. Coordinating Your Graphing Efforts
      2. Streamlining the Graphing Process with Intercepts and Symmetry
      3. Graphing Lines
      4. Looking at 10 Basic Forms
      5. Solving Problems with a Graphing Calculator
  4. Part 2: Facing Off with Functions
    1. Chapter 6: Formulating Function Facts
      1. Defining Functions
      2. Homing In on Domain and Range
      3. Betting on Even or Odd Functions
      4. Facing One-to-One Confrontations
      5. Going to Pieces with Piecewise Functions
      6. Composing Yourself and Functions
      7. Singing Along with Inverse Functions
    2. Chapter 7: Sketching and Interpreting Quadratic Functions
      1. Interpreting the Standard Form of Quadratics
      2. Investigating Intercepts in Quadratics
      3. Going to the Extreme: Finding the Vertex
      4. Lining Up along the Axis of Symmetry
      5. Sketching a Graph from the Available Information
      6. Applying Quadratics to the Real World
    3. Chapter 8: Staying Ahead of the Curves: Polynomials
      1. Taking a Look at the Standard Polynomial Form
      2. Exploring Polynomial Intercepts and Turning Points
      3. Determining Positive and Negative Intervals
      4. Finding the Roots of a Polynomial
      5. Synthesizing Root Findings
    4. Chapter 9: Reasoning with Rational Functions
      1. Exploring Rational Functions
      2. Adding Asymptotes to the Rational Pot
      3. Accounting for Removable Discontinuities
      4. Pushing the Limits of Rational Functions
      5. Putting It All Together: Sketching Rational Graphs from Clues
    5. Chapter 10: Exposing Exponential and Logarithmic Functions
      1. Evaluating Exponential Expressions
      2. Exponential Functions: It’s All about the Base, Baby
      3. Solving Exponential Equations
      4. Showing an “Interest” in Exponential Functions
      5. Logging On to Logarithmic Functions
      6. Solving Logarithmic Equations
      7. Graphing Exponential and Logarithmic Functions
  5. Part 3: Conquering Conics and Systems of Equations
    1. Chapter 11: Cutting Up Conic Sections
      1. Cutting Up a Cone
      2. Opening Every Which Way with Parabolas
      3. Going Round and Round in Conic Circles
      4. Preparing Your Eyes for Solar Ellipses
      5. Feeling Hyper about Hyperbolas
      6. Identifying Conics from Their Equations, Standard or Not
    2. Chapter 12: Solving Systems of Linear Equations
      1. Looking at the Standard Linear-Systems Form and Its Possible Solutions
      2. Graphing Solutions of Linear Systems
      3. Solving Systems of Two Linear Equations by Using Elimination
      4. Making Substitution the Choice
      5. Using Cramer’s Rule to Defeat Unwieldy Fractions
      6. Tackling Linear Systems with Three Linear Equations
      7. Upping the Ante with Larger Systems
      8. Applying Linear Systems to Our 3-D World
      9. Using Systems to Decompose Fractions
    3. Chapter 13: Solving Systems of Nonlinear Equations and Inequalities
      1. Crossing Parabolas with Lines
      2. Intertwining Parabolas and Circles
      3. Planning Your Attack on Other Systems of Equations
      4. Playing Fair with Inequalities
  6. Part 4: Shifting into High Gear with Advanced Concepts
    1. Chapter 14: Simplifying Complex Numbers in a Complex World
      1. Using Your Imagination to Simplify Powers of i
      2. Understanding the Complexity of Complex Numbers
      3. Solving Quadratic Equations with Complex Solutions
      4. Working Polynomials with Complex Solutions
    2. Chapter 15: Making Moves with Matrices
      1. Describing the Different Types of Matrices
      2. Performing Operations on Matrices
      3. Defining Row Operations
      4. Finding Inverse Matrices
      5. Dividing Matrices by Using Inverses
      6. Using Matrices to Find Solutions for Systems of Equations
    3. Chapter 16: Making a List: Sequences and Series
      1. Understanding Sequence Terminology
      2. Taking Note of Arithmetic and Geometric Sequences
      3. Recursively Defining Functions
      4. Making a Series of Moves
      5. Applying Sums of Sequences to the Real World
      6. Highlighting Special Formulas
    4. Chapter 17: Everything You Wanted to Know about Sets
      1. Revealing Set Notation
      2. Operating on Sets
      3. Drawing Venn You Feel Like It
      4. Focusing on Factorials
      5. How Do I Love Thee? Let Me Count Up the Ways
      6. Branching Out with Tree Diagrams
  7. Part 5: The Part of Tens
    1. Chapter 18: Ten Multiplication Tricks
      1. Squaring Numbers That End in 5
      2. Finding the Next Perfect Square
      3. Recognizing the Pattern in Multiples of 9 and 11
      4. Casting Out 9s
      5. Casting Out 9s: The Multiplication Moves
      6. Multiplying by 11
      7. Multiplying by 5
      8. Finding Common Denominators
      9. Determining Divisors
      10. Multiplying Two-Digit Numbers
    2. Chapter 19: Ten Special Types of Numbers
      1. Triangular Numbers
      2. Square Numbers
      3. Hexagonal Numbers
      4. Perfect Numbers
      5. Amicable Numbers
      6. Happy Numbers
      7. Abundant Numbers
      8. Deficient Numbers
      9. Narcissistic Numbers
      10. Prime Numbers
  8. Index
  9. About the Author
  10. Connect with Dummies
  11. End User License Agreement
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