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Book Description

Algebra II Essentials For Dummies (9781119590873) was previously published as Algebra II Essentials For Dummies (9780470618400). 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.

Passing grades in two years of algebra courses are required for high school graduation. Algebra II Essentials For Dummies covers key ideas from typical second-year Algebra coursework to help students get up to speed. Free of ramp-up material, Algebra II Essentials For Dummies sticks to the point, with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical Algebra II course, from polynomials, conics, and systems of equations to rational, exponential, and logarithmic functions. This guide is also a perfect reference for parents who need to review critical algebra concepts as they help students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts.

The Essentials For Dummies Series
Dummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.

Table of Contents

  1. Cover
  2. Introduction
    1. About This Book
    2. Conventions Used in This Book
    3. Foolish Assumptions
    4. Icons Used in This Book
    5. Where to Go from Here
  3. Chapter 1: Making Advances in Algebra
    1. Bringing Out the Best in Algebraic Properties
    2. Enumerating Exponential Rules
    3. Assigning Factoring Techniques
  4. Chapter 2: Lining Up Linear Equations
    1. Getting the First Degree: Linear Equations
    2. Lining Up Linear Inequalities
    3. Absolute Value: Keeping Everything in Line
  5. Chapter 3: Making Quick Work of Quadratic Equations
    1. Using the Square Root Rule When Possible
    2. Solving Quadratic Equations by Factoring
    3. The Quadratic Formula to the Rescue
    4. Promoting Quadratic-like Equations
    5. Solving Quadratic Inequalities
  6. Chapter 4: Rolling Along with Rational and Radical Equations
    1. Rounding Up Rational Equations and Eliminating Fractions
    2. Reasoning with Radicals
    3. Dealing with Negative Exponents
    4. Fiddling with Fractional Exponents
  7. Chapter 5: Forging Function Facts
    1. Describing Function Characteristics
    2. Determining Domain and Range
    3. Counting on Even and Odd Functions
    4. Taking on Functions One-to-One
    5. Composing Functions
    6. Getting into Inverse Functions
  8. Chapter 6: Graphing Linear and Quadratic Functions
    1. Identifying Some Graphing Techniques
    2. Mastering the Graphs of Lines
    3. Coming to Terms with the Standard Form of a Quadratic
    4. Eyeing a Quadratic’s Intercepts
    5. Finding the Vertex of a Parabola
    6. Sketching a Graph from the Available Information
  9. Chapter 7: Pondering Polynomials
    1. Sizing Up a Polynomial Equation
    2. Identifying Intercepts and Turning Points
    3. Determining When a Polynomial Is Positive or Negative
    4. Solving Polynomial Equations
    5. Finding Roots Synthetically
  10. Chapter 8: Being Respectful of Rational Functions
    1. Examining Rational Functions
    2. Assigning Roles to Asymptotes
    3. Discounting Removable Discontinuities
    4. Looking at Limits of Rational Functions
  11. Chapter 9: Examining Exponential and Logarithmic Functions
    1. Computing Exponentially
    2. Getting to the Base of Exponential Functions
    3. Exponential Equation Solutions
    4. Looking into Logarithmic Functions
    5. Solving Equations Containing Logs
  12. Chapter 10: Getting Creative with Conics
    1. Posing with Parabolas
    2. Circling around a Conic
    3. Getting Eclipsed by Ellipses
    4. Getting Hyped for Hyperbolas
  13. Chapter 11: Solving Systems of Equations
    1. Looking at Solutions Using the Standard Linear-Systems Form
    2. Solving Linear Systems by Graphing
    3. Using Elimination (Addition) to Solve Systems of Equations
    4. Finding Substitution to Be a Satisfactory Substitute
    5. Taking on Systems of Three Linear Equations
    6. Increasing the Number of Equations
    7. Intersecting Parabolas and Lines
    8. Crossing Parabolas with Circles
  14. Chapter 12: Taking the Complexity Out of Complex Numbers
    1. Simplifying Powers of i
    2. Getting More Complex with Complex Numbers
    3. Unraveling Complex Solutions in Quadratic Equations
    4. Investigating Polynomials with Complex Roots
  15. Chapter 13: Ten (or So) Special Formulas
    1. Using Multiplication to Add
    2. Factoring in Factorial
    3. Picking Out Permutations
    4. Collecting Combinations
    5. Adding n Integers
    6. Adding n Squared Integers
    7. Adding Odd Numbers
    8. Going for the Geometric
    9. Calculating Compound Interest
  16. Index
  17. About the Author
  18. Advertisement Page
  19. Connect with Dummies
  20. End User License Agreement
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