Algebra I Essentials For Dummies

Book description

Algebra I Essentials For Dummies (9781119590965) was previously published as Algebra I Essentials For Dummies (9780470618349). 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.

With its use of multiple variables, functions, and formulas algebra can be confusing and overwhelming to learn and easy to forget. Perfect for students who need to review or reference critical concepts, Algebra I Essentials For Dummies provides content focused on key topics only, with discrete explanations of critical concepts taught in a typical Algebra I course, from functions and FOILs to quadratic and linear equations. 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
    6. Beyond the Book
  3. Chapter 1: Setting the Scene for Actions in Algebra
    1. Making Numbers Count
    2. Giving Meaning to Words and Symbols
    3. Operating with Signed Numbers
    4. Dealing with Decimals and Fractions
  4. Chapter 2: Examining Powers and Roots
    1. Expanding and Contracting with Exponents
    2. Exhibiting Exponent Products
    3. Taking Division to Exponents
    4. Taking on the Power of Zero
    5. Taking on the Negativity of Exponents
    6. Putting Powers to Work
    7. Circling around Square Roots
  5. Chapter 3: Ordering and Distributing: The Business of Algebra
    1. Taking Orders for Operations
    2. Dealing with Distributing
    3. Making Numbers and Variables Cooperate
    4. Making Distributions over More than One Term
  6. Chapter 4: Factoring in the First and Second Degrees
    1. Making Factoring Work
    2. Getting at the Basic Quadratic Expression
    3. Following Up on FOIL and unFOIL
    4. Making UnFOIL and the GCF Work Together
    5. Getting the Best of Binomials
  7. Chapter 5: Broadening the Factoring Horizon
    1. Grabbing onto Grouping
    2. Tackling Multiple Factoring Methods
    3. Knowing When Enough Is Enough
    4. Recruiting the Remainder Theorem
    5. Factoring Rational Expressions
  8. Chapter 6: Solving Linear Equations
    1. Playing by the Rules
    2. Solving Equations with Two Terms
    3. Taking on Three Terms
    4. Breaking Up the Groups
    5. Focusing on Fractions
    6. Changing Formulas by Solving for Variables
  9. Chapter 7: Tackling Second-Degree Quadratic Equations
    1. Recognizing Quadratic Equations
    2. Finding Solutions for Quadratic Equations
    3. Applying Factorizations
    4. Solving Three-Term Quadratics
    5. Applying Quadratic Solutions
    6. Calling on the Quadratic Formula
    7. Ignoring Reality with Imaginary Numbers
  10. Chapter 8: Expanding the Equation Horizon
    1. Queuing Up to Cubic Equations
    2. Using Synthetic Division
    3. Working Quadratic-Like Equations
    4. Rooting Out Radicals
  11. Chapter 9: Reconciling Inequalities
    1. Introducing Interval Notation
    2. Performing Operations on Inequalities
    3. Finding Solutions for Linear Inequalities
    4. Expanding to More than Two Expressions
    5. Taking on Quadratic and Rational Inequalities
  12. Chapter 10: Absolute-Value Equations and Inequalities
    1. Acting on Absolute-Value Equations
    2. Working Absolute-Value Inequalities
  13. Chapter 11: Making Algebra Tell a Story
    1. Making Plans to Solve Story Problems
    2. Finding Money and Interest Interesting
    3. Formulating Distance Problems
    4. Stirring Things Up with Mixtures
  14. Chapter 12: Putting Geometry into Story Problems
    1. Triangulating a Problem with the Pythagorean Theorem
    2. Being Particular about Perimeter
    3. Making Room for Area Problems
    4. Validating with Volume
  15. Chapter 13: Grappling with Graphing
    1. Preparing to Graph a Line
    2. Incorporating Intercepts
    3. Sliding the Slippery Slope
    4. Making Parallel and Perpendicular Lines Toe the Line
    5. Criss-Crossing Lines
    6. Turning the Curve with Curves
  16. Chapter 14: Ten Warning Signs of Algebraic Pitfalls
    1. Including the Middle Term
    2. Keeping Distributions Fair
    3. Creating Two Fractions from One
    4. Restructuring Radicals
    5. Including the Negative (or Not)
    6. Making Exponents Fractional
    7. Keeping Bases the Same
    8. Powering Up a Power
    9. Making Reasonable Reductions
    10. Catching All the Negative Exponents
  17. Index
  18. About the Author
  19. Advertisement Page
  20. Connect with Dummies
  21. End User License Agreement

Product information

  • Title: Algebra I Essentials For Dummies
  • Author(s): Mary Jane Sterling
  • Release date: May 2019
  • Publisher(s): For Dummies
  • ISBN: 9781119590965