Book description
To succeed in Algebra II, start practicing now
Algebra II builds on your Algebra I skills to prepare you for trigonometry, calculus, and a of myriad STEM topics. Working through practice problems helps students better ingest and retain lesson content, creating a solid foundation to build on for future success.
Algebra II Workbook For Dummies, 2nd Edition helps you learn Algebra II by doing Algebra II. Author and math professor Mary Jane Sterling walks you through the entire course, showing you how to approach and solve the problems you encounter in class. You'll begin by refreshing your Algebra I skills, because you'll need a strong foundation to build upon. From there, you'll work through practice problems to clarify concepts and improve understanding and retention.
Revisit quadratic equations, inequalities, radicals, and basic graphs
Master quadratic, exponential, and logarithmic functions
Tackle conic sections, as well as linear and nonlinear systems
Grasp the concepts of matrices, sequences, and imaginary numbers
Algebra II Workbook For Dummies, 2nd Edition includes sections on graphing and special sequences to familiarize you with the key concepts that will follow you to trigonometry and beyond. Don't waste any time getting started. Algebra II Workbook For Dummies, 2nd Edition is your complete guide to success.
Table of contents
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- Introduction
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Part I: Getting Started with Algebra II
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Chapter 1: Going Beyond Beginning Algebra
- Good Citizenship: Following the Order of Operations and Other Properties
- Specializing in Products and FOIL
- Variables on the Side: Solving Linear Equations
- Dealing with Linear Absolute Value Equations
- Greater Math Skills: Equalizing Linear Inequalities
- Answers to Problems on Going Beyond Beginning Algebra
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Chapter 2: Handling Quadratic (and Quadratic-Like) Equations and Inequalities
- Finding Reasonable Solutions with Radicals
- UnFOILed Again! Successfully Factoring for Solutions
- Your Bag of Tricks: Factoring Multiple Ways
- Keeping Your Act Together: Factoring by Grouping
- Resorting to the Quadratic Formula
- Solving Quadratics by Completing the Square
- Working with Quadratic-Like Equations
- Checking Out Quadratic Inequalities
- Answers to Problems on Quadratic (and Quadratic-Like) Equations and Inequalities
- Chapter 3: Rooting Out the Rational, the Radical, and the Negative
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Chapter 4: Graphing for the Good Life
- Coordinating Axes, Coordinates of Points, and Quadrants
- Crossing the Line: Using Intercepts and Symmetry to Graph
- Graphing Lines Using Slope-Intercept and Standard Forms
- Graphing Basic Polynomial Curves
- Grappling with Radical and Absolute Value Functions
- Enter the Machines: Using a Graphing Calculator
- Answers to Problems on Graphing for the Good Life
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Chapter 1: Going Beyond Beginning Algebra
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Part II: Functions
- Chapter 5: Formulating Functions
- Chapter 6: Specializing in Quadratic Functions
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Chapter 7: Plugging In Polynomials
- Finding Basic Polynomial Intercepts
- Digging Up More-Difficult Polynomial Roots with Factoring
- Determining Where a Function Is Positive or Negative
- Graphing Polynomials
- Possible Roots and Where to Find Them: The Rational Root Theorem and Descartes’s Rule
- Getting Real Results with Synthetic Division and the Remainder Theorem
- Connecting the Factor Theorem with a Polynomial’s Roots
- Answers to Problems on Plugging In Polynomials
- Chapter 8: Acting Rationally with Functions
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Chapter 9: Exposing Exponential and Logarithmic Functions
- Evaluating e-Expressions and Powers of e
- Solving Exponential Equations
- Making Cents: Applying Compound Interest and Continuous Compounding
- Checking Out the Properties of Logarithms
- Presto-Chango: Expanding and Contracting Expressions with Log Functions
- Solving Logarithmic Equations
- They Ought to Be in Pictures: Graphing Exponential and Logarithmic Functions
- Answers to Problems on Exponential and Logarithmic Functions
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Part III: Conics and Systems of Equations
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Chapter 10: Any Way You Slice It: Conic Sections
- Putting Equations of Parabolas in Standard Form
- Shaping Up: Determining the Focus and Directrix of a Parabola
- Back to the Drawing Board: Sketching Parabolas
- Writing the Equations of Circles and Ellipses in Standard Form
- Determining Foci and Vertices of Ellipses
- Rounding Out Your Sketches: Circles and Ellipses
- Hyperbola: Standard Equations and Foci
- Determining the Asymptotes and Intercepts of Hyperbolas
- Sketching the Hyperbola
- Answers to Problems on Conic Sections
- Chapter 11: Solving Systems of Linear Equations
- Chapter 12: Solving Systems of Nonlinear Equations and Inequalities
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Chapter 10: Any Way You Slice It: Conic Sections
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Part IV: Other Good Stuff: Lists, Arrays, and Imaginary Numbers
- Chapter 13: Getting More Complex with Imaginary Numbers
- Chapter 14: Getting Squared Away with Matrices
- Chapter 15: Going Out of Sequence with Sequences and Series
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Chapter 16: Everything You Ever Wanted to Know about Sets and Counting
- Writing the Elements of a Set from Rules or Patterns
- Get Together: Combining Sets with Unions, Intersections, and Complements
- Multiplication Countdowns: Simplifying Factorial Expressions
- Checking Your Options: Using the Multiplication Property
- Counting on Permutations When Order Matters
- Mixing It Up with Combinations
- Raising Binomials to Powers: Investigating the Binomial Theorem
- Answers to Problems on Sets and Counting
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Part V: The Part of Tens
- Chapter 17: Ten Basic Graphs
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Chapter 18: Ten Special Sequences and Their Sums
- Adding As Easy As One, Two, Three
- Summing Up the Squares
- Finding the Sum of the Cubes
- Not Being at Odds with Summing Odd Numbers
- Evening Things Out by Adding Up Even Numbers
- Adding Everything Arithmetic
- Geometrically Speaking
- Easing into a Sum for e
- Signing In on the Sine
- Powering Up on Powers of 2
- Adding Up Fractions with Multiples for Denominators
- About the Author
- Cheat Sheet
- More Dummies Products
Product information
- Title: Algebra II Workbook For Dummies, 2nd Edition
- Author(s):
- Release date: May 2014
- Publisher(s): For Dummies
- ISBN: 9781118867037
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