Algebra II Workbook For Dummies

Name: Algebra II Workbook For Dummies
Brand: Wiley
Price: 16.99 EUR
Availability: OnlineOnly

Mary Jane Sterling(Autor*in)

Wiley (Verlag)

3. Auflage

Erschienen am 12. Dezember 2018

352 Seiten

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978-1-119-54313-8 (ISBN)

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Beschreibung

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Inhalt

Intro
Title Page
Copyright Page
Table of Contents
Introduction
About This Book
Foolish Assumptions
Icons Used in This Book
Beyond the Book
Where to Go from Here
Part 1 Getting Started with Algebra II
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
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
Doing Away with Denominators with an LCD
Simplifying and Solving Proportions
Wrangling with Radicals
Changing Negative Attitudes toward Negative Exponents
Divided Powers: Solving Equations with Fractional Exponents
Answers to Problems on Rooting Out the Rational, the Radical, and the Negative
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
Part 2 Functions
Chapter 5 Formulating Functions
Evaluating Functions
Determining the Domain and Range of a Function
Recognizing Even, Odd, and One-to-One Functions
Composing Functions and Simplifying the Difference Quotient
Solving for Inverse Functions
Answers to Problems on Formulating Functions
Chapter 6 Specializing in Quadratic Functions
Finding Intercepts and the Vertex of a Parabola
Applying Quadratics to Real-Life Situations
Graphing Parabolas
Answers to Problems on Quadratic Functions
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
Determining Domain and Intercepts of Rational Functions
Introducing Vertical and Horizontal Asymptotes
Getting a New Slant with Oblique Asymptotes
Removing Discontinuities
Going the Limit: Limits at a Number and Infinity
Graphing Rational Functions
Answers to Problems on Rational Functions
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
Part 3 Conics and Systems of Equations
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
Solving Two Linear Equations Algebraically
Using Cramer's Rule to Defeat Unruly Fractions
A Third Variable: Upping the Systems to Three Linear Equations
A Line by Any Other Name: Writing Generalized Solution Rules
Decomposing Fractions Using Systems
Answers to Problems on Systems of Equations
Chapter 12 Solving Systems of Nonlinear Equations and Inequalities
Finding the Intersections of Lines and Parabolas
Crossing Curves: Finding the Intersections of Parabolas and Circles
Appealing to a Higher Power: Dealing with Exponential Systems
Solving Systems of Inequalities
Answers to Problems on Solving Systems of Nonlinear Equations and Inequalities
Part 4 Other Good Stuff: Lists, Arrays, and Imaginary Numbers
Chapter 13 Getting More Complex with Imaginary Numbers
Simplifying Powers of i
Not Quite Brain Surgery: Doing Operations on Complex Numbers
"Dividing" Complex Numbers with a Conjugate
Solving Equations with Complex Solutions
Answers to Problems on Imaginary Numbers
Chapter 14 Getting Squared Away with Matrices
Describing Dimensions and Types of Matrices
Adding, Subtracting, and Doing Scalar Multiplication on Matrices
Trying Times: Multiplying Matrices by Each Other
The Search for Identity: Finding Inverse Matrices
Using Matrices to Solve Systems of Equations
Answers to Problems on Matrices
Chapter 15 Going Out of Sequence with Sequences and Series
Writing the Terms of a Sequence
Differences and Multipliers: Working with Special Sequences
Backtracking: Constructing Recursively Defined Sequences
Using Summation Notation
Finding Sums with Special Series
Answers to Problems on Sequences and Series
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
Part 5 The Part of Tens
Chapter 17 Basic Graphs
Putting Polynomials in Their Place
Lining Up Front and Center
Being Absolutely Sure with Absolute Value
Graphing Reciprocals of x and x2
Rooting Out Square Root and Cube Root
Growing Exponentially with a Graph
Logging In on Logarithmic Graphing
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
Index
EULA

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