Algebra II All-in-One For Dummies E-Book

Mary Jane Sterling

• Herausgeber: John Wiley & Sons
• Kategorie: Wissenschaft und neue Technologien
• Sprache: Englisch
• Veröffentlichungsjahr: 2022

Seitenzahl: 784

Beschreibung

Every intermediate algebra lesson, example, and practice problem you need in a single, easy-to-use reference Algebra II can be a tough nut to crack when you first meet it. But with the right tools...well, she's still tough but she gets a heckuva lot easier to manage. In Algebra II All-in-One For Dummies you'll find your very own step-by-step roadmap to solving even the most challenging Algebra II problems, from conics and systems of equations to exponential and logarithmic functions. In the book, you'll discover the ins and outs of function transformation and evaluation, work out your brain with complex and imaginary numbers, and apply formulas from statistics and probability theory. You'll also find: * Accessible and practical lessons and practice for second year high-school or university algebra students * End-of-chapter quizzes that help you learn - and remember! - key algebraic concepts, such as quadratic equations, graphing techniques, and matrices * One-year access to additional chapter quizzes online, where you can track your progress and get real-time feedback! Your own personal mathematical toolbox for some of the most useful and foundational math you'll learn in school, this Algebra II All-in-One For Dummies combines hands-on techniques, methods, and strategies from a variety of sources into one, can't-miss reference. You'll get the insights, formulas, and practice you need, all in a single book (with additional quizzes online!) that's ideal for students and lifelong learners alike!

Leseprobe

Algebra II All-in-One For Dummies®

Published by: John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030-5774, www.wiley.com

Copyright © 2022 by John Wiley & Sons, Inc., Hoboken, New Jersey

Published simultaneously in Canada

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Library of Congress Control Number: 2022940643

ISBN 978-1-119-89626-5 (pbk); ISBN 978-1-119-89627-2 (ebk); ISBN 978-1-119-89628-9 (ebk)

Algebra II All-in-One For Dummies®

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Table of Contents

Cover

Title Page

Copyright

Introduction

About This Book

Foolish Assumptions

Icons Used in This Book

Beyond the Book

Where to Go from Here

Part 1: Getting to First Base with the Basics

Chapter 1: Beginning at the Beginning of Algebra

Following the Order of Operations and Other Properties

Specializing in Products and “FOIL”

Expounding on Exponential Rules

Taking On Special Operators

Simplifying Radical Expressions

Factoring in Some Factoring Techniques

Practice Questions Answers and Explanations

Whaddya Know? Chapter 1 Quiz

Answers to Chapter 1 Quiz

Chapter 2: Taking on Linear Equations and Inequalities

Variables on the Side: Solving Linear Equations

Making Fractional Terms More Manageable

Solving for a Variable

Making Linear Inequalities More Equitable

Compounding the Situation with Compound Statements

Dealing with Linear Absolute Value Equations and Inequalities

Practice Questions Answers and Explanations

Whaddya Know? Chapter 2 Quiz

Answers to Chapter 2 Quiz

Chapter 3: Handling Quadratic and Other Polynomial Equations

Implementing the Square Root Rule

Successfully Factoring for Solutions

Resorting to the Quadratic Formula

Solving Quadratics by Completing the Square

Tackling Higher-Powered Polynomials

Using the Rational Root Theorem and Synthetic Division

Practice Questions Answers and Explanations

Whaddya Know? Chapter 3 Quiz

Answers to Chapter 3 Quiz

Chapter 4: Controlling Quadratic and Rational Inequalities

Checking Out Quadratic Inequalities

Compounding the Situation with Compound Inequalities

Solving Inequality Word Problems

Practice Questions Answers and Explanations

Whaddya Know? Chapter 4 Quiz

Answers to Chapter 4 Quiz

Chapter 5: Soothing the Rational, the Radical, and the Negative

Systematically Solving Rational Equations

Simplifying and Solving Proportions

Ridding Yourself of a Radical

Changing Negative Attitudes toward Negative Exponents

Solving Equations with Fractional Exponents

Practice Questions Answers and Explanations

Whaddya Know? Chapter 5 Quiz

Answers to Chapter 5 Quiz

Chapter 6: Giving Graphing a Gander

Coordinating Axes, Points, and Quadrants

Crossing the Line Using Intercepts and Symmetry

Preparing to Graph Lines

Identifying Parallel and Perpendicular Lines

Graphing the Ten Basic Forms

Enter the Machines: Using a Graphing Calculator

Practice Questions Answers and Explanations

Whaddya Know? Chapter 6 Quiz

Answers to Chapter 6 Quiz

Part 2: Figuring on Functions

Chapter 7: Formulating Functions

Featuring Functions

Homing In on Domain and Range

Recognizing Even, Odd, and One-to-One Functions

Going to Pieces with Piecewise Functions

Composing Functions and Applying the Difference Quotient

Dealing with Inverse Functions

Practice Questions Answers and Explanations

Whaddya Know? Chapter 7 Quiz

Answers to Chapter 7 Quiz

Chapter 8: Specializing in Quadratic Functions

Setting the Standard to Create a Parabola

Recognizing the Intercepts and Vertex

Making Symmetry Work with an Axis

Graphing Parabolas

Applying Quadratics in Real-Life Situations

Practice Questions Answers and Explanations

Whaddya Know? Chapter 8 Quiz

Answers to Chapter 8 Quiz

Chapter 9: Plugging In Polynomials

Getting into Polynomial Basics and Vocabulary

Solving for Polynomial Intercepts

Finding the Roots of a Polynomial

Saving Your Sanity: The Rational Root Theorem

Synthesizing Root Findings

Determining Positive and Negative Intervals

Graphing Polynomials

Practice Questions Answers and Explanations

Whaddya Know? Chapter 9 Quiz

Answers to Chapter 9 Quiz

Chapter 10: Acting Rationally with Functions

Exploring the Domain and Intercepts of Rational Functions

Adding Asymptotes to the Rational Pot

Removing Discontinuities

Going the Limit: Limits at a Number and Infinity

Graphing Rational Functions

Practice Questions Answers and Explanations

Whaddya Know? Chapter 10 Quiz

Answers to Chapter 10 Quiz

Chapter 11: Exploring Exponential and Logarithmic Functions

Evaluating

e

-Expressions and Powers of

e

Solving Exponential Equations

Making Cents: Applying Compound Interest

Logging On to Logarithmic Functions

Solving Logarithmic Equations

Graphing Exponential and Logarithmic Functions

Practice Questions Answers and Explanations

Whaddya Know? Chapter 11 Quiz

Answers to Chapter 11 Quiz

Chapter 12: Transforming and Critiquing Functions

Running through the Transformations

Scaling the Cliff of Numerical Possibilities

Multiplying the Opportunities for Transforming

Noting the Ups, Downs, Highs, and Lows

Practice Questions Answers and Explanations

Whaddya Know? Chapter 12 Quiz

Answers to Chapter 12 Quiz

Part 3: Using Conics and Systems of Equations

Chapter 13: Slicing the Way You Like It: Conic Sections

Carefully Cutting Circular Cones

Opening Every Which Way with Parabolas

Going Round and Round in Circles

Preparing for Solar Ellipses

Getting Hyper Excited about Hyperbolas

Identifying Conics from Their Equations

Practice Questions Answers and Explanations

Whaddya Know? Chapter 13 Quiz

Answers to Chapter 13 Quiz

Chapter 14: Solving Systems of Linear Equations

Looking at the Standard Linear-Systems Form

Solving Systems of Two Linear Equations by Using Elimination

Making Substitution the Choice

Graphing Solutions of Linear Systems

Using Cramer’s Rule to Defeat Unwieldy Fractions

Tackling Linear Systems with Three Linear Equations

Upping the Ante with Larger Systems

Practice Questions Answers and Explanations

Whaddya Know? Chapter 14 Quiz

Answers to Chapter 14 Quiz

Chapter 15: Solving Systems of Nonlinear Equations

Crossing Parabolas with Lines

Intertwining Parabolas and Circles

Planning Your Attack on Other Systems of Equations

Navigating Exponential Intersections

Rounding Up Rational Functions

Practice Questions Answers and Explanations

Whaddya Know? Chapter 15 Quiz

Answers to Chapter 15 Quiz

Chapter 16: Solving Systems of Inequalities

Playing Fair with Inequalities

Keeping It Linear with Inequalities

Applying the Systems to Real Life

Practice Questions Answers and Explanations

Whaddya Know? Chapter 16 Quiz

Answers to Chapter 16 Quiz

Part 4: Making Lists and Checking for Imaginary Numbers

Chapter 17: Getting More Complex with Imaginary Numbers

Simplifying Powers of

i

Solving Quadratic Equations with Complex Solutions

Working Polynomials with Complex Solutions

Practice Questions Answers and Explanations

Whaddya Know? Chapter 17 Quiz

Answers to Chapter 17 Quiz

Chapter 18: Making Moves with Matrices

Describing the Different Types of Matrices

Performing Operations on Matrices

Defining Row Operations

Finding Inverse Matrices

Dividing Matrices by Using Inverses

Using Matrices to Find Solutions for Systems of Equations

Practice Questions Answers and Explanations

Whaddya Know? Chapter 18 Quiz

Answers to Chapter 18 Quiz

Chapter 19: Seeking Out Sequences and Series

Understanding Sequence Terminology

Taking Note of Arithmetic and Geometric Sequences

Recursively Defining Functions

Making a Series of Moves

Highlighting Special Formulas

Practice Questions Answers and Explanations

Whaddya Know? Chapter 19 Quiz

Answers to Chapter 19 Quiz

Chapter 20: Everything You Wanted to Know about Sets and Counting

Revealing the Set Rules

Operating on Sets

Drawing Venn You Feel Like It

Focusing on Factorials

How Do I Love Thee? Let Me Count Up the Ways

Branching Out with Tree Diagrams

Practice Questions Answers and Explanations

Whaddya Know? Chapter 20 Quiz

Answers to Chapter 20 Quiz

Part 5: Applying Known Formulas

Chapter 21: Manipulating Formulas

Expanding Binomials

Taking On the Graphing Formulas

Getting All Geometric

Solving a Formula for a Variable

Practice Questions Answers and Explanations

Whaddya Know? Chapter 21 Quiz

Answers to Chapter 21 Quiz

Chapter 22: Taking on Applications

Making Mixtures Magically Mathematical

Going the Distance

Working through the Challenges

Acting Your Age

Practice Questions Answers and Explanations

Whaddya Know? Chapter 22 Quiz

Answers to Chapter 22 Quiz

Index

About the Author

Connect with Dummies

End User License Agreement

List of Tables

Chapter 10

TABLE 10-1 Approaching

from Both Sides in

TABLE 10-2 Approaching

from Both Sides in

TABLE 10-3 Approaching

from Both Sides in

TABLE 10-4 Approaching

from Both Sides in

Chapter 11

TABLE 11-1 Compounding a Nominal 4 Percent Interest Rate

TABLE 11-2 Properties of Logarithms

TABLE 11-3 Properties of Natural Logarithms

List of Illustrations

Chapter 6

FIGURE 6-1: Identifying all the players in the coordinate plane.

FIGURE 6-2: Connecting the points in order creates a picture.

FIGURE 6-3: Creating a set of points to fit the graph of an equation.

FIGURE 6-4: Plotting the intercepts and calculated points on a graph to get th...

FIGURE 6-5: Symmetry in a graph makes for a pretty picture.

FIGURE 6-6: A graph’s reflection over a vertical line.

FIGURE 6-7: A graph’s reflection over a horizontal line.

FIGURE 6-8: A graph revolving 180 degrees about the origin of the coordinate p...

FIGURE 6-9: Graphing

, a line written in standard form, using its intercepts.

FIGURE 6-10: A line with a slope of 2 is fairly steep.

FIGURE 6-11: Parallel lines have equal slopes, and perpendicular lines have sl...

FIGURE 6-12: Graphs of a steep line and an upward-facing quadratic.

FIGURE 6-13: Graphs of an S-shaped cubic and a W-shaped quartic.

FIGURE 6-14: Graphs of radicals often have abrupt stops, and graphs of rationa...

FIGURE 6-15: The graph of the exponential faces upward, and the graph of the l...

FIGURE 6-16: Graphs of absolute values have distinctive V-shapes, and graphs o...

FIGURE 6-17: Equations entered in the

y

-menu of a graphing calculator.

FIGURE 6-18: Radicals can be represented by fractional exponents.

Chapter 7

FIGURE 7-1: Try graphing equations that don’t have an obvious range.

FIGURE 7-2: Graphs of an even and an odd function.

FIGURE 7-3: A function passes the vertical line test, but a non-function inevit...

FIGURE 7-4: The horizontal line test weeds out one-to-one functions from violat...

FIGURE 7-5: Graphing piecewise functions shows you both connections and gaps.

Chapter 8

FIGURE 8-1: Parabolas opening up and down, appearing steep and flat.

FIGURE 8-2: Graphs of

and

FIGURE 8-3: A company can determine its profit with a quadratic equation.

FIGURE 8-4: Parabolas can intercept the

x

-axis two times, a single time, or not...

FIGURE 8-5: Points resting on the same horizontal line and equidistant from the...

FIGURE 8-6: Using the various pieces of a quadratic as steps for sketching a pa...

FIGURE 8-7: Using intercepts and the vertex to sketch a parabola.

FIGURE 8-8: The downs and ups of shooting baskets.

FIGURE 8-9: Launching a water balloon over a tree requires more math than you t...

Chapter 9

FIGURE 9-1: Extreme points on a polynomial.

FIGURE 9-2: The intercept and turning point behavior of two polynomial function...

FIGURE 9-3: A polynomial’s highest power provides information on the

most-possi

...

FIGURE 9-4: Comparing graphs of polynomials that have differing sign behaviors.

FIGURE 9-5: The powers of a polynomial determine whether the curve crosses the

Chapter 10

FIGURE 10-1: Rational functions approaching vertical and horizontal asymptotes.

FIGURE 10-2: Rational functions curving between vertical asymptotes.

FIGURE 10-3: Graphs between vertical and oblique asymptotes.

FIGURE 10-4: A removable discontinuity at the coordinate (3,0.2).

FIGURE 10-5: Following the steps to graph a rational function.

FIGURE 10-6: Graphing a rational function with two vertical asymptotes.

Chapter 11

FIGURE 11-1: Exponential graphs rise away from the

x

-axis or fall toward the

x

-...

FIGURE 11-2: The graph of the exponential function

.

FIGURE 11-3: The graph of the exponential function

.

FIGURE 11-4: Logarithmic functions rise or fall, breaking away from the asympto...

FIGURE 11-5: With a log base of 2 or 3, the curve of the function rises.

FIGURE 11-6: Graphing inverse curves over the line

.

FIGURE 11-7: Using an exponential function as an inverse to graph a log functio...

Chapter 12

FIGURE 12-1: Performing translations of the form

and

.

FIGURE 12-2: Performing translations of the form

and

.

FIGURE 12-3: Reflecting the function

over the

y-

and

x

-axes.

FIGURE 12-4: Creating steeper and flatter graphs.

FIGURE 12-5: Increasing and decreasing intervals in a graph.

FIGURE 12-6: Increasing and decreasing around maximum and minimum points.

Chapter 13

FIGURE 13-1: The four conic sections.

FIGURE 13-2: Points on a parabola are the same distance away from a fixed point...

FIGURE 13-3: The parabola

with all its features on display.

FIGURE 13-4: A narrow parabola that opens downward.

FIGURE 13-5: A parabola sketched from points and lines deduced from the standar...

FIGURE 13-6: The suspended cable on this bridge resembles a parabola.

FIGURE 13-7: All the points in a circle are the same distance from (

h,k

).

FIGURE 13-8: With the center, radius, and a compass, you too can sketch this ci...

FIGURE 13-9: The summed distances to the foci are equal for all points on an el...

FIGURE 13-10: Ellipses with their axis properties identified.

FIGURE 13-11: The foci always lie on the major axis (in this case, on the

x

-axi...

FIGURE 13-12: A whispering gallery is long and narrow.

FIGURE 13-13: The curves of hyperbolas face away from one another.

FIGURE 13-14: The asymptotes and vertices help you sketch the hyperbola.

FIGURE 13-15: Drawing a rectangle before drawing the hyperbola will help you s...

FIGURE 13-16: The hyperbola takes its shape with the asymptotes in place.

Chapter 14

FIGURE 14-1: Two lines from a linear system crossing at a single point.

FIGURE 14-2: Parallel lines in a linear system of equations never intersect.

Chapter 15

FIGURE 15-1: A line and a parabola sharing space on a graph.

FIGURE 15-2: You find the two points of intersection with substitution.

FIGURE 15-3: The line touches the parabola in just one place — at their point o...

FIGURE 15-4: The algebra shows that ne’er the twain shall meet.

FIGURE 15-5: A parabola and circle intersecting at four points.

FIGURE 15-6: Parabolas and circles tangling, offering up different solutions.

FIGURE 15-7: This system has only two points of intersection.

FIGURE 15-8: A line crossing the curves of a polynomial.

FIGURE 15-9: Counting the intersections of quartic and cubic polynomials.

FIGURE 15-10: A line crossing a rational function, forming two solutions.

Chapter 16

FIGURE 16-1: Two inequalities intersecting to share a portion of the plane (the...

FIGURE 16-2: Shading in solutions — one including both lines, the other includi...

FIGURE 16-3: Creating a triangular solution.

FIGURE 16-4: A parabola and line outline a solution wedge for the inequalities.

FIGURE 16-5: Selling enough tickets to make a profit.

Chapter 17

FIGURE 17-1: A parabola with no solutions because the

x

-intercepts never cross ...

FIGURE 17-2: The graph of a quadratic equation whose points stay left of the

y

-...

FIGURE 17-4: A polynomial with one real zero and several complex zeros.

FIGURE 17-3: A flattening curve indicates a complex root.

Chapter 19

FIGURE 19-1: Adding terms in a geometric sequence.

Chapter 20

FIGURE 20-1: A Venn diagram with two sets enclosed by the universal set.

FIGURE 20-2: Watch for the overlap created by combining two groups; 17 Chicagoa...

FIGURE 20-3: With a Venn diagram, you can tell how many people want a plain che...

FIGURE 20-4: Creating two-letter words (permutations) from SEAT.

FIGURE 20-5: The branches of the tree diagram get smaller as you account for al...

Chapter 22

FIGURE 22-1: Mixing apple juice in Figure a and chocolate syrup in Figure b.

FIGURE 22-2: Adding up the distances and going all Pythagorean.

Guide

Cover

Title Page

Copyright

Table of Contents

Begin Reading

Index

About the Author

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Introduction

Here you are: contemplating the study of Algebra II. You just couldn’t get enough of Algebra I? Good for you! You’re moving along and preparing yourself for more of the fun and mystery and challenge of higher mathematics.

Algebra is really the basis of most courses that you take in high school and college. You can’t do anything in calculus without a good algebra background. And there’s a lot of algebra in geometry. You even need algebra in computer science! Algebra was created, modified, and continues to be tweaked so that ideas and procedures can be shared by everyone. With all people speaking the same “language,” there are fewer misinterpretations.

What you find in this book is a glimpse into the way I teach: uncovering mysteries, working in historical perspectives, providing information, and introducing the topic of Algebra II with good-natured humor. Over the years, I’ve tried many approaches to teaching algebra, and I hope that with this book I’m helping you cope with and incorporate other teaching methods.

About This Book

Because you’re interested in this book, you probably fall into one of four categories:

You’re fresh off Algebra I and feel eager to start on this new venture.

You’ve been away from algebra for a while, but math has always been your main interest, so you don’t want to start too far back.

You’re a parent of a student embarking on or having some trouble with an Algebra II class and you want to help.

You’re just naturally curious about science and mathematics and you want to get to the good stuff that’s in Algebra II.

Whichever category you represent (and I may have missed one or two), you’ll find what you need in this book. You can find some advanced algebraic topics, but I also cover the necessary basics, too. You can also find plenty of connections — the ways different algebraic topics connect with each other and the ways that algebra connects with other areas of mathematics.

After all, many other math areas drive Algebra II. Algebra is the passport to studying calculus, trigonometry, number theory, geometry, all sorts of good mathematics, and much of science. Algebra is basic, and the algebra you find here will help you grow your skills and knowledge so you can do well in math courses and possibly pursue other math topics.

Each new topic provides:

Example problems with answers and solutions

Practice problems with answers and solutions

Each chapter provides:

An end-of-chapter quiz with problems representing the topics covered

Solutions to those quiz questions

Online quizzes are also available for even more practice and confidence-building.

Foolish Assumptions

You are reading this book to learn more about algebra, so I’m assuming that you already have some of the other basic math skills: familiarity with fractions and their operations, comfort with handling decimals and the operations involved, some experience with integers (signed whole numbers) and how they operate, and some graphing knowledge — how to place points on a graphing plane. If you don’t have as much knowledge as you’d like of some items mentioned, you may want to refer to some resources such as Algebra I All In One For Dummies, Basic Math & Pre-Algebra For Dummies, or Pre-Algebra Essentials For Dummies (John Wiley & Sons, Inc.).

My second assumption is that you’re as excited about mathematics as I am. Oh, okay, you don’t have to be that excited. But you’re interested and eager and anxious to increase your mathematical abilities. That’s the main thing you need.

Read on. Work through the book at your own pace and in the order that works for you.

Icons Used in This Book

In this book, I use these five icons to signal what’s most important along the way:

Each example is an algebra question based on the discussion and explanation, followed by a step-by-step solution. Work through these examples, and then refer to them to help you solve the practice test problems at the end of the chapter.

This icon points out important information that you need to focus on. Make sure that you understand this information fully before moving on. You can skim through these icons when reading a chapter to make sure that you remember the highlights.

Tips are hints that can help speed you along when answering a question. See whether you find them useful when working on practice problems.

This icon flags common mistakes that students make if they’re not careful. Take note and proceed with caution!

When you see this icon, it’s time to put on your thinking cap and work out a few practice problems on your own. The answers and detailed solutions are available so you can feel confident about your progress.

Beyond the Book

In addition to what you’re reading right now, this book comes with a Cheat Sheet that provides quick access to some formulas, rules, and processes that are frequently used. To get this Cheat Sheet, simply go to www.dummies.com and type Algebra II All in One For Dummies Cheat Sheet in the Search box.

You’ll also have access to online quizzes related to each chapter. These quizzes provide a whole new set of problems for practice and confidence-building. To access the quizzes, follow these simple steps:

Register your book or ebook at Dummies.com to get your PIN.

Go to

www.dummies.com/go/getaccess

.

Select your product from the drop-down list on that page.

Follow the prompts to validate your product, and then check your email for a confirmation message that includes your PIN and instructions for logging in.

If you do not receive this email within two hours, please check your spam folder before contacting us through our Technical Support website at http://support.wiley.com or by phone at 877-762-2974.

Now you’re ready to go! You can come back to the practice material as often as you want — simply log on with the username and password you created during your initial login. No need to enter the access code a second time.

Your registration is good for one year from the day you activate your PIN.

Where to Go from Here

This book is organized so that you can safely move from whichever chapter you choose to start with and in whatever order you like. You can strengthen skills you feel less confident in or work on those that need some attention.

If you haven’t worked on any algebra recently, I’d recommend that you start out with Chapter 1 and some other chapters in the first unit. It’s important to know the vocabulary and basic notation so you understand what is being presented in later chapters.

I’m so pleased that you’re willing, able, and ready to begin an investigation of Algebra II. If you’re so pumped up that you want to tackle the material cover to cover, great! But you don’t have to read the material from page 1 to page 2 and so on. You can go straight to the topic or topics you want or need, and refer to earlier material if necessary. You can also jump ahead if so inclined. I include clear cross-references in chapters that point you to the chapter or section where you can find a particular topic — especially if it’s something you need for the material you’re looking at or if it extends or furthers the discussion at hand.

You can use the table of contents at the beginning of the book and the index in the back to navigate your way to the topic that you need to brush up on. Regardless of your motivation or what technique you use to jump into the book, you won’t get lost because you can go in any direction from there.

Enjoy!

Part 1

Getting to First Base with the Basics

In This Unit…

Chapter 1: Beginning at the Beginning of Algebra

Following the Order of Operations and Other Properties

Specializing in Products and “FOIL”

Expounding on Exponential Rules

Taking On Special Operators

Simplifying Radical Expressions

Factoring in Some Factoring Techniques

Practice Questions Answers and Explanations

Whaddya Know? Chapter 1 Quiz

Answers to Chapter 1 Quiz

Chapter 2: Taking on Linear Equations and Inequalities

Variables on the Side: Solving Linear Equations

Making Fractional Terms More Manageable

Solving for a Variable

Making Linear Inequalities More Equitable

Compounding the Situation with Compound Statements

Dealing with Linear Absolute Value Equations and Inequalities

Practice Questions Answers and Explanations

Whaddya Know? Chapter 2 Quiz

Answers to Chapter 2 Quiz

Chapter 3: Handling Quadratic and Other Polynomial Equations

Implementing the Square Root Rule

Successfully Factoring for Solutions

Resorting to the Quadratic Formula

Solving Quadratics by Completing the Square

Tackling Higher-Powered Polynomials

Using the Rational Root Theorem and Synthetic Division

Practice Questions Answers and Explanations

Whaddya Know? Chapter 3 Quiz

Answers to Chapter 3 Quiz

Chapter 4: Controlling Quadratic and Rational Inequalities

Checking Out Quadratic Inequalities

Compounding the Situation with Compound Inequalities

Solving Inequality Word Problems

Practice Questions Answers and Explanations

Whaddya Know? Chapter 4 Quiz

Answers to Chapter 4 Quiz

Chapter 5: Soothing the Rational, the Radical, and the Negative

Systematically Solving Rational Equations

Simplifying and Solving Proportions

Ridding Yourself of a Radical

Changing Negative Attitudes toward Negative Exponents

Solving Equations with Fractional Exponents

Practice Questions Answers and Explanations

Whaddya Know? Chapter 5 Quiz

Answers to Chapter 5 Quiz

Chapter 6: Giving Graphing a Gander

Coordinating Axes, Points, and Quadrants

Crossing the Line Using Intercepts and Symmetry

Preparing to Graph Lines

Identifying Parallel and Perpendicular Lines

Graphing the Ten Basic Forms

Enter the Machines: Using a Graphing Calculator

Practice Questions Answers and Explanations

Whaddya Know? Chapter 6 Quiz

Answers to Chapter 6 Quiz