Algebra II all-in-one for dummies / Mary Jane Sterling.

Format:

Book

Author/Creator:

Sterling, Mary Jane, author.

Series:

--For dummies.

For dummies

Language:

English

Subjects (All):

Algebra--Study and teaching.

Algebra.

Physical Description:

1 online resource (643 pages) : illustrations

Place of Publication:

Indianapolis, Indiana : John Wiley and Sons, [2022]

Summary:

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!.

Contents:

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 to First Base with the Basics

Chapter 1 Beginning at the Beginning of Algebra

Following the Order of Operations and Other Properties

Ordering your operations

Examining various properties

Specializing in Products and "FOIL"

First-Outer-Inner-Last

Raising binomials to powers

Expounding on Exponential Rules

Multiplying and dividing exponents

Getting to the roots of exponents

Raising or lowering the roof with exponents

Making nice with negative exponents

Taking On Special Operators

Working with absolute value

Doing great with the greatest integer function

Getting the facts with factorial

Simplifying Radical Expressions

Factoring in Some Factoring Techniques

Factoring two terms

Taking on three terms

Factoring four or more terms by grouping

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

Tackling basic linear equations

Clearing out the grouping symbols

Making Fractional Terms More Manageable

Solving for a Variable

Making Linear Inequalities More Equitable

Solving linear inequalities

Introducing interval notation

Compounding the Situation with Compound Statements

Dealing with Linear Absolute Value Equations and Inequalities

Being absolutely fair with equations

Seeing through absolute value inequality

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

Factoring binomials

Factoring trinomials

Factoring by grouping

Resorting to the Quadratic Formula

Finding rational solutions

Straightening out irrational solutions

Solving Quadratics by Completing the Square

Squaring up a quadratic equation

Completing the square twice over

Tackling Higher-Powered Polynomials

Handling the sum or difference of cubes

Solving quadratic-like trinomials

Using the Rational Root Theorem and Synthetic Division

Whaddya Know? Chapter 3 Quiz

Answers to Chapter 3 Quiz

Chapter 4 Controlling Quadratic and Rational Inequalities

Checking Out Quadratic Inequalities

Taking on Rational Inequalities and Non-Solutions

Increasing the Factors in Polynomial Inequalities

Considering Absolute Value Inequalities

Compounding the Situation with Compound Inequalities

Solving Inequality Word Problems

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

Reducing every which way but loose

Using cross-products to solve a rational equation

Ridding Yourself of a Radical

Squaring both sides of a radical equation

Calming two radicals

Changing Negative Attitudes toward Negative Exponents

Flipping negative exponents out of the picture

Factoring out negatives to solve equations

Solving Equations with Fractional Exponents

Combining terms with fractional exponents

Factoring fractional exponents

Solving equations by working with fractional exponents

Whaddya Know? Chapter 5 Quiz.

Answers to Chapter 5 Quiz

Chapter 6 Giving Graphing a Gander

Coordinating Axes, Points, and Quadrants

Identifying the parts of the coordinate plane

Plotting from dot to dot

Crossing the Line Using Intercepts and Symmetry

Finding x- and y-intercepts

Reflecting on a graph's symmetry

Preparing to Graph Lines

Finding the slope of a line

Facing two types of equations for lines

Identifying Parallel and Perpendicular Lines

Graphing the Ten Basic Forms

Lines and quadratics

Cubics and quartics

Radicals and rationals

Exponential and logarithmic curves

Absolute values and circles

Enter the Machines: Using a Graphing Calculator

Entering equations into graphing calculators correctly

Looking through the graphing window

Whaddya Know? Chapter 6 Quiz

Answers to Chapter 6 Quiz

Part 2 Figuring on Functions

Chapter 7 Formulating Functions

Featuring Functions

Introducing function notation

Evaluating functions

Homing In on Domain and Range

Determining a function's domain

Describing a function's range

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

Classifying even and odd functions

Applying even and odd functions to graphs

Defining one-to-one functions

Eliminating one-to-one violators

Going to Pieces with Piecewise Functions

Doing piecework

Applying piecewise functions

Composing Functions and Applying the Difference Quotient

Performing compositions

Simplifying the difference quotient

Dealing with Inverse Functions

Determining if functions are inverses

Solving for the inverse of a function

Whaddya Know? Chapter 7 Quiz

Answers to Chapter 7 Quiz

Chapter 8 Specializing in Quadratic Functions

Setting the Standard to Create a Parabola.

Starting with "a" in the standard form

Following up with "b" and "c"

Recognizing the Intercepts and Vertex

Finding the one and only y-intercept

Finding the x-intercepts

Going to the extreme: Finding the vertex

Making Symmetry Work with an Axis

Graphing Parabolas

Applying Quadratics in Real-Life Situations

Selling candles

Shooting basketballs

Launching a water balloon

Whaddya Know? Chapter 8 Quiz

Answers to Chapter 8 Quiz

Chapter 9 Plugging In Polynomials

Getting into Polynomial Basics and Vocabulary

Exploring polynomial intercepts and turning points

Interpreting relative value and absolute value

Counting intercepts and turning points

Solving for Polynomial Intercepts

Finding the Roots of a Polynomial

Applying factoring patterns and groupings

Considering the unfactorable

Saving Your Sanity: The Rational Root Theorem

Putting the theorem to good use

Changing from roots to factors

Letting Descartes make a ruling on signs

Counting up the positive roots

Changing the function to count negative roots

Synthesizing Root Findings

Using synthetic division to test for roots

Synthetically dividing by a binomial

Wringing out the Remainder (Theorem)

Determining Positive and Negative Intervals

Graphing Polynomials

Whaddya Know? Chapter 9 Quiz

Answers to Chapter 9 Quiz

Chapter 10 Acting Rationally with Functions

Exploring the Domain and Intercepts of Rational Functions

Sizing up domain

Introducing intercepts

Adding Asymptotes to the Rational Pot

Determining the equations of vertical asymptotes

Heading after horizontal asymptotes

Graphing vertical and horizontal asymptotes

Crunching the numbers and graphing oblique asymptotes.

Removing Discontinuities

Removal by factoring

Evaluating the removal restrictions

Showing removable discontinuities on a graph

Going the Limit: Limits at a Number and Infinity

Evaluating limits at discontinuities

Determining an existent limit without tables

Determining which functions have limits

Going to infinity

Catching rational limits at infinity

Graphing Rational Functions

Whaddya Know? Chapter 10 Quiz

Answers to Chapter 10 Quiz

Chapter 11 Exploring Exponential and Logarithmic Functions

Evaluating e-Expressions and Powers of e

Exponential functions: it's all about the base, baby

Meeting the most frequently used bases: 10 and e

Solving Exponential Equations

Taking advantage of matching bases

Recognizing and using quadratic patterns

Taking out a greatest common factor

Factoring like a quadratic trinomial

Making Cents: Applying Compound Interest

Applying the compound interest formula

Measuring the actual compound: effective rates

Looking at continuous compounding

Logging On to Logarithmic Functions

Meeting the properties of logarithms

Putting your logs to work

Expanding and contracting expressions with log notation

Solving Logarithmic Equations

Setting log equal to log

Rewriting log equations as exponentials

Graphing Exponential and Logarithmic Functions

Expounding on the exponential

Graphing log functions using intercepts

Reflecting on inverses of exponential functions

Whaddya Know? Chapter 11 Quiz

Answers to Chapter 11 Quiz

Chapter 12 Transforming and Critiquing Functions

Running through the Transformations

Translating and understanding the language

Reflecting on the good feeling graphing gives you.

Scaling the Cliff of Numerical Possibilities.

Notes:

Includes index

Description based on print version record.

ISBN:

1-119-89627-4

OCLC:

1347185514