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

Format:

Book

Author/Creator:

Sterling, Mary Jane, author.

Language:

English

Subjects (All):

Algebra.

Physical Description:

1 online resource (691 pages)

Place of Publication:

Hoboken, New Jersey : John Wiley & Sons, Incorporated, [2022]

Summary:

Solve for 'X' with this practical and easy guide to everything algebra A solid understanding of algebra is the key to unlocking other areas of math and science that rely on the concepts and skills that happen in a foundational Algebra class. Algebra I All-In-One For Dummies is the key! With it, you'll get everything you need to solve the mystery of Algebra I. This book proves that algebra is for everyone with straightforward, unit-based instruction, hundreds of examples and practice problems, and two quizzes for every chapter - one in the book and another (totally different!) online. From graph and word problems to the FOIL method and common algebra terminology, Algebra I All-In-One For Dummies walks you step-by-step through ALL the concepts you need to know to slay your Algebra I class. In this handy guide, you'll also: Receive instruction and tips on how to handle basic and intermediate algebraic tasks such as factoring and equation simplification Banish math anxiety forever by developing an intuitive understanding of how algebra works Get a handle on graphing problems and functions, as well as inequalities and word problems Algebra I All-In-One For Dummies is a must-read for Algebra students looking for an everything-in-one-book supplement to their coursework, as well as anyone hoping to brush up on their math before tackling a related subject, such as physics, chemistry, or a more advanced math topic.

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

Book 1: Starting Out with Numbers and Properties

Chapter 1: Assembling Your Tools: Number Systems

Identifying Numbers by Name

Realizing real numbers

Counting on natural numbers

Whittling out whole numbers

Integrating integers

Being reasonable: Rational numbers

Restraining irrational numbers

Picking out primes and composites

Zero: It's Complicated

Imagining imaginary numbers

Coping with complex numbers

Placing Numbers on the Number Line

Speaking in Algebra

Being precise with words

Describing the size of an expression

Relating operations with symbols

Taking Aim at Algebra-Speak

Herding numbers with grouping symbols

Defining relationships

Taking on algebraic tasks

Practice Questions Answers and Explanations

Whaddya Know? Chapter 1 Quiz

Answers to Chapter 1 Quiz

Chapter 2: Deciphering Signs in Expressions

Assigning Numbers Their Place

Using the number line

Comparing positives and negatives with symbols

Zeroing in on Zero

Going in for Operations

Sorting out types of operations

Tackling the Basic Binary Operations

Adding signed numbers

Making a Difference with Signed Numbers

Multiplying Signed Numbers

Dividing Signed Numbers

Working with Nothing: Zero and Signed Numbers

Whaddya Know? Chapter 2 Quiz

Answers to Chapter 2 Quiz

Chapter 3: Incorporating Algebraic Properties

Getting a Grip on Grouping Symbols

Spreading, Grouping, and Changing the Order

Distributing the wealth

Making Associations Work

Computing by Commuting

Relating Inverses and Identities

Investigating Inverses.

Identifying Identities

Working with Factorial

Applying the Greatest Integer Function

Practice Question Answers and Explanations

Whaddya Know? Chapter 3 Quiz

Answers to Chapter 3 Quiz

Chapter 4: Coordinating Fractions and Decimals

Converting Improper Fractions and Mixed Numbers

Finding Fraction Equivalences

Rewriting fractions

Determining lowest terms

Making Proportional Statements

Finding Common Denominators

Creating common denominators from multiples of factors

Using the box method

Applying Fractional Operations

Adding and subtracting fractions

Multiplying and dividing fractions

Simplifying Complex Fractions

Performing Operations with Decimals

Changing Fractions to Decimals and Vice Versa

Making fractions become decimals

Rounding decimals

Writing decimals as equivalent fractions

Whaddya Know? Chapter 4 Quiz

Answers to Chapter 4 Quiz

Book 2: Operating on Operations

Chapter 5: Taming Rampaging Radicals

Simplifying Radical Terms

Working through Radical Expressions

Recognizing perfect square terms

Rewriting radical terms

Rationalizing Fractions

Managing Radicals as Exponential Terms

Using Fractional Exponents

Making the switch to fractional exponents

Simplifying expressions with exponents

Estimating Answers

Whaddya Know? Chapter 5 Quiz

Answers to Chapter 5 Quiz

Chapter 6: Exploring Exponents

Powering up with Exponential Notation

Using Negative Exponents

Multiplying and Dividing Exponentials

Multiplying the same base

Multiplying the same power

Dividing with exponents

Raising Powers to Powers

Testing the Power of Zero

Writing Numbers with Scientific Notation

Practice Questions Answers and Explanations.

Whaddya Know? Chapter 6 Quiz

Answers to Chapter 6 Quiz

Book 3: Making Things Simple by Simplifying

Chapter 7: Simplifying Algebraic Expressions

Addressing the Order of Operations

Adding and Subtracting Like Terms

Multiplying and Dividing Algebraically

Dealing with factors

Diving into dividing

Gathering Terms with Grouping Symbols

Evaluating Expressions

Checking Your Answers

Seeing if it makes sense

Plugging in values

Whaddya Know? Chapter 7 Quiz

Answers to Chapter 7 Quiz

Chapter 8: Working with Numbers in Their Prime

Beginning with the Basics

Composing Composite Numbers

Writing Prime Factorizations

Dividing while standing on your head

Getting to the root of primes with a tree

Wrapping your head around the rules of divisibility

Making Use of a Prime Factor

Taking primes into account

Pulling out factors and leaving the rest

Whaddya Know? Chapter 8 Quiz

Answers to Chapter 8 Quiz

Chapter 9: Specializing in Multiplication Matters

Distributing One Factor Over Many

Distributing Signs

Mixing It up with Numbers and Variables

Negative exponents yielding fractional answers

Working with Fractional Powers

Distributing More Than One Term

Distributing binomials

Distributing trinomials

Curses, Foiled Again - Or Not

Squaring Binomials

Multiplying the Sum and Difference of the Same Two Terms

Powering Up Binomials

Cubing binomials

Raising Binomials to Higher Powers

Creating the Sum and Difference of Cubes

Multiplying Conjugates

Whaddya Know? Chapter 9 Quiz

Answers to Chapter 9 Quiz

Chapter 10: Dividing the Long Way to Simplify Algebraic Expressions

Dividing by a Monomial.

Dividing by a Binomial

Dividing by Polynomials with More Terms

Simplifying Division Synthetically

Whaddya Know? Chapter 10 Quiz

Answers to Chapter 10 Quiz

Book 4: Factoring

Chapter 11: Figuring on Factoring

Factoring out the Greatest Common Factor

Factoring out numbers

Factoring out variables

Unlocking combinations of numbers and variables

Using the Box Method

Changing Factoring into a Division Problem

Reducing Algebraic Fractions

Whaddya Know? Chapter 11 Quiz

Answers to Chapter 11 Quiz

Chapter 12: Taking the Bite out of Binomial Factoring

Reining in Big and Tiny Numbers

Factoring the Difference of Squares

Factoring Differences and Sums of Cubes

Making Factoring a Multiple Mission

Whaddya Know? Chapter 12 Quiz

Answers to Chapter 12 Quiz

Chapter 13: Factoring Trinomials and Special Polynomials

Recognizing the Standard Quadratic Expression

Focusing First on the Greatest Common Factor

Unwrapping the FOILing Package

The opening to unFOIL

Coming to the end of the FOIL roll

Factoring Quadratic-Like Trinomials

Factoring Trinomials Using More Than One Method

Factoring by Grouping

Putting All the Factoring Together and Making Factoring Choices

Combining unFOIL and the GCF

Grouping and unFOILing in the same package

Incorporating the Remainder Theorem

Synthesizing with synthetic division

Choosing numbers for synthetic division

Whaddya Know? Chapter 13 Quiz

Answers to Chapter 13 Quiz

Book 5: Solving Linear and Polynomial Equations

Chapter 14: Establishing Ground Rules for Solving Equations

Creating the Correct Setup for Solving Equations.

Setting up equations for further action

Making plans for solving equations

Keeping Equations Balanced

Balancing with binary operations

Squaring both sides and suffering the consequences

Taking a root of both sides

Solving with Reciprocals

Making a List and Checking It Twice

Doing a reality check

Thinking like a car mechanic when checking your work

Practice Problems Answers and Explanations

Whaddya Know? Chapter 14 Quiz

Answers to Chapter 14 Quiz

Chapter 15: Lining Up Linear Equations

Playing by the Rules

Using the Addition/Subtraction Property

Using the Multiplication/Division Property

Devising a method using division

Making the most of multiplication

Reciprocating the invitation

Putting Several Operations Together

Solving Linear Equations with Grouping Symbols

Nesting isn't for the birds

Distributing first

Multiplying or dividing before distributing

Working with Proportions

Using the rules for proportions

Transforming fractional equations into proportions

Solving for Variables in Formulas

Whaddya Know? Chapter 15 Quiz

Answers to Chapter 15 Quiz

Chapter 16: Muscling Up to Quadratic Equations

Using the Square-Root Rule

Factoring for a Solution

Zeroing in on the multiplication property of zero

Assigning the greatest common factor and multiplication property of zero to solving quadratics

Solving Quadratics with Three Terms

Using the Quadratic Formula

Completing the Square

Imagining the Worst with Imaginary Numbers

Whaddya Know? Chapter 16 Quiz

Answers to Chapter 16 Quiz

Book 6: Dealing with Non-Polynomial Equations and Inequalities

Chapter 17: Yielding to Higher Powers

Queuing Up to Cubic Equations.

Solving perfectly cubed equations.

Notes:

Description based on print version record.

ISBN:

9781119843061

1119843065

9781119843054

1119843057

OCLC:

1300763944