Algebra I essentials / Mary Jane Sterling.

Format:

Book

Author/Creator:

Sterling, Mary Jane, author.

Language:

English

Subjects (All):

Algebra.

Physical Description:

1 online resource (195 pages)

Edition:

1st ed.

Place of Publication:

Hoboken, New Jersey : For Dummies, [2019]

Summary:

Algebra I Essentials For Dummies (9781119590965) was previously published as Algebra I Essentials For Dummies (9780470618349).While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.

Contents:

Intro

Title Page

Copyright Page

Table of Contents

Introduction

About This Book

Conventions Used in This Book

Foolish Assumptions

Icons Used in This Book

Where to Go from Here

Beyond the Book

Chapter 1 Setting the Scene for Actions in Algebra

Making Numbers Count

Facing reality with reals

Going green with naturals

Wholesome whole numbers

Integrating integers

Behaving with rationals

Reacting to irrationals

Picking out primes and composites

Giving Meaning to Words and Symbols

Valuing vocabulary

Signing up for symbols

Going for grouping

Operating with Signed Numbers

Adding signed numbers

Subtracting signed numbers

Multiplying and dividing signed numbers

Dealing with Decimals and Fractions

Changing fractions to decimals

Changing decimals to fractions

Chapter 2 Examining Powers and Roots

Expanding and Contracting with Exponents

Exhibiting Exponent Products

Taking Division to Exponents

Taking on the Power of Zero

Taking on the Negativity of Exponents

Putting Powers to Work

Circling around Square Roots

Chapter 3 Ordering and Distributing: The Business of Algebra

Taking Orders for Operations

Dealing with Distributing

Making Numbers and Variables Cooperate

Relating negative exponents to fractions

Creating powers with fractions

Making Distributions over More than One Term

Chapter 4 Factoring in the First and Second Degrees

Making Factoring Work

Facing the factoring method

Factoring out numbers and variables

Getting at the Basic Quadratic Expression

Following Up on FOIL and unFOIL

Making UnFOIL and the GCF Work Together

Getting the Best of Binomials

Facing up to the difference of two perfect squares

Creating factors for the difference of perfect cubes

Finishing with the sum of perfect cubes.

Chapter 5 Broadening the Factoring Horizon

Grabbing onto Grouping

Getting the groups together

Grouping and unFOILing in the same package

Tackling Multiple Factoring Methods

Beginning with binomials

Finishing with binomials

Recognizing when you have a quadratic-like expression

Knowing When Enough Is Enough

Recruiting the Remainder Theorem

Getting real with synthetic division

Making good choices for synthetic division

Factoring Rational Expressions

Chapter 6 Solving Linear Equations

Playing by the Rules

Solving Equations with Two Terms

Depending on division

Making use of multiplication

Reciprocating the invitation

Taking on Three Terms

Eliminating a constant term

Vanquishing the extra variable term

Breaking Up the Groups

Nesting isn't for the birds

Distributing first

Multiplying before distributing

Focusing on Fractions

Promoting proportions

Taking advantage of proportions

Changing Formulas by Solving for Variables

Chapter 7 Tackling Second-Degree Quadratic Equations

Recognizing Quadratic Equations

Finding Solutions for Quadratic Equations

Applying Factorizations

Zeroing in on the multiplication property of zero

Solving quadratics by factoring and applying the multiplication property of zero

Solving Three-Term Quadratics

Applying Quadratic Solutions

Calling on the Quadratic Formula

Ignoring Reality with Imaginary Numbers

Chapter 8 Expanding the Equation Horizon

Queuing Up to Cubic Equations

Solving perfectly cubed equations

Going for the greatest common factor

Grouping cubes

Solving cubics with integers

Using Synthetic Division

Working Quadratic-Like Equations

Rooting Out Radicals

Chapter 9 Reconciling Inequalities

Introducing Interval Notation

Comparing inequality and interval notation.

Graphing inequalities

Performing Operations on Inequalities

Adding and subtracting numbers to inequalities

Multiplying and dividing inequalities

Finding Solutions for Linear Inequalities

Expanding to More than Two Expressions

Taking on Quadratic and Rational Inequalities

Using a similar process with more than two factors

Identifying the factors in fractional inequalities

Chapter 10 Absolute-Value Equations and Inequalities

Acting on Absolute-Value Equations

Working Absolute-Value Inequalities

Chapter 11 Making Algebra Tell a Story

Making Plans to Solve Story Problems

Finding Money and Interest Interesting

Investigating investments and interest

Greening up with money

Formulating Distance Problems

Making the distance formula work for you

Figuring distance plus distance

Figuring distance and fuel

Stirring Things Up with Mixtures

Chapter 12 Putting Geometry into Story Problems

Triangulating a Problem with the Pythagorean Theorem

Being Particular about Perimeter

Triangulating triangles

Squaring up to squares and rectangles

Recycling circles

Making Room for Area Problems

Ruminating about rectangles and squares

Taking on triangles

Rounding up circles

Validating with Volume

Prodding prisms and boxing boxes

Cycling cylinders

Pointing to pyramids and cones

Chapter 13 Grappling with Graphing

Preparing to Graph a Line

Incorporating Intercepts

Sliding the Slippery Slope

Computing slope

Combining slope and intercept

Creating the slope-intercept form

Graphing with slope-intercept

Making Parallel and Perpendicular Lines Toe the Line

Criss-Crossing Lines

Turning the Curve with Curves

Going around in circles with a circular graph

Putting up with parabolas

Chapter 14 Ten Warning Signs of Algebraic Pitfalls.

Including the Middle Term

Keeping Distributions Fair

Creating Two Fractions from One

Restructuring Radicals

Including the Negative (or Not)

Making Exponents Fractional

Keeping Bases the Same

Powering Up a Power

Making Reasonable Reductions

Catching All the Negative Exponents

Index

EULA.

Notes:

Includes index.

Description based on print version record.

Description based on publisher supplied metadata and other sources.

ISBN:

9781119590989

1119590981

OCLC:

1097597572