Algebra I all-in-one for dummies
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! Wit...
| Otros Autores: | |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Hoboken, New Jersey :
John Wiley & Sons, Incorporated
[2022]
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| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009724230106719 |
Tabla de Contenidos:
- 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
- Practice Questions Answers and Explanations
- 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
- Practice Question Answers and Explanations
- 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
- Practice Questions Answers and Explanations
- 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
- Practice Questions Answers and Explanations
- 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
- Practice Questions Answers and Explanations
- 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
- Practice Questions Answers and Explanations
- 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
- Practice Questions Answers and Explanations
- 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
- Practice Questions Answers and Explanations
- 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
- Practice Questions Answers and Explanations
- 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
- Practice Questions Answers and Explanations
- 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
- Practice Questions Answers and Explanations
- 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
- Practice Problems Answers and Explanations
- 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.
