
Easy Algebra Step-by-Step, Third Edition
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Content
- Intro
- Cover
- Title Page
- Copyright Page
- Contents
- Preface
- 1 Numbers of Algebra
- Natural Numbers, Whole Numbers, and Integers
- Rational, Irrational, and Real Numbers
- Properties of the Real Numbers
- 2 Computation with Real Numbers
- Comparing Numbers and Absolute Value
- Addition and Subtraction of Signed Numbers
- Multiplication and Division of Signed Numbers
- 3 Roots and Radicals
- Squares, Square Roots, and Perfect Squares
- Cube Roots and nth Roots
- Simplifying Radicals
- 4 Exponentiation
- Exponents
- Natural Number Exponents
- Zero and Negative Integer Exponents
- Unit Fraction and Rational Exponents
- 5 Order of Operations
- Grouping Symbols
- PEMDAS
- 6 Algebraic Expressions
- Algebraic Terminology
- Evaluating Algebraic Expressions
- Dealing with Parentheses
- 7 Rules for Exponents
- Product Rule
- Quotient Rule
- Rules for Powers
- Rules for Exponents Summary
- 8 Adding and Subtracting Polynomials
- Terms and Monomials
- Polynomials
- Like Terms
- Addition and Subtraction of Monomials
- Combining Like Terms
- Addition and Subtraction of Polynomials
- 9 Multiplying Polynomials
- Multiplying Monomials
- Multiplying Polynomials by Monomials
- Multiplying Binomials
- The FOIL Method
- Multiplying Polynomials
- Special Products
- 10 Simplifying Polynomial Expressions
- Identifying Polynomial Expressions
- Simplifying Polynomial Expressions
- 11 Dividing Polynomials
- Dividing a Polynomial by a Monomial
- Dividing a Polynomial by a Polynomial
- 12 Factoring Polynomials
- Factoring and Its Objectives
- Greatest Common Factor
- GCF with a Negative Coefficient
- A Quantity as a Common Factor
- Factoring Four Terms
- Factoring Quadratic Trinomials
- Factoring Perfect Trinomial Squares
- Factoring Binomials
- Guidelines for Factoring
- 13 Rational Expressions
- Reducing Algebraic Fractions to Lowest Terms
- Multiplying Algebraic Fractions
- Dividing Algebraic Fractions
- Adding (or Subtracting) Algebraic Fractions, Like Denominators
- Adding (or Subtracting) Algebraic Fractions, Unlike Denominators
- Simplifying Complex Fractions
- 14 Solving Linear Equations and Inequalities
- Solving One-Variable Linear Equations
- Solving Two-Variable Linear Equations for a Specific Variable
- Solving One-Variable Linear Inequalities
- 15 Solving Quadratic Equations
- Solving Quadratic Equations of the Form ax2 + c = 0
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations by Completing the Square
- Solving Quadratic Equations by Using the Quadratic Formula
- 16 The Cartesian Coordinate Plane
- Definitions for the Plane
- Ordered Pairs in the Plane
- Quadrants of the Plane
- Finding the Distance Between Two Points in the Plane
- Finding the Midpoint Between Two Points in the Plane
- Finding the Slope of a Line Through Two Points in the Plane
- Slopes of Parallel and Perpendicular Lines
- 17 Graphing Linear Equations
- Properties of a Line
- Graphing a Linear Equation That Is in Standard Form
- Graphing a Linear Equation That Is in Slope-y-Intercept Form
- 18 The Equation of a Line
- Determining the Equation of a Line Given the Slope and y-Intercept
- Determining the Equation of a Line Given the Slope and One Point on the Line
- Determining the Equation of a Line Given Two Distinct Points on the Line
- 19 Basic Function Concepts
- Representations of a Function
- Terminology of Functions
- Some Common Functions
- 20 Systems of Equations
- Solutions to a System of Equations
- Solving a System of Equations by Substitution
- Solving a System of Equations by Elimination
- Solving a System of Equations by Graphing
- 21 Signal Words and Phrases
- Common Signal Words and Phrases for Addition
- Common Signal Words and Phrases for Subtraction
- Common Signal Words and Phrases for Multiplication
- Common Signal Words and Phrases for Division
- Common Signal Words and Phrases for Equality
- 22 Word Problems
- Algebraic Problem-Solving Process
- Be Careful with Units
- Age Relationships
- Consecutive Numbers
- Ratios
- Mixtures
- Coins
- Rate-Time-Distance
- Work
- Percentage
- Simple Interest
- Number Relationships
- Geometric Shapes
- Appendix: Measurement Units and Conversions
- Answer Key
- Index
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File format: PDF
Copy-Protection: Adobe-DRM (Digital Rights Management)
System requirements:
- Computer (Windows; MacOS X; Linux): Install the free reader Adobe Digital Editions prior to download (see eBook Help).
- Tablet/smartphone (Android; iOS): Install the free app Adobe Digital Editions or the app PocketBook before downloading (see eBook Help).
- E-reader: Bookeen, Kobo, Pocketbook, Sony, Tolino and many more (only limited: Kindle).
The file format PDF always displays a book page identically on any hardware. This makes PDF suitable for complex layouts such as those used in textbooks and reference books (images, tables, columns, footnotes). Unfortunately, on the small screens of e-readers or smartphones, PDFs are rather annoying, requiring too much scrolling.
This eBook uses Adobe-DRM, a „hard” copy protection. If the necessary requirements are not met, unfortunately you will not be able to open the eBook. You will therefore need to prepare your reading hardware before downloading.
Please note: We strongly recommend that you authorise using your personal Adobe ID after installation of any reading software.
For more information, see our eBook Help page.