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CITATION

McCune, Sandra Luna and Clark, William D.. Easy Algebra Step-by-Step, Second Edition. New York: McGraw-Hill Education, 2017.

Easy Algebra Step-by-Step, Second Edition

Authors: Sandra Luna McCune and William D. Clark

Published:  December 2017

eISBN: 9781260025934 | ISBN: 9781260025927
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  • 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