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CITATION

Rich, Barnett and Schmidt, Philip. Schaum's Outline of Elementary Algebra. McGraw-Hill, 2004.

Schaum's Outline of Elementary Algebra

Authors: Barnett Rich and Philip Schmidt

Published:  January 2004

eISBN: 9780071431095 0071431098 | ISBN: 9780071410830
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  • Terms Of Use
  • Want to learn more?
  • Preface
  • Contents
  • Chapter 01 - From Arithemetic to Algebra
  • Representing Numbers by Letters
  • Interchanging Numbers in Addition
  • Interchanging Numbers in Multiplication
  • Symbolizing the Operations in Algebra
  • Expressing Addition and Subtraction Algebraically
  • Expressing Multiplication and Division Algebraically
  • Expressing Two or More Operations Algebraically
  • Order in Which Fundamental Operations Are Performed
  • The Uses of Parentheses: Changing the Order of Operations
  • Multiplying Factors in Terms: Numerical and Literal Coefficients
  • Repeated Multiplying of a Factor: Base, Exponent, and Power
  • Combining Like and Unlike Terms
  • Chapter 02 - Simple Equations and Their Solutions
  • Kinds of Equalities: Equations and Identities
  • Translating Verbal Statements into Equations
  • Solving Simple Equations by Using Inverse Operations
  • Rules of Equality for Solving Equations
  • Using Division to Solve an Equation
  • Using Multiplication to Solve an Equation
  • Using Subtraction to Solve an Equation
  • Using Addition to Solve an Equation
  • Using Two or More Operations to Solve an Equation
  • Chapter 03 - Signed Numbers
  • Understanding Signed Numbers: Positive and Negative Numbers
  • Using Number Scales for Signed Numbers
  • Adding Signed Numbers
  • Simplifying the Addition of Signed Numbers
  • Subtracting Signed Numbers
  • Multiplying Signed Numbers
  • Finding Powers of Signed Numbers
  • Dividing Signed Numbers
  • Evaluating Expressions Having Signed Numbers
  • Chapter 04 - Introduction to Monomials and Polynomials
  • Understanding Monomials and Polynomials
  • Adding Monomials
  • Arranging and Adding Polynomials
  • Subtracting Monomials
  • Subtracting Polynomials
  • Using Parentheses and Other Grouping Symbols to Add or Subtract Polynomials
  • Multiplying Monomials and Powers of the Same Base
  • Multiplying a Polynomial by a Monomial
  • Multiplying Polynomials
  • Dividing Powers and Monomials
  • Dividing a Polynomial by a Monomial
  • Dividing a Polynomial by a Polynomial
  • Chapter 05 - First Degree Equations
  • Reviewing the Solution of First-Degree Equations Having Positive Roots
  • Solving First-Degree Equations Having Negative Solutions
  • Solving Equations by Transposing
  • Solving Equations Containing Parentheses
  • Solving Equations Containing One Fraction or Fractions Having the Same Denominator
  • Solving Equations Containing Fractions Having Different Denominators: Lowest Common Denominator
  • Solving Equations Containing Decimals
  • Solving Literal Equations
  • The Graphing Calculator
  • Chapter 06 - Formulas
  • Points and Lines
  • Understanding Polygons, Circles, and Solids
  • Formulas for Perimeters and Circumferences: Linear Measure
  • Formulas for Areas: Square Measure
  • Formulas for Volumes: Cubic Measure
  • Deriving Formulas
  • Transforming Formulas
  • Finding the Value of an Unknown in a Formula
  • Chapter 07 - Graphs of Linear Equations
  • Understanding Graphs
  • Graphing Linear Equations
  • Solving a Pair of Linear Equations Graphically
  • Deriving a Linear Equation from a Table of Values
  • Midpoint of a Segment
  • Distance between Two Points
  • Chapter 08 - Introduction to Simultaneous Equations
  • Solving a Pair of Equations by Addition or Subtraction
  • Solving a Pair of Equations by Substitution
  • Chapter 09 - Problem Solving and Mathematical Modeling
  • Number Problems Having One Unknown: Introduction to Problem Solving
  • Number Problems Having Two Unknowns
  • Consecutive-Integer Problems
  • Age Problems
  • Ratio Problems
  • Angle Problems
  • Perimeter Problems
  • Coin or Stamp Problems
  • Cost and Mixture Problems
  • Investment or Interest Problems
  • Motion Problems
  • Mathematical Modeling
  • Chapter 10 - Products and Factoring
  • Understanding Factors and Products
  • Factoring a Polynomial Having a Common Monomial Factor
  • Squaring a Monomial
  • Finding the Square Root of a Monomial
  • Finding the Product of the Sum and Difference of Two Numbers
  • Factoring the Difference of Two Squares
  • Finding the Product of Two Binomials with Like Terms
  • Factoring Trinomials in Form of x2 + bx + c
  • Factoring a Trinomial in Form of ax2 + bx + c
  • Squaring a Binomial
  • Factoring a Perfect-Square Trinomial
  • Completely Factoring Polynomials
  • The Variable: Direct and Inverse Variation
  • Understanding Direct Variation: y=kx or y/x=k
  • Understanding Inverse Variation: xy = k
  • Chapter 11 - Fractions
  • Understanding Fractions
  • Changing Fractions to Equivalent Fractions
  • Reciprocals and Their Uses
  • Reducing Fractions to Lowest Terms
  • Multiplying Fractions
  • Dividing Fractions
  • Adding or Subtracting Fractions Having the Same Denominator
  • Adding or Subtracting Fractions Having Different Denominators
  • Simplifying Complex Fractions
  • Chapter 12 - Roots and Radicals
  • Understanding Roots and Radicals
  • Understanding Rational and Irrational Numbers
  • Finding the Square Root of a Number by Using a Graph
  • Finding the Square Root of a Number by Using a Table or Calculator
  • Simplifying the Square Root of a Product
  • Simplifying the Square Root of a Fraction
  • Adding and Subtracting Square Roots of Numbers
  • Multiplying Square Roots of Numbers
  • Dividing Square Roots of Numbers
  • Rationalizing the Denominator of a Fraction
  • Solving Radical Equations
  • Chapter 13 - Quadratic Equations
  • Understanding Quadratic Equations in One Unknown
  • Solving Quadratic Equations by Factoring
  • Solving Incomplete Quadratic Equations
  • Solving a Quadratic Equation by Completing the Square
  • Solving a Quadratic Equation by Quadratic Formula
  • Solving Quadratic Equations Graphically
  • Chapter 14 - The Pythagorean Theorem and Similar Triangles
  • Law of Pythagoras
  • Proportions: Equal Ratios
  • Similar Triangles
  • Chapter 15 - Introduction to Trigonometry
  • Understanding Trigonometric Ratios
  • Trigonometric Functions of an Acute Angle
  • Trigonometric Functions of Complementary Angles
  • Trigonometric Functions of 30°, 45°, 60°
  • Chapter 16 - Introduction to Geometry
  • Solving Problems Graphically
  • Understanding the Slope of a Line
  • Understanding Congruent Triangles
  • Understanding Symmetry
  • Transformations
  • APPENDIX A: Review of Arithmetic
  • APPENDIX B: The Use of Calculators
  • Index