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The First Steps in Algebra

The First Steps in Algebra

by G. A. Wentworth

This textbook introduces the fundamental concepts of algebra, including definitions of units, quantities, and number symbols. It explains the use of letters to represent numbers and outlines the signs for basic mathematical operations.

Languages
English·Español
License
Public Domain
Originally published
1903
Latest release
Oct 8, 2026
Pages
228
Format
A4 (210 × 297 mm)
Book type
Textbook
Read
Public page

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Table of Contents

  1. Introduction
  2. Principal Signs of Operations
  3. OTHER SIGNS USED IN ALGEBRA.
  4. Factors. Coefficients. Powers.
  5. Algebraic Expressions
  6. Parentheses
  7. Algebraic Notation
  8. II. Simple Equations
  9. III. Positive and Negative Numbers
  10. Multiplication and Division of Algebraic Numbers
  11. IV. Addition and Subtraction
  12. Integral Compound Expressions
  13. V. Multiplication and Division
  14. Multiplication. Polynomials by Monomials.
  15. Special Rules of Multiplication
  16. VII. Factors
  17. Case I. When all the terms have a common factor.
  18. 107. When the terms can be grouped so as to show a common factor in each group.
  19. 108. When a binomial is the difference of two squares.
  20. Case IV.
  21. Case V.
  22. Case VI. When a trinomial is a perfect square.
  23. Case VII.
  24. Examples For Review
  25. VIII. Common Factors and Multiples
  26. IX. Fractions
  27. Reduction of Fractions
  28. 128. To Reduce a Fraction to its Lowest Terms.
  29. 129. To Reduce a Fraction to an Integral or Mixed Expression.
  30. 130. To Reduce a Mixed Expression to a Fraction
  31. To Reduce Fractions to their Lowest Common Denominator
  32. Addition and Subtraction of Fractions
  33. Multiplication and Division of Fractions
  34. Fractional Equations
  35. XI. Simultaneous Equations of the First Degree
  36. Miscellaneous Examples.
  37. XII. Quadratic Equations
  38. Pure Quadratic Equations.
  39. Affected Quadratic Equations
  40. XIII. Arithmetical Progression
  41. XIV. Geometrical Progression
  42. XV. Square and Cube Roots
  43. Square Roots of Compound Expressions
  44. Cube Roots of Compound Expressions.