Elementary Algebra

by LibreTexts

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Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course.

Description from LibreTexts.

Publisher
LibreTexts
Subjects
Mathematics, Algebra
Licence
CC BY-NC-SA 3.0, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Real Numbers and Their Operations
  7. 1.1: Real numbers and the Number Line
  8. 1.2: Adding and Subtracting Integers
  9. 1.3: Multiplying and Dividing Integers
  10. 1.4: Fractions
  11. 1.5: Review of Decimals and Percents
  12. 1.6: Exponents and Square Roots
  13. 1.7: Order of Operations
  14. 1.E: Review Exercises and Sample Exam
  15. 2: Linear Equations and Inequalities
  16. 2.1: Introduction to Algebra
  17. 2.2: Simplifying Algebraic Expressions
  18. 2.3: Solving Linear Equations- Part 1
  19. 2.4: Solving Linear Equations- Part II
  20. 2.5: Applications of Linear Equations
  21. 2.6: Ratio and Proportion Applications
  22. 2.7: Introduction to Inequalities and Interval Notation
  23. 2.8: Linear Inequalities (One Variable)
  24. 2.E: Review Exercises and Sample Exam
  25. 3: Graphing Lines
  26. 3.1: Rectangular Coordinate System
  27. 3.2: Graph by Plotting Points
  28. 3.3: Graph Using Intercepts
  29. 3.4: Graph Using the y-Intercept and Slope
  30. 3.5: Finding Linear Equations
  31. 3.6: Parallel and Perpendicular Lines
  32. 3.7: Introduction to Functions
  33. 3.8: Linear Inequalities (Two Variables)
  34. 3.E: Review Exercises and Sample Exam
  35. 4: Solving Linear Systems
  36. 4.1: Solving Linear Systems by Graphing
  37. 4.2: Solving Linear Systems by Substitution
  38. 4.3: Solving Linear Systems by Elimination
  39. 4.4: Applications of Linear Systems
  40. 4.5: Solving Systems of Linear Inequalities (Two Variables)
  41. 4.E: Review Exercises and Sample Exam
  42. 5: Polynomials and Their Operations
  43. 5.1: Rules of Exponents
  44. 5.2: Introduction to Polynomials
  45. 5.3: Adding and Subtracting Polynomials
  46. 5.4: Multiplying Polynomials
  47. 5.5: Dividing Polynomials
  48. 5.6: Negative Exponents
  49. 5.E: Review Exercises and Sample Exam
  50. 6: Factoring and Solving by Factoring
  51. 6.1: Introduction to Factoring
  52. 6.2: Factoring Trinomials of the Form x²+bx+c
  53. 6.3: Factoring Trinomials of the Form ax²+bx+c
  54. 6.4: Factoring Special Binomials
  55. 6.5: General Guidelines for Factoring Polynomials
  56. 6.6: Solving Equations by Factoring
  57. 6.7: Applications Involving Quadratic Equations
  58. 6.E: Review Exercises and Sample Exam
  59. 7: Rational Expressions and Equations
  60. 7.1: Simplifying Rational Expressions
  61. 7.2: Multiplying and Dividing Rational Expressions
  62. 7.3: Adding and Subtracting Rational Expressions
  63. 7.4: Complex Rational Expressions
  64. 7.5: Solving Rational Equations
  65. 7.6: Applications of Rational Equations
  66. 7.7: Variation
  67. 7.8: 7.E Review Exercises and Sample Exam
  68. 8: Radical Expressions and Equations
  69. 8.1: Radicals
  70. 8.2: Simplifying Radical Expressions
  71. 8.3: Adding and Subtracting Radical Expressions
  72. 8.4: Multiplying and Dividing Radical Expressions
  73. 8.5: Rational Exponents
  74. 8.6: Solving Radical Equations
  75. 8.E: Review Exercises and Sample Exam
  76. 9: Solving Quadratic Equations and Graphing Parabolas
  77. 9.1: Extracting Square Roots
  78. 9.2: Completing the Square
  79. 9.3: Quadratic Formula
  80. 9.4: Guidelines for Solving Quadratic Equations and Applications
  81. 9.5: Graphing Parabolas
  82. 9.6: Introduction to Complex Numbers and Complex Solutions
  83. 9.E: Review Exercises and Sample Exam
  84. 10: Appendix - Geometric Figures
  85. 10.1: Plane
  86. 10.2: Solid
  87. Back Matter
  88. Index
  89. Glossary
  90. Detailed Licensing