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Elementary Algebra

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Elementary Algebra

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.

AlgebraMathematics
Author
LibreTexts
Publisher
LibreTexts
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 81 sections
  1. 01: Real Numbers and Their Operations
  2. 1.0E: 1.E: Review Exercises and Sample Exam
  3. 1.01: Real numbers and the Number Line
  4. 1.02: Adding and Subtracting Integers
  5. 1.03: Multiplying and Dividing Integers
  6. 1.04: Fractions
  7. 1.05: Review of Decimals and Percents
  8. 1.06: Exponents and Square Roots
  9. 1.07: Order of Operations
  10. 02: Linear Equations and Inequalities
  11. 2.0E: 2.E: Review Exercises and Sample Exam
  12. 2.01: Introduction to Algebra
  13. 2.02: Simplifying Algebraic Expressions
  14. 2.03: Solving Linear Equations- Part 1
  15. 2.04: Solving Linear Equations- Part II
  16. 2.05: Applications of Linear Equations
  17. 2.06: Ratio and Proportion Applications
  18. 2.07: Introduction to Inequalities and Interval Notation
  19. 2.08: Linear Inequalities (One Variable)
  20. 03: Graphing Lines
  21. 3.0E: 3.E: Review Exercises and Sample Exam
  22. 3.01: Rectangular Coordinate System
  23. 3.02: Graph by Plotting Points
  24. 3.03: Graph Using Intercepts
  25. 3.04: Graph Using the y-Intercept and Slope
  26. 3.05: Finding Linear Equations
  27. 3.06: Parallel and Perpendicular Lines
  28. 3.07: Introduction to Functions
  29. 3.08: Linear Inequalities (Two Variables)
  30. 04: Solving Linear Systems
  31. 4.0E: 4.E: Review Exercises and Sample Exam
  32. 4.01: Solving Linear Systems by Graphing
  33. 4.02: Solving Linear Systems by Substitution
  34. 4.03: Solving Linear Systems by Elimination
  35. 4.04: Applications of Linear Systems
  36. 4.05: Solving Systems of Linear Inequalities (Two Variables)
  37. 05: Polynomials and Their Operations
  38. 5.0E: 5.E: Review Exercises and Sample Exam
  39. 5.01: Rules of Exponents
  40. 5.02: Introduction to Polynomials
  41. 5.03: Adding and Subtracting Polynomials
  42. 5.04: Multiplying Polynomials
  43. 5.05: Dividing Polynomials
  44. 5.06: Negative Exponents
  45. 06: Factoring and Solving by Factoring
  46. 6.0E: 6.E: Review Exercises and Sample Exam
  47. 6.01: Introduction to Factoring
  48. 6.02: Factoring Trinomials of the Form x bx c
  49. 6.03: Factoring Trinomials of the Form ax bx c
  50. 6.04: Factoring Special Binomials
  51. 6.05: General Guidelines for Factoring Polynomials
  52. 6.06: Solving Equations by Factoring
  53. 6.07: Applications Involving Quadratic Equations
  54. 07: Rational Expressions and Equations
  55. 7.01: Simplifying Rational Expressions
  56. 7.02: Multiplying and Dividing Rational Expressions
  57. 7.03: Adding and Subtracting Rational Expressions
  58. 7.04: Complex Rational Expressions
  59. 7.05: Solving Rational Equations
  60. 7.06: Applications of Rational Equations
  61. 7.07: Variation
  62. 7.08: 7.E Review Exercises and Sample Exam
  63. 08: Radical Expressions and Equations
  64. 8.0E: 8.E: Review Exercises and Sample Exam
  65. 8.01: Radicals
  66. 8.02: Simplifying Radical Expressions
  67. 8.03: Adding and Subtracting Radical Expressions
  68. 8.04: Multiplying and Dividing Radical Expressions
  69. 8.05: Rational Exponents
  70. 8.06: Solving Radical Equations
  71. 09: Solving Quadratic Equations and Graphing Parabolas
  72. 9.0E: 9.E: Review Exercises and Sample Exam
  73. 9.01: Extracting Square Roots
  74. 9.02: Completing the Square
  75. 9.03: Quadratic Formula
  76. 9.04: Guidelines for Solving Quadratic Equations and Applications
  77. 9.05: Graphing Parabolas
  78. 9.06: Introduction to Complex Numbers and Complex Solutions
  79. 10: Appendix - Geometric Figures
  80. 10.01: Plane
  81. 10.02: Solid