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Elementary Algebra

Nguồn ngoài

Elementary Algebra

Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.

AlgebraMathematics
Tác giả
Wade Ellis & Denny Burzynski
Nhà xuất bản
LibreTexts
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LibreTexts
Giấy phép
CC BY
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 131 mục
  1. 01: Arithmetic Review
  2. 1.01: Objectives
  3. 1.02: Factors Products and Exponents
  4. 1.03: Prime Factorization
  5. 1.04: The Least Common Multiple
  6. 1.05: Equivalent Fractions
  7. 1.06: Operations with Fractions
  8. 1.07: Decimal Fractions
  9. 1.08: Percent
  10. 02: Basic Properties of Real Numbers
  11. 2.01: Objectives
  12. 2.02: Symbols and Notations
  13. 2.03: The Real Number Line and the Real Numbers
  14. 2.04: Properties of the Real Numbers
  15. 2.05: Exponents
  16. 2.06: Rules of Exponents
  17. 2.07: The Power Rules for Exponents
  18. 2.08: Summary of Key Concepts
  19. 2.09: Exercise Supplement
  20. 2.10: Proficiency Exam
  21. 03: Basic Operations with Real Numbers
  22. 3.01: Objectives
  23. 3.02: Signed Numbers
  24. 3.03: Absolute Value
  25. 3.04: Addition of Signed Numbers
  26. 3.05: Subtraction of Signed Numbers
  27. 3.06: Multiplication and Division of Signed Numbers
  28. 3.07: Negative Exponents
  29. 3.08: Scientific Notation
  30. 3.09: Summary of Key Concepts
  31. 3.10: Exercise Supplement
  32. 3.11: Proficiency Exam
  33. 04: Algebraic Expressions and Equations
  34. 4.01: Objectives
  35. 4.02: Algebraic Expressions
  36. 4.03: Equations
  37. 4.04: Classification of Expressions and Equations
  38. 4.05: Combining Polynomials Using Addition and Subtraction
  39. 4.06: Combining Polynomials Using Multiplication
  40. 4.07: Special Binomial Products
  41. 4.08: Terminology Associated with Equations
  42. 4.09: Summary of Key Concepts
  43. 4.10: Exercise Supplement
  44. 4.11: Proficiency Exam
  45. 05: Solving Linear Equations and Inequalities
  46. 5.01: Objectives
  47. 5.02: Solving Equations
  48. 5.03: Solving Equations of the Form ax b and x a b
  49. 5.04: Further Techniques in Problem Solving
  50. 5.05: Application I - Translating from Verbal to Mathematical Expressions
  51. 5.06: Application II - Solving Problems
  52. 5.07: Linear Inequalities in One Variable
  53. 5.08: Linear Equations in Two Variables
  54. 5.09: Summary of Key Concepts
  55. 5.10: Exercise Supplement
  56. 5.11: Proficiency Exam
  57. 06: Factoring Polynomials
  58. 6.01: Objectives
  59. 6.02: Finding the factors of a Monomial
  60. 6.03: Factoring a Monomial from a Polynomial
  61. 6.04: The Greatest Common Factor
  62. 6.05: Factoring by Grouping
  63. 6.06: Factoring Two Special Products
  64. 6.07: Factoring Trinomials with Leading Coefficient 1
  65. 6.08: Factoring Trinomials with Leading Coefficient Other Than 1
  66. 6.09: Summary of Key Concepts
  67. 6.10: Exercise Supplement
  68. 6.11: Proficiency Exam
  69. 07: Graphing Linear Equations and Inequalities in One and Two Variables
  70. 7.01: Objectives
  71. 7.02: Graphing Linear Equations and Inequalities in One Variable
  72. 7.03: Plotting Points in the Plane
  73. 7.04: Graphing Linear Equations in Two Variables
  74. 7.05: The Slope-Intercept Form of a Line
  75. 7.06: Graphing Equations in Slope-Intercept Form
  76. 7.07: Finding the Equation of a Line
  77. 7.08: Graphing Linear Inequalities in Two Variables
  78. 7.09: Summary of Key Concepts
  79. 7.10: Exercise Supplement
  80. 7.11: Proficiency Exam
  81. 08: Rational Expressions
  82. 8.01: Objectives
  83. 8.02: Rational Expressions
  84. 8.03: Reducing Rational Expressions
  85. 8.04: Multiplying and Dividing Rational Expressions
  86. 8.05: Building Rational Expressions and the LCD
  87. 8.06: Adding and Subtracting Rational Expressions
  88. 8.07: Rational Equations
  89. 8.08: Applications
  90. 8.09: Complex Rational Expressions
  91. 8.10: Dividing Polynomials
  92. 8.11: Summary of Key Concepts
  93. 8.12: Exercise Supplement
  94. 8.13: Proficiency Exam
  95. 09: Roots Radicals and Square Root Equations
  96. 9.01: Objectives
  97. 9.02: Square Root Expressions
  98. 9.03: Simplifying Square Root Expressions
  99. 9.04: Multiplication of Square Root Expressions
  100. 9.05: Division of Square Root Expressions
  101. 9.06: Addition and Subtraction of Square Root Expressions
  102. 9.07: Square Root Equations with Applications
  103. 9.08: Summary of Key Concepts
  104. 9.09: Exercise Supplement
  105. 9.10: Proficiency Exam
  106. 10: Quadratic Equations
  107. 10.01: Objectives
  108. 10.02: Solving Quadratic Equations
  109. 10.03: Solving Quadratic Equations by Factoring
  110. 10.04: Solving Quadratic Equations Using the Method of Extraction of Roots
  111. 10.05: Solving Quadratic Equations Using the Method of Completing the Square
  112. 10.06: Solving Quadratic Equations Using the Quadratic Formula
  113. 10.07: Applications
  114. 10.08: Graphing Quadratic Solutions
  115. 10.09: Summary of Key Concepts
  116. 10.10: Exercise Supplement
  117. 10.11: Proficiency Exam
  118. 11: Systems of Linear Equations
  119. 11.01: Objectives
  120. 11.02: Solutions by Graphing
  121. 11.03: Elimination by Substitution
  122. 11.04: Elimination by Addition
  123. 11.05: Applications
  124. 11.06: Summary of Key Concepts
  125. 11.07: Exercise Supplement
  126. 11.08: Proficiency Exam
  127. 12: Appendix
  128. 12.01: Table of Symbols
  129. 12.02: Properties of Real Numbers
  130. 12.03: Important and Useful Rules Formulas
  131. 12.04: The 5-Step Method of Solving Applied Problems