Elementary Algebra

by Wade Ellis & Denny Burzynski

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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.

Description from LibreTexts.

Subjects
Mathematics, Algebra
Licence
CC BY 4.0, as LibreTexts states it
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. Acknowledgments
  5. Table of Contents
  6. Licensing
  7. Table of Contents
  8. Preface
  9. 1: Arithmetic Review
  10. 1.1: Objectives
  11. 1.2: Factors, Products, and Exponents
  12. 1.3: Prime Factorization
  13. 1.4: The Least Common Multiple
  14. 1.5: Equivalent Fractions
  15. 1.6: Operations with Fractions
  16. 1.7: Decimal Fractions
  17. 1.8: Percent
  18. 2: Basic Properties of Real Numbers
  19. 2.1: Objectives
  20. 2.2: Symbols and Notations
  21. 2.3: The Real Number Line and the Real Numbers
  22. 2.4: Properties of the Real Numbers
  23. 2.5: Exponents
  24. 2.6: Rules of Exponents
  25. 2.7: The Power Rules for Exponents
  26. 2.8: Summary of Key Concepts
  27. 2.9: Exercise Supplement
  28. 2.10: Proficiency Exam
  29. 3: Basic Operations with Real Numbers
  30. 3.1: Objectives
  31. 3.2: Signed Numbers
  32. 3.3: Absolute Value
  33. 3.4: Addition of Signed Numbers
  34. 3.5: Subtraction of Signed Numbers
  35. 3.6: Multiplication and Division of Signed Numbers
  36. 3.7: Negative Exponents
  37. 3.8: Scientific Notation
  38. 3.9: Summary of Key Concepts
  39. 3.10: Exercise Supplement
  40. 3.11: Proficiency Exam
  41. 4: Algebraic Expressions and Equations
  42. 4.1: Objectives
  43. 4.2: Algebraic Expressions
  44. 4.3: Equations
  45. 4.4: Classification of Expressions and Equations
  46. 4.5: Combining Polynomials Using Addition and Subtraction
  47. 4.6: Combining Polynomials Using Multiplication
  48. 4.7: Special Binomial Products
  49. 4.8: Terminology Associated with Equations
  50. 4.9: Summary of Key Concepts
  51. 4.10: Exercise Supplement
  52. 4.11: Proficiency Exam
  53. 5: Solving Linear Equations and Inequalities
  54. 5.1: Objectives
  55. 5.2: Solving Equations
  56. 5.3: Solving Equations of the Form ax = b and x/a = b
  57. 5.4: Further Techniques in Problem Solving
  58. 5.5: Application I - Translating from Verbal to Mathematical Expressions
  59. 5.6: Application II - Solving Problems
  60. 5.7: Linear Inequalities in One Variable
  61. 5.8: Linear Equations in Two Variables
  62. 5.9: Summary of Key Concepts
  63. 5.10: Exercise Supplement
  64. 5.11: Proficiency Exam
  65. 6: Factoring Polynomials
  66. 6.1: Objectives
  67. 6.2: Finding the factors of a Monomial
  68. 6.3: Factoring a Monomial from a Polynomial
  69. 6.4: The Greatest Common Factor
  70. 6.5: Factoring by Grouping
  71. 6.6: Factoring Two Special Products
  72. 6.7: Factoring Trinomials with Leading Coefficient 1
  73. 6.8: Factoring Trinomials with Leading Coefficient Other Than 1
  74. 6.9: Summary of Key Concepts
  75. 6.10: Exercise Supplement
  76. 6.11: Proficiency Exam
  77. 7: Graphing Linear Equations and Inequalities in One and Two Variables
  78. 7.1: Objectives
  79. 7.2: Graphing Linear Equations and Inequalities in One Variable
  80. 7.3: Plotting Points in the Plane
  81. 7.4: Graphing Linear Equations in Two Variables
  82. 7.5: The Slope-Intercept Form of a Line
  83. 7.6: Graphing Equations in Slope-Intercept Form
  84. 7.7: Finding the Equation of a Line
  85. 7.8: Graphing Linear Inequalities in Two Variables
  86. 7.9: Summary of Key Concepts
  87. 7.10: Exercise Supplement
  88. 7.11: Proficiency Exam
  89. 8: Rational Expressions
  90. 8.1: Objectives
  91. 8.2: Rational Expressions
  92. 8.3: Reducing Rational Expressions
  93. 8.4: Multiplying and Dividing Rational Expressions
  94. 8.5: Building Rational Expressions and the LCD
  95. 8.6: Adding and Subtracting Rational Expressions
  96. 8.7: Rational Equations
  97. 8.8: Applications
  98. 8.9: Complex Rational Expressions
  99. 8.10: Dividing Polynomials
  100. 8.11: Summary of Key Concepts
  101. 8.12: Exercise Supplement
  102. 8.13: Proficiency Exam
  103. 9: Roots, Radicals, and Square Root Equations
  104. 9.1: Objectives
  105. 9.2: Square Root Expressions
  106. 9.3: Simplifying Square Root Expressions
  107. 9.4: Multiplication of Square Root Expressions
  108. 9.5: Division of Square Root Expressions
  109. 9.6: Addition and Subtraction of Square Root Expressions
  110. 9.7: Square Root Equations with Applications
  111. 9.8: Summary of Key Concepts
  112. 9.9: Exercise Supplement
  113. 9.10: Proficiency Exam
  114. 10: Quadratic Equations
  115. 10.1: Objectives
  116. 10.2: Solving Quadratic Equations
  117. 10.3: Solving Quadratic Equations by Factoring
  118. 10.4: Solving Quadratic Equations Using the Method of Extraction of Roots
  119. 10.5: Solving Quadratic Equations Using the Method of Completing the Square
  120. 10.6: Solving Quadratic Equations Using the Quadratic Formula
  121. 10.7: Applications
  122. 10.8: Graphing Quadratic Solutions
  123. 10.9: Summary of Key Concepts
  124. 10.10: Exercise Supplement
  125. 10.11: Proficiency Exam
  126. 11: Systems of Linear Equations
  127. 11.1: Objectives
  128. 11.2: Solutions by Graphing
  129. 11.3: Elimination by Substitution
  130. 11.4: Elimination by Addition
  131. 11.5: Applications
  132. 11.6: Summary of Key Concepts
  133. 11.7: Exercise Supplement
  134. 11.8: Proficiency Exam
  135. 12: Appendix
  136. 12.1: Table of Symbols
  137. 12.2: Properties of Real Numbers
  138. 12.3: Important and Useful Rules/Formulas
  139. 12.4: The 5-Step Method of Solving Applied Problems
  140. Back Matter
  141. Index
  142. 8: Index (old)
  143. Index
  144. Glossary
  145. Detailed Licensing