Prealgebra

by OpenStax

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Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

Description from LibreTexts.

Subjects
Mathematics, PreAlgebra
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. Table of Contents
  5. Licensing
  6. 1: Whole Numbers
  7. 1.1: Introduction to Whole Numbers (Part 1)
  8. 1.2: Introduction to Whole Numbers (Part 2)
  9. 1.3: Add Whole Numbers (Part 1)
  10. 1.4: Add Whole Numbers (Part 2)
  11. 1.5: Subtract Whole Numbers (Part 1)
  12. 1.6: Subtract Whole Numbers (Part 2)
  13. 1.7: Multiply Whole Numbers (Part 1)
  14. 1.8: Multiply Whole Numbers (Part 2)
  15. 1.9: Divide Whole Numbers (Part 1)
  16. 1.E: Whole Numbers (Exercises)
  17. 1.S: Whole Numbers (Summary)
  18. 1.10: Divide Whole Numbers (Part 2)
  19. 2: Introduction to the Language of Algebra
  20. 2.1: Use the Language of Algebra (Part 1)
  21. 2.2: Use the Language of Algebra (Part 2)
  22. 2.3: Evaluate, Simplify, and Translate Expressions (Part 1)
  23. 2.4: Evaluate, Simplify, and Translate Expressions (Part 2)
  24. 2.5: Solving Equations Using the Subtraction and Addition Properties of Equality (Part 1)
  25. 2.6: Solving Equations Using the Subtraction and Addition Properties of Equality (Part 2)
  26. 2.7: Find Multiples and Factors (Part 1)
  27. 2.8: Find Multiples and Factors (Part 2)
  28. 2.9: Prime Factorization and the Least Common Multiple (Part 1)
  29. 2.E: Introduction to the Language of Algebra (Exercises)
  30. 2.S: Introduction to the Language of Algebra (Summary)
  31. 2.10: Prime Factorization and the Least Common Multiple (Part 2)
  32. 3: Integers
  33. 3.1: Introduction to Integers (Part 1)
  34. 3.2: Introduction to Integers (Part 2)
  35. 3.3: Add Integers (Part 1)
  36. 3.4: Add Integers (Part 2)
  37. 3.5: Subtract Integers (Part 1)
  38. 3.6: Subtract Integers (Part 2)
  39. 3.7: Multiply and Divide Integers (Part 1)
  40. 3.8: Multiply and Divide Integers (Part 2)
  41. 3.9: Solve Equations Using Integers; The Division Property of Equality (Part 1)
  42. 3.E: Integers (Exercises)
  43. 3.S: Integers (Summary)
  44. 3.10: Solve Equations Using Integers; The Division Property of Equality (Part 2)
  45. 4: Fractions
  46. 4.1: Visualize Fractions (Part 1)
  47. 4.2: Visualize Fractions (Part 2)
  48. 4.3: Multiply and Divide Fractions (Part 1)
  49. 4.4: Multiply and Divide Fractions (Part 2)
  50. 4.5: Multiply and Divide Mixed Numbers and Complex Fractions (Part 1)
  51. 4.6: Multiply and Divide Mixed Numbers and Complex Fractions (Part 2)
  52. 4.7: Add and Subtract Fractions with Common Denominators
  53. 4.8: Add and Subtract Fractions with Different Denominators (Part 1)
  54. 4.9: Add and Subtract Fractions with Different Denominators (Part 2)
  55. 4.E: Fractions (Exercises)
  56. 4.S: Fractions (Summary)
  57. 4.10: Add and Subtract Mixed Numbers (Part 1)
  58. 4.11: Add and Subtract Mixed Numbers (Part 2)
  59. 4.12: Solve Equations with Fractions (Part 1)
  60. 4.13: Solve Equations with Fractions (Part 2)
  61. 5: Decimals
  62. 5.1: Decimals (Part 1)
  63. 5.2: Decimals (Part 2)
  64. 5.3: Decimal Operations (Part 1)
  65. 5.4: Decimal Operations (Part 2)
  66. 5.5: Decimals and Fractions (Part 1)
  67. 5.6: Decimals and Fractions (Part 2)
  68. 5.7: Solve Equations with Decimals
  69. 5.8: Averages and Probability (Part 1)
  70. 5.9: Averages and Probability (Part 2)
  71. 5.E: Decimals (Exercises)
  72. 5.S: Decimals (Summary)
  73. 5.10: Ratios and Rate (Part 1)
  74. 5.11: Ratios and Rate (Part 2)
  75. 5.12: Simplify and Use Square Roots (Part 1)
  76. 5.13: Simplify and Use Square Roots (Part 2)
  77. 6: Percents
  78. 6.1: Understand Percent
  79. 6.2: Solve General Applications of Percent
  80. 6.3: Solve Sales Tax, Commission, and Discount Applications
  81. 6.4: Solve Simple Interest Applications
  82. 6.5: Solve Proportions and their Applications (Part 1)
  83. 6.6: Solve Proportions and their Applications (Part 2)
  84. 6.E: Percents (Exercises)
  85. 6.S: Percents (Summary)
  86. 7: The Properties of Real Numbers
  87. 7.1: Rational and Irrational Numbers
  88. 7.2: Commutative and Associative Properties (Part 1)
  89. 7.3: Commutative and Associative Properties (Part 2)
  90. 7.4: Distributive Property
  91. 7.5: Properties of Identity, Inverses, and Zero
  92. 7.6: Systems of Measurement (Part 1)
  93. 7.7: Systems of Measurement (Part 2)
  94. 7.E: The Properties of Real Numbers (Exercises)
  95. 7.S: The Properties of Real Numbers (Summary)
  96. 8: Solving Linear Equations
  97. 8.1: Solve Equations Using the Subtraction and Addition Properties of Equality (Part 1)
  98. 8.2: Solve Equations Using the Subtraction and Addition Properties of Equality (Part 2)
  99. 8.3: Solve Equations Using the Division and Multiplication Properties of Equality
  100. 8.4: Solve Equations with Variables and Constants on Both Sides (Part 1)
  101. 8.5: Solve Equations with Variables and Constants on Both Sides (Part 2)
  102. 8.6: Solve Equations with Fraction or Decimal Coefficients
  103. 8.E: Solving Linear Equations (Exercises)
  104. 8.S: Solving Linear Equations (Summary)
  105. 9: Math Models and Geometry
  106. 9.1: Use a Problem Solving Strategy (Part 1)
  107. 9.2: Use a Problem Solving Strategy (Part 2)
  108. 9.3: Solve Money Applications
  109. 9.4: Use Properties of Angles, Triangles, and the Pythagorean Theorem (Part 1)
  110. 9.5: Use Properties of Angles, Triangles, and the Pythagorean Theorem (Part 2)
  111. 9.6: Use Properties of Rectangles, Triangles, and Trapezoids (Part 1)
  112. 9.7: Use Properties of Rectangles, Triangles, and Trapezoids (Part 2)
  113. 9.8: Solve Geometry Applications- Circles and Irregular Figures
  114. 9.9: Solve Geometry Applications- Volume and Surface Area (Part 1)
  115. 9.E: Math Models and Geometry (Exercises)
  116. 9.S: Math Models and Geometry (Summary)
  117. 9.10: Solve Geometry Applications- Volume and Surface Area (Part 2)
  118. 9.11: Solve a Formula for a Specific Variable
  119. 10: Polynomials
  120. 10.1: Add and Subtract Polynomials
  121. 10.2: Use Multiplication Properties of Exponents (Part 1)
  122. 10.3: Use Multiplication Properties of Exponents (Part 2)
  123. 10.4: Multiply Polynomials (Part 1)
  124. 10.5: Multiply Polynomials (Part 2)
  125. 10.6: Divide Monomials (Part 1)
  126. 10.7: Divide Monomials (Part 2)
  127. 10.8: Integer Exponents and Scientific Notation (Part 1)
  128. 10.9: Integer Exponents and Scientific Notation (Part 2)
  129. 10.E: Polynomials (Exercises)
  130. 10.S: Polynomials (Summary)
  131. 10.10: Introduction to Factoring Polynomials
  132. 11: Graphs
  133. 11.1: Use the Rectangular Coordinate System (Part 1)
  134. 11.2: Use the Rectangular Coordinate System (Part 2)
  135. 11.3: Graphing Linear Equations (Part 1)
  136. 11.4: Graphing Linear Equations (Part 2)
  137. 11.5: Graphing with Intercepts (Part 1)
  138. 11.6: Graphing with Intercepts (Part 2)
  139. 11.7: Understand Slope of a Line (Part 1)
  140. 11.8: Understand Slope of a Line (Part 2)
  141. 11.E: Graphs (Exercises)
  142. 11.S: Graphs (Summary)
  143. 12: Appendix
  144. 12.1: Cumulative Review
  145. 12.2: Powers and Roots
  146. 12.3: Geometric Formulas
  147. Back Matter
  148. Index
  149. Glossary
  150. Detailed Licensing