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Prealgebra

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Prealgebra

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.

Mathematics
Author
OpenStax
Publisher
LibreTexts
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 141 sections
  1. 01: Whole Numbers
  2. 1.01: Introduction to Whole Numbers (Part 1)
  3. 1.02: Introduction to Whole Numbers (Part 2)
  4. 1.03: Add Whole Numbers (Part 1)
  5. 1.04: Add Whole Numbers (Part 2)
  6. 1.05: Subtract Whole Numbers (Part 1)
  7. 1.06: Subtract Whole Numbers (Part 2)
  8. 1.07: Multiply Whole Numbers (Part 1)
  9. 1.08: Multiply Whole Numbers (Part 2)
  10. 1.09: Divide Whole Numbers (Part 1)
  11. 1.10: Divide Whole Numbers (Part 2)
  12. 1.11: Whole Numbers (Exercises)
  13. 1.12: Whole Numbers (Summary)
  14. 02: Introduction to the Language of Algebra
  15. 2.01: Use the Language of Algebra (Part 1)
  16. 2.02: Use the Language of Algebra (Part 2)
  17. 2.03: Evaluate Simplify and Translate Expressions (Part 1)
  18. 2.04: Evaluate Simplify and Translate Expressions (Part 2)
  19. 2.05: Solving Equations Using the Subtraction and Addition Properties of Equality (Part 1)
  20. 2.06: Solving Equations Using the Subtraction and Addition Properties of Equality (Part 2)
  21. 2.07: Find Multiples and Factors (Part 1)
  22. 2.08: Find Multiples and Factors (Part 2)
  23. 2.09: Prime Factorization and the Least Common Multiple (Part 1)
  24. 2.10: Prime Factorization and the Least Common Multiple (Part 2)
  25. 2.11: Introduction to the Language of Algebra (Exercises)
  26. 2.12: Introduction to the Language of Algebra (Summary)
  27. 03: Integers
  28. 3.01: Introduction to Integers (Part 1)
  29. 3.02: Introduction to Integers (Part 2)
  30. 3.03: Add Integers (Part 1)
  31. 3.04: Add Integers (Part 2)
  32. 3.05: Subtract Integers (Part 1)
  33. 3.06: Subtract Integers (Part 2)
  34. 3.07: Multiply and Divide Integers (Part 1)
  35. 3.08: Multiply and Divide Integers (Part 2)
  36. 3.09: Solve Equations Using Integers; The Division Property of Equality (Part 1)
  37. 3.10: Solve Equations Using Integers; The Division Property of Equality (Part 2)
  38. 3.11: Integers (Exercises)
  39. 3.12: Integers (Summary)
  40. 04: Fractions
  41. 4.01: Visualize Fractions (Part 1)
  42. 4.02: Visualize Fractions (Part 2)
  43. 4.03: Multiply and Divide Fractions (Part 1)
  44. 4.04: Multiply and Divide Fractions (Part 2)
  45. 4.05: Multiply and Divide Mixed Numbers and Complex Fractions (Part 1)
  46. 4.06: Multiply and Divide Mixed Numbers and Complex Fractions (Part 2)
  47. 4.07: Add and Subtract Fractions with Common Denominators
  48. 4.08: Add and Subtract Fractions with Different Denominators (Part 1)
  49. 4.09: Add and Subtract Fractions with Different Denominators (Part 2)
  50. 4.10: Add and Subtract Mixed Numbers (Part 1)
  51. 4.11: Add and Subtract Mixed Numbers (Part 2)
  52. 4.12: Solve Equations with Fractions (Part 1)
  53. 4.13: Solve Equations with Fractions (Part 2)
  54. 4.14: Fractions (Exercises)
  55. 4.15: Fractions (Summary)
  56. 05: Decimals
  57. 5.01: Decimals (Part 1)
  58. 5.02: Decimals (Part 2)
  59. 5.03: Decimal Operations (Part 1)
  60. 5.04: Decimal Operations (Part 2)
  61. 5.05: Decimals and Fractions (Part 1)
  62. 5.06: Decimals and Fractions (Part 2)
  63. 5.07: Solve Equations with Decimals
  64. 5.08: Averages and Probability (Part 1)
  65. 5.09: Averages and Probability (Part 2)
  66. 5.10: Ratios and Rate (Part 1)
  67. 5.11: Ratios and Rate (Part 2)
  68. 5.12: Simplify and Use Square Roots (Part 1)
  69. 5.13: Simplify and Use Square Roots (Part 2)
  70. 5.14: Decimals (Exercises)
  71. 5.15: Decimals (Summary)
  72. 06: Percents
  73. 6.1: Understand Percent
  74. 6.2: Solve General Applications of Percent
  75. 6.3: Solve Sales Tax Commission and Discount Applications
  76. 6.4: Solve Simple Interest Applications
  77. 6.5: Solve Proportions and their Applications (Part 1)
  78. 6.6: Solve Proportions and their Applications (Part 2)
  79. 6.7: Percents (Exercises)
  80. 6.8: Percents (Summary)
  81. 07: The Properties of Real Numbers
  82. 7.1: Rational and Irrational Numbers
  83. 7.2: Commutative and Associative Properties (Part 1)
  84. 7.3: Commutative and Associative Properties (Part 2)
  85. 7.4: Distributive Property
  86. 7.5: Properties of Identity, Inverses, and Zero
  87. 7.6: Systems of Measurement (Part 1)
  88. 7.7: Systems of Measurement (Part 2)
  89. 7.8: The Properties of Real Numbers (Exercises)
  90. 7.9: The Properties of Real Numbers (Summary)
  91. 08: Solving Linear Equations
  92. 8.1: Solve Equations Using the Subtraction and Addition Properties of Equality (Part 1)
  93. 8.2: Solve Equations Using the Subtraction and Addition Properties of Equality (Part 2)
  94. 8.3: Solve Equations Using the Division and Multiplication Properties of Equality
  95. 8.4: Solve Equations with Variables and Constants on Both Sides (Part 1)
  96. 8.5: Solve Equations with Variables and Constants on Both Sides (Part 2)
  97. 8.6: Solve Equations with Fraction or Decimal Coefficients
  98. 8.7: Solving Linear Equations (Exercises)
  99. 8.8: Solving Linear Equations (Summary)
  100. 09: Math Models and Geometry
  101. 9.01: Use a Problem Solving Strategy (Part 1)
  102. 9.02: Use a Problem Solving Strategy (Part 2)
  103. 9.03: Solve Money Applications
  104. 9.04: Use Properties of Angles, Triangles, and the Pythagorean Theorem (Part 1)
  105. 9.05: Use Properties of Angles, Triangles, and the Pythagorean Theorem (Part 2)
  106. 9.06: Use Properties of Rectangles, Triangles, and Trapezoids (Part 1)
  107. 9.07: Use Properties of Rectangles, Triangles, and Trapezoids (Part 2)
  108. 9.08: Solve Geometry Applications: Circles and Irregular Figures
  109. 9.09: Solve Geometry Applications: Volume and Surface Area (Part 1)
  110. 9.10: Solve Geometry Applications: Volume and Surface Area (Part 2)
  111. 9.11: Solve a Formula for a Specific Variable
  112. 9.12: Math Models and Geometry (Exercises)
  113. 9.13: Math Models and Geometry (Summary)
  114. 10: Polynomials
  115. 10.01: Add and Subtract Polynomials
  116. 10.02: Use Multiplication Properties of Exponents (Part 1)
  117. 10.03: Use Multiplication Properties of Exponents (Part 2)
  118. 10.04: Multiply Polynomials (Part 1)
  119. 10.05: Multiply Polynomials (Part 2)
  120. 10.06: Divide Monomials (Part 1)
  121. 10.07: Divide Monomials (Part 2)
  122. 10.08: Integer Exponents and Scientific Notation (Part 1)
  123. 10.09: Integer Exponents and Scientific Notation (Part 2)
  124. 10.10: Introduction to Factoring Polynomials
  125. 10.11: Polynomials (Exercises)
  126. 10.12: Polynomials (Summary)
  127. 11: Graphs
  128. 11.01: Use the Rectangular Coordinate System (Part 1)
  129. 11.02: Use the Rectangular Coordinate System (Part 2)
  130. 11.03: Graphing Linear Equations (Part 1)
  131. 11.04: Graphing Linear Equations (Part 2)
  132. 11.05: Graphing with Intercepts (Part 1)
  133. 11.06: Graphing with Intercepts (Part 2)
  134. 11.07: Understand Slope of a Line (Part 1)
  135. 11.08: Understand Slope of a Line (Part 2)
  136. 11.09: Graphs (Exercises)
  137. 11.10: Graphs (Summary)
  138. 12: Appendix
  139. 12.1: Cumulative Review
  140. 12.2: Powers and Roots
  141. 12.3: Geometric Formulas