Prealgebra

by OpenStax

Read here Read at LibreTextsPDF

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
  8. 1.2: Introduction to Whole Numbers
  9. 1.3: Add Whole Numbers
  10. 1.4: Subtract Whole Numbers
  11. 1.5: Multiply Whole Numbers
  12. 1.6: Divide Whole Numbers
  13. 1.7: Chapter Review
  14. 1.7.1: Key Terms
  15. 1.7.2: Key Concepts
  16. 1.8: Exercises
  17. 1.8.1: Review Exercises
  18. 1.8.2: Practice Test
  19. 2: Introduction to the Language of Algebra
  20. 2.1: Introduction to the Language of Algebra
  21. 2.2: Use the Language of Algebra
  22. 2.3: Evaluate, Simplify, and Translate Expressions
  23. 2.4: Solving Equations Using the Subtraction and Addition Properties of Equality
  24. 2.5: Find Multiples and Factors
  25. 2.6: Prime Factorization and the Least Common Multiple
  26. 2.7: Chapter Review
  27. 2.7.1: Key Terms
  28. 2.7.2: Key Concepts
  29. 2.8: Exercises
  30. 2.8.1: Review Exercises
  31. 2.8.2: Practice Test
  32. 3: Integers
  33. 3.1: Introduction to Integers
  34. 3.2: Introduction to Integers (continued)
  35. 3.3: Add Integers
  36. 3.4: Subtract Integers
  37. 3.5: Multiply and Divide Integers
  38. 3.6: Solve Equations Using Integers; The Division Property of Equality
  39. 3.7: Chapter Review
  40. 3.7.1: Key Terms
  41. 3.7.2: Key Concepts
  42. 3.8: Exercises
  43. 3.8.1: Review Exercises
  44. 3.8.2: Practice Test
  45. 4: Fractions
  46. 4.1: Introduction to Fractions
  47. 4.2: Visualize Fractions
  48. 4.3: Multiply and Divide Fractions
  49. 4.4: Multiply and Divide Mixed Numbers and Complex Fractions
  50. 4.5: Add and Subtract Fractions with Common Denominators
  51. 4.6: Add and Subtract Fractions with Different Denominators
  52. 4.7: Add and Subtract Mixed Numbers
  53. 4.8: Solve Equations with Fractions
  54. 4.9: Chapter Review
  55. 4.9.1: Key Terms
  56. 4.9.2: Key Concepts
  57. 4.10: Exercises
  58. 4.10.1: Review Exercises
  59. 4.10.2: Practice Test
  60. 5: Decimals
  61. 5.1: Introduction to Decimals
  62. 5.2: Decimals
  63. 5.3: Decimal Operations
  64. 5.4: Decimals and Fractions
  65. 5.5: Solve Equations with Decimals
  66. 5.6: Averages and Probability
  67. 5.7: Ratios and Rate
  68. 5.8: Simplify and Use Square Roots
  69. 5.9: Chapter Review
  70. 5.9.1: Key Terms
  71. 5.9.2: Key Concepts
  72. 5.10: Exercises
  73. 5.10.1: Review Exercises
  74. 5.10.2: Practice Test
  75. 6: Percents
  76. 6.1: Introduction to Percents
  77. 6.2: Understand Percent
  78. 6.3: Solve General Applications of Percent
  79. 6.4: Solve Sales Tax, Commission, and Discount Applications
  80. 6.5: Solve Simple Interest Applications
  81. 6.6: Solve Proportions and their Applications
  82. 6.7: Chapter Review
  83. 6.7.1: Key Terms
  84. 6.7.2: Key Concepts
  85. 6.8: Exercises
  86. 6.8.1: Review Exercises
  87. 6.8.2: Practice Test
  88. 7: The Properties of Real Numbers
  89. 7.1: Introduction to the Properties of Real Numbers
  90. 7.2: Rational and Irrational Numbers
  91. 7.3: Commutative and Associative Properties
  92. 7.4: Distributive Property
  93. 7.5: Properties of Identity, Inverses, and Zero
  94. 7.6: Systems of Measurement
  95. 7.7: Chapter Review
  96. 7.7.1: Key Terms
  97. 7.7.2: Key Concepts
  98. 7.8: Exercises
  99. 7.8.1: Review Exercises
  100. 7.8.2: Practice Test
  101. 8: Solving Linear Equations
  102. 8.1: Introduction to Solving Linear Equations
  103. 8.2: Solve Equations Using the Subtraction and Addition Properties of Equality
  104. 8.3: Solve Equations Using the Division and Multiplication Properties of Equality
  105. 8.4: Solve Equations with Variables and Constants on Both Sides)
  106. 8.5: Solve Equations with Fraction or Decimal Coefficients
  107. 8.6: Chapter Review
  108. 8.6.1: Key Terms
  109. 8.6.2: Key Concepts
  110. 8.7: Exercises
  111. 8.7.1: Review Exercises
  112. 8.7.2: Practice Test
  113. 9: Math Models and Geometry
  114. 9.1: Introduction
  115. 9.2: Use a Problem Solving Strategy
  116. 9.3: Solve Money Applications
  117. 9.4: Use Properties of Angles, Triangles, and the Pythagorean Theorem
  118. 9.5: Use Properties of Rectangles, Triangles, and Trapezoids
  119. 9.6: Solve Geometry Applications- Circles and Irregular Figures
  120. 9.7: Solve Geometry Applications- Volume and Surface Area
  121. 9.8: Solve a Formula for a Specific Variable
  122. 9.9: Chapter Review
  123. 9.9.1: Key Terms
  124. 9.9.2: Key Concepts
  125. 9.10: Exercises
  126. 9.10.1: Review Exercises
  127. 9.10.2: Practice Test
  128. 10: Polynomials
  129. 10.1: Introduction to Polynomials
  130. 10.2: Add and Subtract Polynomials
  131. 10.3: Use Multiplication Properties of Exponents
  132. 10.4: Multiply Polynomials
  133. 10.5: Divide Monomials
  134. 10.6: Integer Exponents and Scientific Notation
  135. 10.7: Introduction to Factoring Polynomials
  136. 10.8: Chapter Review
  137. 10.8.1: Key Terms
  138. 10.8.2: Key Concepts
  139. 10.9: Exercises
  140. 10.9.1: Review Exercises
  141. 10.9.2: Practice Test
  142. 11: Graphs
  143. 11.1: Introduction to Graphs
  144. 11.2: Use the Rectangular Coordinate System
  145. 11.3: Graphing Linear Equations
  146. 11.4: Graphing with Intercepts
  147. 11.5: Understand Slope of a Line
  148. 11.6: Chapter Review
  149. 11.6.1: Key Terms
  150. 11.6.2: Key Concepts
  151. 11.7: Exercises
  152. 11.7.1: Review Exercises
  153. 11.7.2: Practice Test
  154. 12: Appendix
  155. 12.1: Cumulative Review
  156. 12.2: Powers and Roots
  157. 12.3: Geometric Formulas
  158. 12.4: Answer Key
  159. 12.4.1: Chapter 1
  160. 12.4.2: Chapter 2
  161. 12.4.3: Chapter 3
  162. 12.4.4: Chapter 4
  163. 12.4.5: Chapter 5
  164. 12.4.6: Chapter 6
  165. 12.4.7: Chapter 7
  166. 12.4.8: Chapter 8
  167. 12.4.9: Chapter 9
  168. 12.4.10: Chapter 10
  169. 12.4.11: Chapter 11
  170. Back Matter
  171. Index
  172. Glossary
  173. Detailed Licensing
  174. Detailed Licensing