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College Technical Math

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College Technical Math

This text introduces the foundational mathematical concepts and algebraic skills needed for success in technical programs. Topics include the language of algebra, percent and proportion, solving linear, quadratic, and rational equations, graphing linear equations, rearranging formulas, solving systems of equations, functions and performing operations on polynomials. The material emphasizes problem-solving and includes some applications relevant to technical fields. This text was developed specif

Mathematics
Author
Kiersten Purves
Publisher
Waukesha County Technical College
Source
LibreTexts
License
CC BY
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 150 sections
  1. 01: Foundations of Algebra
  2. 1.01: Real Numbers and Algebra Basics
  3. 1.1.01: Use the Language of Algebra
  4. 1.1.1E: Exercises
  5. 1.1.02: Integers
  6. 1.1.2E: Exercises
  7. 1.1.03: Visualize Fractions
  8. 1.1.3E: Exercises
  9. 1.1.04: Decimals
  10. 1.1.4E: Exercises
  11. 1.1.05: The Real Numbers
  12. 1.1.5E: Exercises
  13. 1.1.06: Properties of Real Numbers
  14. 1.1.6E: Exercises
  15. 1.1.H: Homework
  16. 1.02: Percent
  17. 1.2.01: Understand Percent
  18. 1.2.02: Solve General Applications of Percent
  19. 1.2.03: Solve Proportions and their Applications
  20. 1.2.H: Homework
  21. 1.03: Exponents and Roots
  22. 1.3.01: Properties of Exponents and Scientific Notation
  23. 1.3.1E: Exercises
  24. 1.3.02: Simplify Expressions with Roots
  25. 1.3.2E: Exercises
  26. 1.3.H: Homework
  27. 1.04: Scientific Notation
  28. 1.4.01: Integer Exponents and Scientific Notation
  29. 1.4.1E: Exercises
  30. 1.4.H: Homework
  31. 02: Algebraic Operations and Equations
  32. 2.01: Polynomial Addition and Subtraction
  33. 2.1.01: Add and Subtract Polynomials
  34. 2.1.1E: Exercises
  35. 2.1.H: Homework
  36. 2.02: Polynomial Multiplication
  37. 2.2.01: Multiply Polynomials
  38. 2.2.1E: Exercises
  39. 2.2.H: Homework
  40. 2.03: Polynomial Division
  41. 2.3.01: Dividing Polynomials
  42. 2.3.1E: Exercises
  43. 2.3.H: Homework
  44. 2.04: Solving Equations
  45. 2.4.01: Solve Equations Using the Subtraction and Addition Properties of Equality
  46. 2.4.1E: Exercises
  47. 2.4.02: Solve Equations using the Division and Multiplication Properties of Equality
  48. 2.4.2E: Exercises
  49. 2.4.03: Solve Equations with Variables and Constants on Both Sides
  50. 2.4.3E: Exercises
  51. 2.4.04: Solve Proportion and Similar Figure Applications
  52. 2.4.4E: Exercises
  53. 2.4.H: Homework
  54. 2.05: Applications of Equations
  55. 2.5.01: Solve Uniform Motion and Work Applications
  56. 2.5.1E: Exercises
  57. 2.5.02: Solve Mixture Applications
  58. 2.5.2E: Exercises
  59. 2.5.H: Homework
  60. 03: Functions and Their Graphs
  61. 3.01: Relations and Functions
  62. 3.1.01: Relations and Functions
  63. 3.1.1E: Exercises
  64. 3.1.H: Homework
  65. 3.02: Rectangular Coordinate System
  66. 3.2.01: Use the Rectangular Coordinate System
  67. 3.2.1E: Exercises
  68. 3.2.H: Homework
  69. 3.03: Graphing
  70. 3.3.01: Graph Linear Equations in Two Variables
  71. 3.3.1E: Exercises
  72. 3.3.02: Graph with Intercepts
  73. 3.3.2E: Exercises
  74. 3.3.03: Graphs of Functions
  75. 3.3.3E: Exercises
  76. 3.3.H: Homework
  77. 04: Systems of Linear Equations
  78. 4.01: Linear Equations and Slope
  79. 4.1.01: Slope of a Line
  80. 4.1.1E: Exercises
  81. 4.1.02: Find the Equation of a Line
  82. 4.1.2E: Exercises
  83. 4.1.H: Homework
  84. 4.02: Plane Analytic Geometry and Linear Equations
  85. 4.2.01: Distance and Midpoint Formulas and Circles
  86. 4.2.1E: Exercises
  87. 4.2.H: Homework
  88. 4.03: Systems of Equations- Two Equations Two Unknowns
  89. 4.3.01: Solve Systems of Linear Equations with Two Variables
  90. 4.3.1E: Exercises
  91. 4.3.02: Solve Applications with Systems of Equations
  92. 4.3.2E: Exercises
  93. 4.3.H: Homework
  94. 4.04: Systems of Equations- Three Equations Three Unknowns
  95. 4.4.01: Solve Systems of Equations with Three Variables
  96. 4.4.1E: Exercises
  97. 4.4.H: Homework
  98. 05: Factoring and Rational Expressions
  99. 5.01: Special Products
  100. 5.1.01: Special Products
  101. 5.1.1E: Exercises
  102. 5.1.H: Homework
  103. 5.02: Greatest Common Factor and Difference of Squares
  104. 5.2.01: Greatest Common Factor and Factor by Grouping
  105. 5.2.1E: Exercises
  106. 5.2.H: Homework
  107. 5.03: Factoring Trinomials
  108. 5.3.01: Factor Trinomials
  109. 5.3.1E: Exercises
  110. 5.3.H: Homework
  111. 5.04: The Sum and Difference of Cubes
  112. 5.4.01: Factor Special Products
  113. 5.4.1E: Exercises
  114. 5.4.H: Homework
  115. 5.05: Simplifying Rational Expressions
  116. 5.5.01: Simplify Rational Expressions
  117. 5.5.1E: Exercises
  118. 5.5.H: Homework
  119. 5.06: Multiply and Divide Rational Expressions
  120. 5.6.01: Multiply and Divide Rational Expressions
  121. 5.6.1E: Exersices
  122. 5.6.H: Homework
  123. 5.07: Add and Subtract Rational Expressions
  124. 5.7.01: Add and Subtract Rational Expressions
  125. 5.7.1E: Exercises
  126. 5.7.H: Homework
  127. 5.08: Complex Fractions
  128. 5.8.01: Simplify Complex Rational Expressions
  129. 5.8.1E: Exercises
  130. 5.8.H: Homework
  131. 06: Rational and Quadratic Equations
  132. 6.01: Rational Equations
  133. 6.1.01: Solve Rational Equations
  134. 6.1.1E: Exercises
  135. 6.1.H: Homework
  136. 6.02: Variation
  137. 6.2.01: Modeling Using Variation
  138. 6.2.H: Homework
  139. 6.03: Solving Quadratics- Factoring
  140. 6.3.01: Quadratic Equations
  141. 6.3.1E: Exercises
  142. 6.3.H: Homework
  143. 6.04: Solving Quadratics- Completing the Square and Quadratic Formula
  144. 6.4.01: Solve Quadratic Equations Using the Square Root Property
  145. 6.4.1E: Exercises
  146. 6.4.02: Solve Quadratic Equations by Completing the Square
  147. 6.4.2E: Exercises
  148. 6.4.03: Solve Quadratic Equations Using the Quadratic Formula
  149. 6.4.3E: Exercises
  150. 6.4.H: Homework