College Technical Math

by Kiersten Purves

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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

Description from LibreTexts.

Publisher
Waukesha County Technical College
Subjects
Mathematics
Licence
CC BY 4.0, as LibreTexts states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

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  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Foundations of Algebra
  7. 1.1: Real Numbers and Algebra Basics
  8. 1.1.1: Use the Language of Algebra
  9. 1.1.1E: Exercises
  10. 1.1.2: Integers
  11. 1.1.2E: Exercises
  12. 1.1.3: Visualize Fractions
  13. 1.1.3E: Exercises
  14. 1.1.4: Decimals
  15. 1.1.4E: Exercises
  16. 1.1.5: The Real Numbers
  17. 1.1.5E: Exercises
  18. 1.1.6: Properties of Real Numbers
  19. 1.1.6E: Exercises
  20. 1.1.H: Homework
  21. 1.2: Percent
  22. 1.2.1: Understand Percent
  23. 1.2.2: Solve General Applications of Percent
  24. 1.2.3: Solve Proportions and their Applications
  25. 1.2.H: Homework
  26. 1.3: Exponents and Roots
  27. 1.3.1: Properties of Exponents and Scientific Notation
  28. 1.3.1E: Exercises
  29. 1.3.2: Simplify Expressions with Roots
  30. 1.3.2E: Exercises
  31. 1.3.H: Homework
  32. 1.4: Scientific Notation
  33. 1.4.1: Integer Exponents and Scientific Notation
  34. 1.4.1E: Exercises
  35. 1.4.H: Homework
  36. 2: Algebraic Operations and Equations
  37. 2.1: Polynomial Addition and Subtraction
  38. 2.1.1: Add and Subtract Polynomials
  39. 2.1.1E: Exercises
  40. 2.1.H: Homework
  41. 2.2: Polynomial Multiplication
  42. 2.2.1: Multiply Polynomials
  43. 2.2.1E: Exercises
  44. 2.2.H: Homework
  45. 2.3: Polynomial Division
  46. 2.3.1: Dividing Polynomials
  47. 2.3.1E: Exercises
  48. 2.3.H: Homework
  49. 2.4: Solving Equations
  50. 2.4.1: Solve Equations Using the Subtraction and Addition Properties of Equality
  51. 2.4.1E: Exercises
  52. 2.4.2: Solve Equations using the Division and Multiplication Properties of Equality
  53. 2.4.2E: Exercises
  54. 2.4.3: Solve Equations with Variables and Constants on Both Sides
  55. 2.4.3E: Exercises
  56. 2.4.4: Solve Proportion and Similar Figure Applications
  57. 2.4.4E: Exercises
  58. 2.4.H: Homework
  59. 2.5: Applications of Equations
  60. 2.5.1: Solve Uniform Motion and Work Applications
  61. 2.5.1E: Exercises
  62. 2.5.2: Solve Mixture Applications
  63. 2.5.2E: Exercises
  64. 2.5.H: Homework
  65. 3: Functions and Their Graphs
  66. 3.1: Relations and Functions
  67. 3.1.1: Relations and Functions
  68. 3.1.1E: Exercises
  69. 3.1.H: Homework
  70. 3.2: Rectangular Coordinate System
  71. 3.2.1: Use the Rectangular Coordinate System
  72. 3.2.1E: Exercises
  73. 3.2.H: Homework
  74. 3.3: Graphing
  75. 3.3.1: Graph Linear Equations in Two Variables
  76. 3.3.1E: Exercises
  77. 3.3.2: Graph with Intercepts
  78. 3.3.2E: Exercises
  79. 3.3.3: Graphs of Functions
  80. 3.3.3E: Exercises
  81. 3.3.H: Homework
  82. 4: Systems of Linear Equations
  83. 4.1: Linear Equations and Slope
  84. 4.1.1: Slope of a Line
  85. 4.1.1E: Exercises
  86. 4.1.2: Find the Equation of a Line
  87. 4.1.2E: Exercises
  88. 4.1.H: Homework
  89. 4.2: Plane Analytic Geometry and Linear Equations
  90. 4.2.1: Distance and Midpoint Formulas and Circles
  91. 4.2.1E: Exercises
  92. 4.2.H: Homework
  93. 4.3: Systems of Equations- Two Equations, Two Unknowns
  94. 4.3.1: Solve Systems of Linear Equations with Two Variables
  95. 4.3.1E: Exercises
  96. 4.3.2: Solve Applications with Systems of Equations
  97. 4.3.2E: Exercises
  98. 4.3.H: Homework
  99. 4.4: Systems of Equations- Three Equations, Three Unknowns
  100. 4.4.1: Solve Systems of Equations with Three Variables
  101. 4.4.1E: Exercises
  102. 4.4.H: Homework
  103. 5: Factoring and Rational Expressions
  104. 5.1: Special Products
  105. 5.1.1: Special Products
  106. 5.1.1E: Exercises
  107. 5.1.H: Homework
  108. 5.2: Greatest Common Factor and Difference of Squares
  109. 5.2.1: Greatest Common Factor and Factor by Grouping
  110. 5.2.1E: Exercises
  111. 5.2.H: Homework
  112. 5.3: Factoring Trinomials
  113. 5.3.1: Factor Trinomials
  114. 5.3.1E: Exercises
  115. 5.3.H: Homework
  116. 5.4: The Sum and Difference of Cubes
  117. 5.4.1: Factor Special Products
  118. 5.4.1E: Exercises
  119. 5.4.H: Homework
  120. 5.5: Simplifying Rational Expressions
  121. 5.5.1: Simplify Rational Expressions
  122. 5.5.1E: Exercises
  123. 5.5.H: Homework
  124. 5.6: Multiply and Divide Rational Expressions
  125. 5.6.1: Multiply and Divide Rational Expressions
  126. 5.6.1E: Exersices
  127. 5.6.H: Homework
  128. 5.7: Add and Subtract Rational Expressions
  129. 5.7.1: Add and Subtract Rational Expressions
  130. 5.7.1E: Exercises
  131. 5.7.H: Homework
  132. 5.8: Complex Fractions
  133. 5.8.1: Simplify Complex Rational Expressions
  134. 5.8.1E: Exercises
  135. 5.8.H: Homework
  136. 6: Rational and Quadratic Equations
  137. 6.1: Rational Equations
  138. 6.1.1: Solve Rational Equations
  139. 6.1.1E: Exercises
  140. 6.1.H: Homework
  141. 6.2: Variation
  142. 6.2.1: Modeling Using Variation
  143. 6.2.H: Homework
  144. 6.3: Solving Quadratics- Factoring
  145. 6.3.1: Quadratic Equations
  146. 6.3.1E: Exercises
  147. 6.3.H: Homework
  148. 6.4: Solving Quadratics- Completing the Square and Quadratic Formula
  149. 6.4.1: Solve Quadratic Equations Using the Square Root Property
  150. 6.4.1E: Exercises
  151. 6.4.2: Solve Quadratic Equations by Completing the Square
  152. 6.4.2E: Exercises
  153. 6.4.3: Solve Quadratic Equations Using the Quadratic Formula
  154. 6.4.3E: Exercises
  155. 6.4.H: Homework
  156. Back Matter
  157. Index
  158. Glossary
  159. Detailed Licensing
  160. Detailed Licensing