Algebra

• Function


  The central idea in the study of mathematics
• Representing physical situations and number patterns

  1. Tables

  2. Graphs

  3. Verbal rules

  4. Equations
• Relation


  A correspondence between two variables, x and y, or a set of ordered pairs (x, y) where x is related to y
• Relation examples


  • Price of a plot of land (y) is related to the number of square meters of land bought (x)
  • Monthly wage (y) of an employee is related to the number of hours the employee worked (x)
  • Water bill paid for the month (y) is related to the number of cubic meters of water consumed (x)
• Dependent variable


  The quantity or variable y that depends upon the quantity or variable x
• Predicting water bill


  y= basic charge (x) + other charges
• Relation - defined as a correspondence between two variables x and y or as a set of ordered pairs where x is related to y