AlgebraLab

Algebra I Recipe: Variables in Algebra

By G Redden

A. Definitions
  1. variable – any letter representing a number.
  2. algebraic expression – an expression having numbers and variables with operations,
    such as 2x - y.
B. How to Evaluate an Algebraic Expression
  1. Substitute the given value in for each variable.
  2. Perform the operations the same as evaluating numerical expressions in Sec. 1.1.
1.
Evaluate 2g + 5 when g = 4.
2.
Evaluate 14(n + 1) when n = 2.
3.
Evaluate (x/7) + 16 when x = 14.
C. Formulas
  1. Interest Earned I = Prt
    • Interest = Principal · rate · time
    • Rate – must be in decimal form
    • Time – must be in years such as 6 months = 0.5 years
  2. Temperature ºF = (9/5)ºC + 32
    • ºF is degrees Fahrenheit
    • ºC is degrees Celsius
  3. Distance d = rt
    • distance = rate · time
    • time – must be in hours such as 15 minutes = 0.25 hours
Companion Exercises Practice Problems