Expressions and Equations

Properties

If a is a fraction, then we can find the reciprocal of a by switching the numerator and the denominator.


Example: Name the property or operation used in each step when solving 206 = 11x + 96:

  1. 206 = 11x + 96Given
  2. 206 - 96 = 11x + 96 - 96Subtraction Property of Equality
  3. 110 = 11x + 0Subtraction
  4. 110 = 11xAdditive Identity Property
  5. = Division Property of Equality
  6. 10 = 1xDivision
  7. 10 = xMultiplicative Identity Property
  8. x = 10Symmetric Property