Summary: Solving Equations With Decimals

Key Concepts

  • Determine whether a number is a solution to an equation.
    • Substitute the number for the variable in the equation.
    • Simplify the expressions on both sides of the equation.
    • Determine whether the resulting equation is true. If so, the number is a solution. If not, the number is not a solution.
  • Properties of Equality
Subtraction Property of Equality Addition Property of Equality
For any numbers aa , bb , and cc ,

Ifa=bthenac=bcIfa=bthenac=bc

For any numbers aa , bb , and cc ,

Ifa=bthena+c=b+cIfa=bthena+c=b+c

Division of Property of Equality Multiplication Property of Equality
For any numbers aa , bb , and c0c0 ,

Ifa=bthenac=bcIfa=bthenac=bc

For any numbers aa , bb , and cc ,

Ifa=bthenac=bcIfa=bthenac=bc