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=bthena−c=b−cIfa=bthena−c=b−c |
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 c≠0c≠0 ,
Ifa=bthenac=bcIfa=bthenac=bc |
For any numbers aa , bb , and cc ,
Ifa=bthena⋅c=b⋅cIfa=bthena⋅c=b⋅c |
Candela Citations
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