According to the Addition Property of Equality, if a = b, what can be added to both sides?

The Addition Property of Equality states that if two quantities are equal, you can add the same value to both sides of the equation without changing the equality. In this case, if ( a = b ), you can add any constant value, represented as ( c ), to both sides, leading to the equation ( a + c = b + c ).

This property holds true for any constant; it can be a positive number, a negative number, or zero. This flexibility makes it a fundamental principle in algebra, allowing for the manipulation of equations to maintain equivalence.

While adding a specific positive or negative number could also work in some contexts, the inclusion of variable values or constants is more expansive and applicable in a wider range of situations in algebra, making the correct choice the addition of a constant value ( c ).