alleryStart learning →The Addition Property of Equality says that if a equals b, which statement must also be true for any number c?
Aa+c=b-c
Ba+c=b+c
Ca-c=b+c
Da/c=b/c
Answer & Solution
Correct answer: B. a+c=b+c
1. The Addition Property of Equality allows the same number to be added to both sides of an equation without changing whether it is true.
2. If a equals b, adding c to a and to b keeps both sides equal to each other.
3. Adding c to only one side, or dividing both sides instead, would not preserve the equality in the same way.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 2 "The Language of Algebra", section 2.3 Solving Equations Using the Subtraction and Addition Properties of Equality_
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