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The Multiplication Property of Equality states that if a equals b, what must also be true for any number c?
Aa-c=b-c
Bac=bc
Ca/c=b/c
Da+c=b-c
Answer & Solution
Correct answer: B. ac=bc
1. The property allows both sides of an equation to be multiplied by the same number c without changing whether it is true.
2. If a equals b, multiplying a and b by c keeps both sides equal to each other.
3. Subtracting c, dividing by c, or mixing addition and subtraction are different properties entirely, not the multiplication property.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.2 Solve Equations using the Division and Multiplication Properties of Equality_
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