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Which property says that if both sides of a true equation are multiplied by the same quantity then the resulting equation is also true?
It is balance
Why is it not necessary to state a division property of equality?
It follows from the multiplication property of equality. Dividing both sides of an equation by the same number (not by zero, of course) is the same as multiply both sides of the equation by the number's reciprocal. For example, dividing both sides of an equation by 2 is the same as multiplying both sides by 0.5.
What kind of quantities can be added or subtracted from both sides of an equation?
You can add or subtract any quantity on both sides of an equation, without changing the equation's solution set. Just make sure you add or subtract the same thing on both sides.
How can you create an equivalent by using the Properties of Equality?
You can:* Add the same expression to both sides of an equation * Subtract the same expression from both sides * Multiply the same expression (must not be zero) to both sides * Divide both sides by the same expression (must not be zero)
What is the property that states that if you add the same number to both sides of an equation the new equation will have the same solution?
Associative? Commutativity?
