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Match Each Definition Below with the Letter of the Corresponding

Question 39

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Match each definition below with the letter of the corresponding property.

Premises:
The solution of an equation is unchanged by subtracting the same number from both sides of the equation.
The solution of an equation is unchanged by adding the same number to both sides of the equation.
The solution of an equation is unchanged by multiplying both sides of the equation by the same nonzero number.
The solution of an equation is unchanged by dividing both sides of the equation by the same nonzero number.
Responses:
 Multiplication Property of Equations \text { Multiplication Property of Equations }
 Subtraction Property of Equations \text { Subtraction Property of Equations }
 Addition Property of Equations \text { Addition Property of Equations }
 The Division Property of Equations \text { The Division Property of Equations }

Correct Answer:

The solution of an equation is unchanged by subtracting the same number from both sides of the equation.
The solution of an equation is unchanged by adding the same number to both sides of the equation.
The solution of an equation is unchanged by multiplying both sides of the equation by the same nonzero number.
The solution of an equation is unchanged by dividing both sides of the equation by the same nonzero number.
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