Understanding Properties of Equality

What should you do to maintain balance if you double the amount on one side of a pan balance?

• Add the same amount to the other side

• Subtract the same amount from the other side

• Halve the amount on the other side

• Double the amount on the other side

According to the multiplication property of equality, what must be done to both sides of an equation to keep it balanced?

• Add the same value

• Multiply by the same value

• Divide by the same value

• Subtract the same value

If a = b, what does the multiplication property of equality imply?

• a * c = b * c

• a + c = b + c

• a / c = b / c

• a - c = b - c

What does the division property of equality state about dividing both sides of an equation?

• It makes the equation false

• It keeps the equation true

• It changes the equation

• It has no effect on the equation

Why is it important to perform the same operation on both sides of an equation?

• To simplify the equation

• To change the equation's solution

• To ensure the equation remains balanced

• To make the equation more complex