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Why is additive identity property important?
It is the number 0. The identity property allows you to solve equations. If you want to remove a term from one side of an equation to add its additive inverse to both sides.
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.
Which property states that you can multiply both sides of an equation by the same term?
Multiplicative identity
What do you do to get rid of negatives in equations?
You have to multiply both sides (the entire thing) by -1. It's complicated, so save it for when you have a trinomial or less on both sides.
What is the definition of subtraction property of equality?
The addition of the opposite, to both sides of the equation. keep it equal
