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How can you make changes to an equation without changing its value?
Make sure you do the same thing to both sides of the equation.
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.
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 are the steps to solving equations and inequalities?
Just keep doing the same thing to both sides of the equation at every step.
Can you cancel a numerator from 1 term and a denominator from the other?
No, you must always do the same thing to both sides of an equation or to the numerator and the denominator
