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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
Why is it important to do the same things to both sides of an equation?
In an equation, the left side has the same value as the right side. The importance of doing the same thing to both sides is to keep the value of both sides the same so the equation does not change.
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 can you multiply or divide both sides of an equation by the same number and still have the equation be true?
It was an equation to start with. That is, both sides were equal. So, if you do the same thing to each side they will still be equal. You can also add or subtract the same number from each side and they will be equal. As long as you treat both sides the same they will remain the alike -- that is, they will remain equal.
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.
The definition of division property of equality?
I think its a property in which both sides of an equation are equal either by adding, subtracting, multiplication, or division.
What are the steps to solving equations and inequalities?
Just keep doing the same thing to both sides of the equation at every step.
When you perform the same operations on both sides of the equation the equation stays in what?
The equation remains in 'balance'
When you perform the same operation on both sides of the equation the equation stays in what?
The equation remains in 'balance'
When you perform the same operation on both sides of the equation the equation stays in the what?
The equation remains in 'balance'
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
Why is it important to keep both sides of the equation equal?
If both sides of an equation are not equal, it won't be an equation any more! In solving equations, the strategy is to change both sides in the same way, so that an 'equivalent' equation is produced. An equivalent equation has the same solution as the original equation. You are aiming for an equation in which the variable is alone on one side. The quantity on the other side is the solution.
