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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.

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Why is it important to do the same things to both sides of an equation?
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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.

What are both sides of an equation equal to?

An equation has two sides, and each of these sides is equal to the other.

The in an equation connects both sides of the equation?


What can be added to both sides of a linear equation?

Equal quantities may be added to both sides of a linear equation.

Why do you subtract 6 from both sides?

In any equation, regardless of the number adding or subtracting, multiplying or dividing, you must do the same to both sides. This ensures you are not changing the equation. If only one side was done, then the original equation has been altered and is no longer the same as it began. Changing both sides with the same values keeps all things equal.

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.

When you perform the same operations on both sides of the equation the equation stays in what?

The equation remains in 'balance'

What is an algebraic equation?

An algebraic equation is a mathematical equation in which one or both sides is an algebraic expression.

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 does it mean for a chemical equation to be balanced?

That both sides of the equation must be equal

How do you simplify a radical equation?

When in doubt always square both sides of the equation.

What is Both entire sides of a true equation are divided by the same non-zero value then the resulting equation is also true?

Yes because this keeps both sides of the equation in balance.

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