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What is an equation called that is not always true?
Seems to me like if it's not always true, then it's no equation.
What a word of An equation that is always true?
Identity equation
What is an equation that is true regardless of the values of the variables called?
An equation that is always true is an identity.
Which property says that if both sides of a true equation are multiplied by the same quantity then the resulting equation is also true?
It is balance
is this statement true or falseThe Addition Property of Equality states that an equation remains true if you add the same number to both sides of the equation.?
true
What is it called when an equation is always true?
In math, an equation that is always true is called an identity.
What is an equation called that is not always true?
Seems to me like if it's not always true, then it's no 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.
What a word of An equation that is always true?
Identity equation
What is an equation that is true regardless of the values of the variables called?
An equation that is always true is an identity.
Which property says that if both sides of a true equation are multiplied by the same quantity then the resulting equation is also true?
It is balance
is this statement true or falseThe Addition Property of Equality states that an equation remains true if you add the same number to both sides of the equation.?
true
If both entire sides of a true equation are divided by the same non-zero value then the resulting equation is also true?
Yes
When both sides of the equation are squared the resulting equation is?
Remains true. But this does not apply to square roots.
Is an equation always equal or true?
No, it's not
How do you know if a solution is always true or sometimes true?
We call a solution any value of the variable which satisfies the given equation. If the number of values you get (which always satisfy the equation) is a finite number, then the equation is sometimes true (meaning it is true only for those values you got). ex. x + 3 = 5 is true only when x is 2. x2 - 5 = 4 is true only when x is -3 or 3. √x = 7 is true only when x is 49. (check:) 2(3x - 1) = 6x - 2 is always true, meaning for any value that x can take on, both sides becomes equal when x is replaced by it. 2(3x - 1) = 6x - 26x - 2 = 6x - 2 (both sides seems to be equal) , or subtract 6x and add 2 to both sides 0 = 0 a true statement. Since 0 = 0 is an equivalent statement to the original equation and it is a true one, then the original equation must be also a true statement. Thus, there are infinitely many solutions for the given equation. Therefore, the given equation is always true. Sometimes, before you start to solve an equation, you need to exclude some value(s) for the variable of being a solution, because they can make the equation undefined. For example, if the variable happens to be in the denominator, you have to exclude all the values of the variable that make the denominator equal to zero.
is this statement true or falseThe Multiplication Property of Equality states that an equation remains true if you divide both sides of the equation by the same number.?
false
