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Variable Equation.
Equations typically always have (a) variable(s) so it's kind of like asking, "What a word that has letters called?" It's not quite the same, the question is valid. I'm just pointing out that it's a little redundant to say the following, but the best match for what you need would probably be: variable equation.
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What are the values of the variable that make an equation true called?
They are called the "solutions" of the equation.
What is an equation which contains a variable called?
An open sentence.
What is the letter in a algebra equation called?
It is the unknown variable
How do I plug in a variable?
You cannot plug in a variable, what you do is plug in the value for a variable. If you know the value of the variable in an equation (or formula), the process of replacing that variable whenever it appears in the equation by its value is called plugging in the value for the variable.
Why are linear equations also called first-degree equation?
Equations can be classified according to the highest power of the variable. Since the highest power of the variable in a linear equation is one, it is also called a first-order equation.
