A dependent variable is one in whose experimental or analytical value is determined by the value of the independent variable.
An independent variable is not determined by any other variable, but rather is an input value.
For example in the equation y = 3x y is dependent and determined by the value of the independent variable x
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It means that one variable (the so-called "dependent" variable) is calculated on the basis of the other variable (the so-called "independent" variable).
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sum means the answer of a math problem
in math terms reduce means to simplify
It is an abbreviation for quart.
Justification in math terms means to show how you solved the math problem. Lay out the problem and show step-by-step how the problem is solved.