The branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations.
There is none because different colleges teach different topics in Algebra.
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Alg.
a set is defined as a collection of objects. In algebra, it is usually a collection of numbers and often a collection of solutions.
A degree usually refers to the highest power of a variable in a polynomial.