Important T&D (Terms and Definitions) for Algebra:
- Algebraic Equation - an equation that can contain one, two or even more variables.
- Equation - has two expressions that are equal to each other.
- Algebraic Expression - an expression that, like the algebraic equation, can contain one, two or more variables.
- Expression - a phrase representing a number.
- Variable - a symbol (usually a letter) that is used to represent the (missing) value or number.
- Coefficient - the number that is multiplied by the variable.
- Example: In the term 5x, the variable x has a coefficient of 5.
- Constant - a term with no variables
- Like Terms - terms with the same variables and possibly exponents, but sometimes with different coefficients.
- Null Set or Empty Set - denoted by the symbol Ø, it is a set that has no members, hence its name.
- Replacement Set - set with values from which to find a solution.
- Simplified Form - the result of the expression once all like terms in the expression had already been combined and is still equal to the original expression.
- Reciprocal - the reciprocal of a number n is one over that number or 1/n, and once a number is multiplied by its reciprocal, the resulting product should be equal to 1.
- Solution - any value for the variable that makes the equation true.
- Solution Set - a set that contains the variables that will make the stated equation true.
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