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Equation Properties
Properties used to solve algebraic equations
Term | Definition |
---|---|
Additive Inverse | When you add a number and its opposite you will get a sum of zero. Ex. 4 + -4 = 0 |
Multiplicative Inverse | When you multiply a number by its reciprocal you will get a product of one. Ex. 4 x (1/4) = 1 |
Additive Identity | When you add zero to a number the number remains the same Ex. 4 + 0 = 4 |
Multiplicative Identity | When you multiply a number by 1 the number remains the same. Ex. 5 x 1 = 5 |
Addition Property of Equality | If two expressions are equal, and you add the same value to both expressions, the two expressions remain equal. Ex. (9 = 9) (9 + 2 = 9 + 2) (11 = 11) |
Subtraction Property of Equality | If two expressions are equal, and you subtract the same value from both expressions, the two expressions remain equal. Ex. (9 = 9) (9 - 2 = 9 - 2) (7 = 7) |
Multiplication Property of Equality | If two expressions are equal, and you multiply the same value to both expressions, the two expressions remain equal. Ex. (9 = 9) (9 x 2 = 9 x 2) (18 = 18) |
Division Property of Equality | If two expressions are equal, and you divide both expressions by the same number, the two expressions remain equal. Ex. (8 = 8) (8 / 2 = 8 / 2) (4 = 4) |