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# Equation Properties

### Properties used to solve algebraic equations

TermDefinition
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)
Created by: BurgerMissA

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