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Algebra Properties
| Term | Definition |
|---|---|
| Reflexive Property of Equality | a = a |
| Symmetric Property of Equality | If a = b, then b = a. |
| Transitive Property of Equality | If a = b and b = c, then a = c. |
| Distributive Property of Division over Addition | (a + b)/c = a/c + b/c |
| Distributive Property of Division over Subtraction | (a - b)/c = a/c - b/c |
| Additive Identity | 0 |
| Multiplicative Identity | 1 |
| Additive Inverses | a + -a = 0 |
| Commutative Property of Multiplication | a * b = b * a |
| Associative Property of Multiplication | (a * b) * c = a * (b * c) |
| Distributive Property of Multiplication over Subtraction | a(b - c) = a*b - a*c |
| Commutative Property of Addition | a + b = b + a |
| Associative Property of Addition | (a + b) +c = a + (b + c) |
| Multiplicative Inverse | a * 1/a = 1 |
| Distributive Property of Multiplication over Addition | a(b + c) = a*b + a*c |
| Rational numbers | a quotient of two integers, a decimal value that stops or repeats |
| Irrational numbers | a decimal value that never stops and never repeats; the square root of a non-perfect square |
| Integers | {..., -3 ,-2 ,-1 ,0 , 1, 2, 3, ...} |
| Whole numbers | {0 , 1, 2, 3, ...} |
| Natural numbers | {1, 2, 3, ...} |
| Real Numbers | the union of the rational and the irrational numbers |
| Function | a relation in which each input has exactly one output |
| Domain | x-values, input, independent variable |
| Range | y-values, output, dependent variable |
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