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Hester Algebra II
Algebra II Vocabulary 1 8132009
| Question | Answer |
|---|---|
| Classification of real numbers | Rational and Irrational |
| A real number that is not rational. | Irrational number |
| With an irrational number, the decimal form of an irrational number neither termainates nor repeats. | True |
| The decimal form of a rational number is either a ____________ or _____________ decimal. | terminating; repeating |
| A mathematical sentence containing one or more variables is called an __________________. | open sentence |
| Can be expressed as a ratio m/n, where m and n are integers and n is not zero. | rational number. |
| Reflexive Property | For any real number a (a=a) |
| set-builder notation | The expression of the solution set of an ineqality {x1x>9} |
| Substituion Property | if a=b, then a can be replaced by b, and b can be replaced by a. |
| Symmetric Property | For all real numbers a & b, if a=b then b=a. |
| Transitive Property | For all real numbers a, b & c, if a=b and b=c, then a=c. |
| Trichotomy Property | For any two real numbers a and b , exactly one of the following is true: a < b , a = b , a > b . |
| Associative Property | the change in grouping of three or more addends or factors does not change their sum or product. |
| union | The graph of a compound inequality containing "or". |
| absolute value | A number's distance from zero on the number line, represented by |x| |
| Algebraic expression | An expression that contains at least one variable. |
| Commutative Property | changing the order of addends does not change the sum. |
| Commutative Property (addition) | a + b = b + a. |
| Commutative Property (multiplication) | a * b=b * a. |
| compound inequality | Two inequalities joined by the word "and" or "or". |
| Distributive Property | a(b + c) = ab + ac or(b + c)a = ba + ca |
| empty set | The solution set for an equation that has no solution, sybolized by {} or |
| Identy Property | a + 0 = a = 0 + a |
| intersection | The graph of a compound inequality containing "and". |
| Inverse Property (addition) | a + (-a) = 0 = (-a) + a |
| Inverse Property (multiplication) | If a not equal 0, then a * 1/a = 1 = 1/a * a |
Created by:
jhester
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