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