Chapter 1 Vocabulary
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Created by:
candacebailey on October 3, 2009
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27 terms
Terms | Definitions |
|---|---|
 algebraic expression | an expression that contains addition, subtraction, multiplication or division |
| variables | a letter used to represent a number |
| sum | a quantity obtained by addition |
| difference | a quantity obtained by subtraction |
| product | a quantity obtained by multiplication |
| quotient | a quantity obtained by division |
| PEMDAS | the abbreviation used to stand for the order of operations, Parentheses, Exponents, Multiplication, Division, Addition, Subtraction |
| open sentence | an expression or equation conatining one or more variables |
| replacement set | the set from which values for a variable may be chosen |
| solution set | the set of replacement values for the variable in an open sentence which make the statement true |
| equation | an open sentence that contains an equal sign, = |
| Additive Identity | For any number a, a + 0 = a |
| Multiplicative Identity | For any number a, a(1) = a |
| Multiplicative Property of 0 | For any number a, a(0) = 0 |
| Multiplicative Inverse Property | For every number a/b, a and b not zero, there is exactly one number b/a such that (a/b)(b/a) = 1 |
| Reflexive Property | For any number a, a = a |
| Symmetric Property | For any numbers a and b, if a = b, then b = a |
| Transitive Property | For any numbers a, b, and c, if a = b and b = c, then a = c |
| Substitution Property | If a = b, then a may be replaced by b in any expression |
| Distributive Property | For any numbers a, b, and c, a(b + c) = ab + ac |
| term | a number, a variable, or a product or quotient of numbers and variables |
| like terms | terms that contain the same variables, with corresponding variables having the same powers |
| simplest form | an expression with no like terms or parentheses |
| equivalent expression | two expressions with the same expression |
| Commutative Property | For any numbers a and b, a + b = b + a, a(b) = b(a) |
| Associative Property | For any numbers a, b and c, (a + b) + c = a + (b + c) and (ab)c = a(bc) |
| factors | the elements of a multiplication problem |
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