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Algebraic Relationship Vocabulary

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Term
Definition
Associative Property   No Matter how numbers are grouped, the answer will always be the same  
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Associative Example   (4 + 2) + 6 is the same as 4 + (2 + 6)  
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Associative Example   (2 x 3) x 4 is the same as 2 x (3 x 4)  
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Base Number   A number to be raised to a power  
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Base Number Example   10 to the 1 Power = 10  
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Base Number Example   10 to the 2 Power = 10 x 10  
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Commutative Property   In addition and multiplication, Numbers may be added or multiplied together in any order  
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Commutative Example   A + B = B + A  
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Commutative Example   A x B = B x A  
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Distributive Property   Multiplying a number is the same as multiplying its addends by the number then adding the products  
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Distributive Example   6 x 9 is the same as 6 x (4 x 5) is the same as (6 x 4) + (6 x 5) = 24 + 30 = 54  
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Equation   A mathematical statement containing an equals sign, to show that two expressions are equal  
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Equation Example   2 + 2 = 4  
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Equation Example   5x + 10 = 35  
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Exponent   Is a small number placed to the upper right of a base number which shows how many copies of a base number are multiplied together  
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Exponent Example   5 to the 4 power = 5 x 5 x 5 x 5 = 625  
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Expression   Is one or a group of terms and may include variables, constants, operations and grouping symbols.  
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Expression Example   3(X + Y) - 8 + 2x  
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Identity Property   When zero is added to a number the result is the number itself. When one is multiplied to a number the result is the number itself.  
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Identity Property Example   12 + 0 = 12 , X + 0 = X , 6x + 0 = 6x  
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Identity Property Example   12 x 1 = 12 , X x 1 = X , 6X x 1 = 6X  
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Inverse Operations   Opposite, Reverse operations - Addition and Subtraction Multiplication and Division  
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Inverse Operations Example   4 + 2 = 6 --------> 6 - 4 = 2  
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Inverse Operations Example   2 + 4 = 6 ---------> 6 - 2 = 4  
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Variable   A quantity that can change or vary, taking on different values. It may be represented by any letter of the alphabet.  
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Dependent Variable   The " Output " value of a function as in Y = X squared ---- Y is the Dependent variable  
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Independent Variable   The " Input " Value of a function as in Y = X squared ----- X is the dependent variable  
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