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# Algebraic Vocabulary

### Algebraic Relationship Vocabulary

TermDefinition
Associative Property No Matter how numbers are grouped, the answer will always be the same
Associative Example (4 + 2) + 6 is the same as 4 + (2 + 6)
Associative Example (2 x 3) x 4 is the same as 2 x (3 x 4)
Base Number A number to be raised to a power
Base Number Example 10 to the 1 Power = 10
Base Number Example 10 to the 2 Power = 10 x 10
Commutative Property In addition and multiplication, Numbers may be added or multiplied together in any order
Commutative Example A + B = B + A
Commutative Example A x B = B x A
Distributive Property Multiplying a number is the same as multiplying its addends by the number then adding the products
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
Equation A mathematical statement containing an equals sign, to show that two expressions are equal
Equation Example 2 + 2 = 4
Equation Example 5x + 10 = 35
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
Exponent Example 5 to the 4 power = 5 x 5 x 5 x 5 = 625
Expression Is one or a group of terms and may include variables, constants, operations and grouping symbols.
Expression Example 3(X + Y) - 8 + 2x
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.
Identity Property Example 12 + 0 = 12 , X + 0 = X , 6x + 0 = 6x
Identity Property Example 12 x 1 = 12 , X x 1 = X , 6X x 1 = 6X
Inverse Operations Opposite, Reverse operations - Addition and Subtraction Multiplication and Division
Inverse Operations Example 4 + 2 = 6 --------> 6 - 4 = 2
Inverse Operations Example 2 + 4 = 6 ---------> 6 - 2 = 4
Variable A quantity that can change or vary, taking on different values. It may be represented by any letter of the alphabet.
Dependent Variable The " Output " value of a function as in Y = X squared ---- Y is the Dependent variable
Independent Variable The " Input " Value of a function as in Y = X squared ----- X is the dependent variable
Created by: dteague1111