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Algebraic Vocabulary
Algebraic Relationship Vocabulary
| Term | Definition |
|---|---|
| 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
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