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Math
Term | Definition |
---|---|
Additive Identity Property | When 0 is added to any number, the sum is the number. |
algebra | The branch of mathematics that involves expressions with variables is called algebra. In algebra, the multiplication sign is often omitted. |
algebraic expression | An algebraic expression, such as n + 2, is an expression that contains variables, numbers, and at least one operation. |
arithmetic sequence | In an arithmetic sequence, each term is found by adding the same number to the previous term. |
Associative Property | The Associative Property states that the way in which numbers are grouped when they are added or multiplied does not change the sum or product. |
coefficient | The numerical factor of a multiplication expression that contains a variable is called a coefficient. So, 6 is the coefficient of 6d. |
Commutative Property | The Commutative Property states that the order in which numbers are added or multiplied does not change the sum or product. |
constant | A term without a variable is called a constant. Constant terms are also like terms. |
counterexample | If you can find a counterexample, an example that shows that a conjecture is false, the property does not apply. |
define a variable | To translate a verbal phrase into an algebraic expression, the first step is to define a variable. When you define a variable, you choose a variable to represent an unknown quantity. |
Distributive Property | The Distributive Property states that to multiply a sum or difference by a number, multiply each term inside the parentheses by the number outside the parentheses. |
equivalent expressions | The expressions 2(x + 2) and 2x + 4 are equivalent expressions. No mater what x is, these expressions have the same value. |
factor | |
factored form | |
like terms | Like terms contain the same variables to the same powers. For example, 3x^2 and -7x^2 are like terms. So are 8xy^2 and 12xy^2. But 10x^2z and 22xz^2 are not like terms. |
linear expression | |
monomial | |
Multiplicative Identity Property | When any number is multiplied by 1, the product is the number. |
Multiplicative Property of Zero | When any number is multiplied by 0, the product is 0. |
property | A property is a statement that is true for any number. The following properties are also true for any numbers. |
sequence | A sequence is an ordered list of numbers. |
simplest form | An algebraic expression is in simplest form if it has no like terms and no parentheses. |
term | When addition or subtraction signs separate an algebraic expression into parts, each part is called a term. |
variable | A variable is a symbol that represents an unknown quantity. |