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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.
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
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.
Created by: Napalm