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philomath_algebra1c_vocab_cumulative
cumulative list of vocabulary for algebra 1c
34
Mathematics
9th Grade
05/09/2013

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Term
base
Definition
the number, variable, or expression in a power that is multiplied by itself a number of times indicated by the exponent
Term
exponent
Definition
the number, variable or expression in a power that indicates how many times the base is multiplied by itself
Term
power
Definition
an expression composed of a base and an exponent
Term
product
Definition
the result of multiplying expressions
Term
quotient
Definition
the result of dividing one expression by another
Term
expression
Definition
a combination of numbers, variables and operators--but no equal sign
Term
equation
Definition
a mathematical sentence built from expressions using one or more equal signs
Term
simplify
Definition
to use the rules of arithmetic and algebra to rewrite an expression as simply as possible
Term
substitute
Definition
to replace each value of a variable in an expression or equation with another expression
Term
evaluate
Definition
to substitute numerical values for all variables in an expression and then compute the value of the expression
Term
commutative property
Definition
property that states that the order in which two numbers are added or multiplied does not change their sum or product
Term
factor
Definition
an expression by which you can divide another expression without leaving a remainder
Term
integer
Definition
a natural number, the opposite of a natural number, or 0
Term
scientific notation
Definition
a number written as a product of two factors—a number from 1 to 10, including 1 but not including 10, and a power of 10.
Term
exponential function
Definition
a function of the form y = axb in which a base number is raised to a variable exponent.
Term
exponential growth
Definition

a situation modeled by the formula A = P•rt

or A = P (1 + r)t in which r or 1 + r is greater than 1

Term
exponential decay
Definition

a situation modeled by the formula A = P•rt

or A = P(1 + r)t in which r or 1 + r is less than 1

Term
monomial
Definition
an algebraic expression that is either a constant, a variable, or a product of a constant and one or more variables.
Term
coefficient
Definition
a number that is multiplied by a variable.
Term
distributive property
Definition

property that states that for all numbers a, b, and c:

a(c) = ab + ac and (b + c)a = ba + ca,

and a(b - c) = ab - ac and (b - c)a = baca.

Term
polynomial
Definition

An expression made up of one or more terms combined by the operations of addition and subtraction. Each term consists of a constant multiplied by whole-number powers of variables.

 

Examples

3x2 + 2x + 7

x4 + 5

xy + 3x + 4y + 12

Term
monomial
Definition

a one-term polynomial

 

Examples

2n

x3

ab

Term
binomial
Definition

a two-term polynomial

 

Examples

2ab2 − 8ab

x + 5

ab + ac

Term
trinomial
Definition

a three-term polynomial

 

Examples

x2 + 3x +2

a2b + ab2 + 12

3 − 2x − 1x2

Term
degree
Definition
the highest power of a variable in a polynomial
Term
quadratic
Definition
a term used to refer to a 2nd-degree polynomial
Term
cubic
Definition
a term used to refer to a 3rd-degree polynomial
Term
quartic
Definition
a term used to refer to a 4th-degree polynomial
Term
factor
Definition
A number or polynomial that is multiplied by another number or polynomial to form a product. To __________ a polynomial is to rewrite it as a product of two or more other polynomials.
Term
perfect square
Definition
a number that results when you multiply a natural number by itself
Term
radical expression
Definition
an expression that contains a square root
Term
square root
Definition
a number you multiply by itself to get the first number
Term
zero of a function
Definition
A value of x that results in a y value of 0. On a graph of the function the zeros will be x-intercepts.
Term
zero-product property
Definition
the mathematical property that states that if the product of two or more expressions is equal to zero, then at least one of the expressions must equal zero
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