# math final

## 51 terms

One of the four regions formed by the intersection of the axes in a rectangular coordinate system

rise over run

### standard form

Ax + By=C,( where A, B, and C are integers, and A B are both not zero)

### point slope form

an equation of the form y - y1 = m(x - x1)

y=mx+b

### coefficient

the numerical factor in a monomial

### monomial

a constant (a number), a variable, or a product of a constant and one or more variables

### polynomial

a monomial or a sum of monomials

### degree of a monomial

the sum of the degree of the variables

### similar (or like) monomials

monomials that differ only in thier coefficients

### degree of a polynomial

the greatest of the degrees of its terms after it has been simplified

### function

a relation in which different ordered pairs have different FIRST coordinates

### relation

any set of ordered pairs

### coordinate

the ordered pair of real numbers associated with each point in the xy- coordinate plane

### prime number

an interger other then 1 whose only positive interger factor are itself and 1

### prime factorization

expressing a positive integer as a product of primes

### GCF

the common factor that has the greatest degree and greatest numerical coefficient

### LCM

the common multiple having the least degree adn the least positive numerical coefficient

### zero-product property

ab=0 if and only if a=0 or b=0

### real numbers

the set consisting of all the rational and irrational numbers

### opposites

on a number line, numbers that are the same distance from zero but on opposite sides

### adsolute value of a number

on a number line, the distance between the graph of a number an zero

### commutative property

the property demonstrated in the following: (4+5)+6=(5+4)+6

### associative property

the property demonstrated in the following: (4 3) 5= 4 (3 5)

### distributive property

the property demonstrated in the following simplification: 4(x-2)=4x-8

### conjunction

a sentence formed by joining two sentences with the word AND

### disjunction

a sentenced formed by joining two sentences with the word OR

### origin

the graph of zero on a number line

### variable

a symbol, usually a letter, used to represent one or more numbers

### power

a product of equal factors. the repeated facotr is the base

### similar (or like) terms

terms with the same variables and exponents

### extraneous root

a root of a transformed equation that is not a root of teh original equation

### rational equation

for example, x+1/x²-4 =¼

for example, √x +1=5

radicals with the same index and radicand

### complex fraction

for example, 2⁻¹ +2⁻2 / 2⁻¹- 2

### irrational numbers

a number that when written in decimal form, is infinite and nonrepeating

### rational number

a number that can be written as a fraction with an interger in the numerator and a nonzero interger in the denominator

### complex number

for example, 3-2i

for example, 5i

### zero

also know as a root or solution

an equation that can be written in the form ax²+bx+c=0 (a≠0)

b²-4ac

### parabola

the graph of an equation of y-k=a(x-h)

### vertex

the point where a parabola crosses it axis of symmetry

### divedend

a quantity to be division, it is the number or expression under the division symbol

### divisor

the quantity by which another quantity is divided. in division it is the number or expression outsde the division symbol

### quotient

the result you get from dividing

### vertical line test

a method to determine if a graph is a function or not

### algebraic expression

An expression that contains at least one variable

### real numbers

the set of numbers that includes rational and irrational numbers.