real numbers

all numbers

rational numbers

1/2, 0.3, 1, 2 2/3, -5/4, -1.07

integers

-2, -1, 0, 1, 2

whole numbers

0, 1, 2, 3

natural numbers

1, 2, 3

irrational numbers

-square root of 3, pi, cube root of 40

relation

set of pairs of input and output values

function

relation in which each element of the domain is paired with exactly on element of the range

domain

set of all inputs, or x-coordinates, of the ordered pairs

range

set of all outputs, or y-coordinates, of the ordered pairs

slope formula

y2 – y1/x2 – x1

point slope form

y – y1 = m(x – x1)

slope intercept form

y = mx + b

standard form

ax + by = c

reflective property

a = a

symmetric property

a = b then b = a

transitive property

a = b and b = c, then a = c

direct variation

y = kx, k not equal to 0

constant variation

k = y/x

absolute value function

f(x) = Imx + bI + c

vertex in absolute value function

(-b/m, c)

independent system

intersecting

dependent system

coinciding lines, no unique solution

inconsistent system

parallel lines, no solution

matrix

row x column

matrix

1st row x 1st column, 1st row x 2nd column, 2nd row x 1st column, 2nd row x 2nd column

vertex form of a quadratic function

y = a(x – h) squared + k

standard form of a quadratic equation

ax squared + bx + c

imaginary number

square root of -1

quadratic formula

x = -b +- square root of b squared – 4ac/ 2a

degree 0

constant

degree 1

linear

degree 2

quadratic

degree 3

cubic

degree 4

quartic

degree 5

quintic

sum of cubes

a cubed + b cubed = (a + b)(a squared – ab + b squared)

difference of cubes

a cubed – b cubed = (a – b)(a squared + ab + b squared)

permutation

an arrangement of items in a particular order

combination

selection in which order does not matter