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Scatter: Algebra II Midterm Study Guide

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

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absolute value functionf(x) = Imx + bI + c
combinationselection in which order does not matter
constant variationk = y/x
degree 0constant
degree 1linear
degree 2quadratic
degree 3cubic
degree 4quartic
degree 5quintic
dependent systemcoinciding lines, no unique solution
difference of cubesa cubed - b cubed = (a - b)(a squared + ab + b squared)
direct variationy = kx, k not equal to 0
domainset of all inputs, or x-coordinates, of the ordered pairs
functionrelation in which each element of the domain is paired with exactly on element of the range
imaginary numbersquare root of -1
inconsistent systemparallel lines, no solution
independent systemintersecting
integers-2, -1, 0, 1, 2
irrational numbers-square root of 3, pi, cube root of 40
matrix1st row x 1st column, 1st row x 2nd column, 2nd row x 1st column, 2nd row x 2nd column
matrixrow x column
natural numbers1, 2, 3
permutationan arrangement of items in a particular order
point slope formy - y1 = m(x - x1)
quadratic formulax = -b +- square root of b squared - 4ac/ 2a
rangeset of all outputs, or y-coordinates, of the ordered pairs
rational numbers1/2, 0.3, 1, 2 2/3, -5/4, -1.07
real numbersall numbers
reflective propertya = a
relationset of pairs of input and output values
slope formulay2 - y1/x2 - x1
slope intercept formy = mx + b
standard formax + by = c
standard form of a quadratic equationax squared + bx + c
sum of cubesa cubed + b cubed = (a + b)(a squared - ab + b squared)
symmetric propertya = b then b = a
transitive propertya = b and b = c, then a = c
vertex form of a quadratic functiony = a(x - h) squared + k
vertex in absolute value function(-b/m, c)
whole numbers0, 1, 2, 3
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