Accuplacer- Formulas
a raised to the negative n
1 over a raised to n
a over b raised to the negative n
b over a raised to the n
a raised to n times
... [Show More] a raised to m
a raised to n plus m
a raised to n over m
mth root of a all raised to n
a raised to n all raised to m
a raised to n times m
Speed=
d/t
Area of a sector
x/360 times pi r square, where x is central angle
Area of a trapezoid
base 1 plus base 2 times height divided by 2
Volume of cylinder
pi r square times height
Surface area of cylinder
2 pi rh plus 2 pi r squared
Lateral surface area of cylinder
2pi r times height
volume of pyramid/ cone
area of base times height divided by 3
integer
positive, negative, 0
non integer
cannot be a whole number
even
2n
odd
2n plus 1
consecutive
n plus 1 plus n plus 2
ordered sample without replacement
permutation
ordered sample
permutation
unordered sample
combinations
dependent event
prob of a times prob b given a
independent event
prob of a times prob of b
and prob
fulfill requirements
or prob
either event prob added together
outcome=
work over time
supplementary
180
complementary
90
sum of interior angles in tri
180
larger side in tri is...
opposite of largest angle
addition of 2 sides of tri...
greater than third side
side opposite of 30 degrees is...
half of hypotenuse
length of leg opposite of 60 degree is...
x times square root of 3
in 45-45-90 tri, hypotenuse is...
x times square root of 2
area of parallelogram
base times height
area of rhombus
Side 1 times side 2 over 2
area of kite
vertical line down times horizontal line across over 2
inscribed angle
Vertex touches circ and sides are chords of
If 2 inscribed angles are on the same arc...
their angles are equal
If inscribed angles are on the same arc...
Their angles are the same
What is a central angle?
Angle that touches center and circ
Arc Length Formula
2 pi r times a over 360, where a is central angle
A tangent to a circle is....
A line that touches the circles circ at 1 point
the point of tangency is...
the point where the tangent touches the circ
The place where a tangent meets circ a blank angle if formed
A right angle
If segment a is a tangent it is blank to the circle.
Tangent to the circle
When there are 2 points of tangency, the tangents....
meet at an intersection
When there are 2 tangents, their lengths are....
Equal
Circumscribe a circle
Polygon inside circle whose sides are chords
Inscribe a circle
Polygon outside of circle, whose segments are tangents
For a quad to inscribe a circle...
Opposite angles must add up to 180
For quad to circumscribe a circle...
Sum of opposite side lengths should be equal
lateral surface area of prism
Perimeter of base times height
To find length of a diagonal line on graph...
Use Pythagorean Therom
bisect
Cut in half
Surface area of a box
2lw plus 2lh plus 2wh
Surface area of cube
6 x squared
x raised to a over b
B Times Square root of x, all raised to a
a root of x raised to a
x
n root of x times n root of y
n root of x times y
n root of x over y
n root of x over n root of y
to simplify radical...
find prime factorization of radicand
radicand
...
Negative 2 squared Is...
Negative 4
Negative 2 in parentheses squared is...
4
a raised to 0
1
0 raised to n
0 if n is positive
0 raised to negative n
1
When multiplying or dividing inequality by negative number
Switch sign
To simplify radical
Factor radicand
graph equation
y=mx+b
point slope equation
y-y1=m(x-x1)
2 point equation
y-y1=(y2-y1/x2-x1)(x-x1)
slope equation
y2-y1/x2-x1
first step to factor
find multiples
when quadratic factoring, find number that...
multiplies to get product of first and last number, add to get x value
In factoring , multiply to get the blank and add to get the blank
Last number; middle number
Quadratic is in the form...
Ax squared+by+c
numbers appearing more than once in a set
should be written as one number
⋃
union
union means...
what is in Set A combined with what is in Set B
⋂
intersection
intersection means...
what is in both Set A and Set B
a union with a clear set is equal to....
the original set
an intersection with a clear set is equal to...
a clear set
a clear set's intersection with a clear set equals....
a clear set
A⋂A equals
A
1 - P(A) is...
the probability of an event NOT happening
if 2 events cannot occur at the same time....
they are mutually exclusive
mutually exclusive events do not...
depend on each other
when 2 events cannot occur independently...
they are mutually inclusive
mutually inclusive events have...
an overlap that is subtracted
if independent events need to be true at the same time, we...
multiply
mean
average
median
Middle number
mode
most frequent number
range
the difference between the highest and lowest
Surface area of a sphere
4 pi r squared
Volume of a sphere
4 pi r cubed over 3
b given a
prob of a and b over prob of a
The cube root of a negative number is
negative
exponential growth formula
y is equal to a times 1 plus or minus b raised to the x power
standard form of a parabola
y is equal to ax squared plus bx plus c
what is the y intercept of the standard form of a parabola
c
How to find axis of symmetry
average of the 2 corresponding points.
formula for vertex of a parabola
negative b over 2a
vertex form of a parabola
y is equal to a times x minus h squared plus k
Factored form of a parabola
x minus a times x minus b
second way to find x intercepts of parabola
set each binomial of factored form to 0 and solve
how to find y coordinate of vertex
plug x coordinate into the function
which single digit numbers are not prime numbers?
0 and 1
arithmetic sequence
a to the n is equal to the first term + the difference times the index minus one
sum of arithmetic sequence
last term times last term plus 1 over 2
can you add radicals?
yes, if they have the same radicand
interquartile range?
difference between the upper and lower quartiles.
P(B|A)=
P(A and B)/P(B)
(f o g)(x)=
f(g(x))
if average increases by x, then...
each number increases by x
if each number increases by x, then....
average increase by x
number of numbers between x and y...
highest minus lowest plus 1
center of circle is..
(h,k)
Equation of a circle
(x-h) squared+(y-k) squared=r² where (h,k) and (x,y) are points
Venn diagram total
(y-x) +(z-x) + z + a
geometric sequence
a1(r)^n-1 [Show Less]