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Xᵃ+Xᵇ
Xᵃ+ᵇ
(Xᵃ)ᵇ
Xᵃˣᵇ
(XY)ᵃ
XᵃYᵃ
Xᵃ*Xᵇ.
Xᵃ+ᵇ
Xᵃ/Xᵇ
Xᵃ-ᵇ
(X/Y) ᵃ
X ᵃ/Y ᵃ
X⁻ᵃ
1/Xᵃ
X⁰
1
(Xᵃ/Xᵇ) ⁻ᶜ
(Xᵇ/Xᵃ/)ᶜ
xᵃ/ᵇ
ᵇ√xᵃ
Trapezoid area
1/2h(b1+b2)
circle area
πr²
circle circumference
2πr
cube volume
side³
cube area
6*(side)²
rectangular prism volume
lwh
rectangular prism surface area
2lw+2lh+2wh
cylinder volume
πr²h
Cylinder surface area
2πrh+2πr²
triangle area
1/2bh
when finding central angle
slope formula
(y₂- y₁) / (x₂- x₁)
part of a percent
percent x whole = ?
base of a percent
part/percent
percent
part/base
flip the inequality sign when
dividing or multiplying
<
open circle/dashed line
≥
closed circle/normal line
permutations formula
nPk = n!/(n-k)!
combinations formula
nCr = n!/r!(n-r)!
distance between two points formula
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
midpoint formula
(x₁+x₂)/2
inversely proportional variables
y = k/x
x2+x+0
multiply to find 0 and add or subtract to find X
adding fractions
a/b + c/d = ad + bc/bd (find common denominator)
subtracting fractions
a/b - c/d = ad-bc/bd (find common denominator)
multiply fractions
multiply the numerators and multiply the denominators
dividing fractions
(a/b)/(c/d)=a/b x d/c = ad/bc
prime numbers
a number which can only be divided by itself and 1
composite numbers
A whole number greater than 1 that has more than two factors.
SOHCAHTOA
SIN (Opposite/Hypotenuse) COS (Adjacent/Hypotenuse) TAN (Opposite/Adjacent)
y is not a function of x if
there are two or more points with the same x value but different y
y is a function of x if
each x has a different y
triangle angles add up to
180
parabola vertex formula
y=a(x-h)² +k
(h
reflecting over the y axis causes
the x value to switch signs
a parallel line has the
same slope
√-x
not as real number
100*2ᵗ/⁹
random
quadratic formula
-b±√b²-4ac/2a
time
-b/2a