Math Rules Flashcards
PEMDAS
Parentheses, Exponents, Multiplication & Division, Addition & Subtraction
x * x
x^2
x^-a
1 / x^a
x^0
1
(x^a) * (x^b)
x^(a + b)
(x^a)^b
x^(a * b)
(x^a) / (x^b)
x^(a - b)
(negative)^odd
negative
(negative)^even
positive
Combination
The selection of items in which order does not matter
Permutation
The selection of items in which order matters
nCk
nPk
Standard Form of a Line
y = mx + b (where m is the slope, and b is the y-intercept)
Slope
Rise / Run or (y2 - y1) / (x2 - x1)
(a * b) + (a * c)
a(b + c)
Is 0 an even integer?
Yes
Is 1 a prime number?
No
What is the lowest prime number and the only even prime number?
2
Mode
The most common number(s) in a set
Median
The middle term in a set of ascending numbers (when a set has an even amount of numbers, the median is the average of the two middle terms)
Average
Average = Sum of the Terms / Number of Terms
Speed
Speed = Distance / Time
Average Speed
Average Speed = Total Distance / Total Time
Area of a Triangle
Area of a Triangle = 1/2(b * h)
Area of a Square
Area of a Square = s^2
Area of a Rectangle
Area of a Rectangle = l * w
Area of a Parallelogram
Area of a Parallelogram = b*h
Area of a Trapezoid
Area of a Trapezoid = 1/2(b1 + b2) * h
Volume of a Cylinder
Volume of a Cylinder = πr^2h
Surface Area of a Cylinder
Surface Area of a Cylinder = (2πr^2) + πdh
Volume of a Rectangular Prism
Volume of a Rectangular Prism = lwh
Surface Area of a Rectangular Prism
Surface Area of a Rectangular Prism = 2(lw + lh + wh)
Diameter
Diameter = 2r
Circumference
Circumference = πd
Area of a Circle
Area of a Circle = πr^2
Area of a Sphere
Area of a Sphere = 4πr^2
FOIL
First, Outer, Inner, Last
x^2 - y^2
(x + y)(x - y)
x^2 + 2xy +y^2
(x + y)(x + y)
x^2 - 2xy + y^2
(x - y)(x - y)
Pythagorean Theorem
a^2 + b^2 = c^2
30 60 90 Right Triangle
a, b, c = x, x√3, 2x
45 45 90 Right Triangle
a, b, c = x, x, x√2
√a * √b
√(a * b)
√a / √b
√(a / b)
(a * √c) + (b * √c)
(a + b) √c
√a + √b
√(a+ b)
(√a)^2
a
Quadratic Formula
Equation of a Circle
Simple Interest Rate Formula
Compound Interest
Population Standard Deviation
Sample Standard Deviation
Interior Angle of a Polygon Formula
((n - 2) * 180) / n
Mutually Exclusive
Events that cannot occur at the same time
Independent
The occurrence of either event does not affect the occurrence of the other
P(E or F, or both)
P(E) + P(F) - P(E and F) which is the inclusion exclusion principle tied to probability
P(E or F)
P(E or F) = P(E) + P(F) if E and F are mutually exclusive
P(E and F)
P(E and F) = P(E) * P(F)
