Basic Math Formulas
Midpoint Formula
(x₁+x₂)/2, (y₁+y₂)/2
Compound Interest Formula
A = P(1 + r/n)^(n x t), r is the rate, n is the number of times compounded, t is time
Area of a Parallelogram
A=bh
Area of a Rectangle
A=lw
Area of a Square
A=s²
Area of a Trapezoid
A=½(b₁+b₂)h
Area of a Triangle
A=½bh
Area of a Circle
A=πr²
Standard Form (Linear Equations)
Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative
Circumference of a Circle
C = 2πr OR πd
Temperature Formula
C=5/9 (F-32)
Simple Interest Formula
I=Prt
Perimeter of a Square
P = 4s
Perimeter of a Rectangle
P=2l+2w
Surface Area of a Rectangular Prism
SA = 2lw + 2wh + 2lh
Surface Area of a Cylinder
SA=2πr²+2πrh
Surface Area of a Sphere
SA=4πr²
Surface Area of a Pyramid
SA=B+1/2pl where B is the area of the base and l is the slant height
Surface Area of a Prism
SA=ph+2B
Surface Area of a Cone
SA=πrl+πr²
Volume of a Prism
V =Bh
Volume of a Sphere
V=(4/3)πr³
Volume of a Cone
V=1/3πr²h
Volume of a Cube
V=s³
Volume of a Pyramid
V=⅓Bh
Arithmetic Sequence (Definition)
a sequence in which each term except the first is obtained from the previous by adding a constant value, known as the common difference of the arithmetic progression
Geometric Sequence (Definition and Formula)
a sequence that can be defined recursively as An = A(n-1)r
Standard Form (Quadratic Equations)
ax² + bx + c = 0
Arithmetic Sequence Formula
a₁+(n-1)d
Distance Formula
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
Distance Traveled Formula
d=rt
Slope Formula
m=y₂-y₁/x₂-x₁
Intercept Form (Quadratic Functions)
the form y=a(x-p)(x-q), where the x-intercepts of the graph are p and q
Quadratic Formula
x = -b ± √(b² - 4ac)/2a
Exponential Growth Formula
y = a (1 + r) r is a decimal value for the percent increase
Exponential Decay Formula
y = a(1 - r) r is a decimal value for the percent decrease
Point-Slope Form
y-y₁=m(x-x₁), where m is the slope and (x₁,y₁) is a given point on the line
Vertex Form (Quadratic Functions)
y=a(x-h)²+k
Standard Form (Quadratic Functions)
y=ax²+bx+c
Slope-Intercept Form
y=mx+b, where m is the slope and b is the y-intercept of the line.
