# Praxis 5161 Math Content Knowledge

Percentage Formula
change/originalx100
Rules for exponents
Divide(subtract)
Power(multiply)
Slope Intercept Form
Y=mx+b
Point Slope Form
y-y₁=m(x-x₁)
-b±√b²−4ac)/2a
Discriminant
b²−4ac
<0 no roots >0 2 real roots
=0 1 real root
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Distance between two points
√(x₁−x₂)²+(y₁−y₂)²
Midpoint
[x₁+x₂÷2,y₁+y₂÷2]
Volume of a right cylinder
πr²h
Volume of a sphere
4/3πr³
Surface area of a sphere
4πr²
Volume of a right cone
1/3πr²h
Surface area of a right cone
πr×side
ART FORMULA
I=art
I=interest
A=amount
R=rate
T=time
Discount formula
Cost(rate)
Distance
Speed(time)
Diameter
Area of a circle
πr²
Perimeter of a rectangle
2(l+w)
Average
Sum of terms/total number of terms
Average speed
Total distance/total time
Probability
Desired outcomes/total outcomes
SOHCAHTOA
sin=opp/hyp
Arc length
n/360(2πr)
Area of a sector
n/360(πr²)
Pythagorean theorem
a²+b²=c²
Area of a rectangle
L(w)
Area of a triange
½bh
Perimeter of a circle
(Circumference)
2πr
Area of a trapezoid
½h(b₁+b₂)
Area of a square
Continuous compounding interest
B=Peʳᵗ
B=final balance
P=principal deposit
r=interest rate
t=time
Compounding interest annually
B=P(1+r)ᵗ
P=principal
r=annual interest rate
t=time
B=ending balance wanted
Area of a cube
6×side²
Volume of a cube
side³
How to find degree measurement of an interior angle
180(x-2)/x