## Praxis 5161 Math Content Knowledge

Percentage Formula

change/originalx100

MADSPM

Rules for exponents

Multiply(add)

Divide(subtract)

Power(multiply)

Multiply(add)

Divide(subtract)

Power(multiply)

Slope Intercept Form

Y=mx+b

Point Slope Form

y-y₁=m(x-x₁)

Quadratic Equation

-b±√b²−4ac)/2a

Discriminant

b²−4ac

<0 no roots >0 2 real roots

=0 1 real root

<0 no roots >0 2 real roots

=0 1 real root

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

I=interest

A=amount

R=rate

T=time

Discount formula

Cost(rate)

Distance

Speed(time)

Diameter

r²

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

cos=adj/hyp

tan=opp/adj

cos=adj/hyp

tan=opp/adj

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)

(Circumference)

2πr

Area of a trapezoid

½h(b₁+b₂)

Area of a square

s²

Continuous compounding interest

B=Peʳᵗ

B=final balance

P=principal deposit

r=interest rate

t=time

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

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

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