Math Formulas - ATI TEAS 7

PPMDAS

Parenthesis, Power, Multiplication, Division, Addition, Subtraction

What is the Equation to find a Slope

m = (y2-y1) / (x2-x1)

Perimeter - Formula

P=s+s+s....

Add all sides

Circumference of a Circle - Formula

C=2πr or C=πd

2 x pi x radius OR pi x diameter

Perimeter of a Rhombus - Formula

P = 2√(d1)² + (d2)²

2 square root of (diagonal 1) squared + (diagonal 2) squared

Area of a Square - Formula

A = s²

Side squared

Area of a Rectangle - Formula

A=lw

length x width

Area of a Triangle - Formula

A=1/2bh

(base x height) / 2

Area of a Circle - Formula

A=πr²

pi x radius squared

Area of a Parallelogram - Formula

A=bh

base x height

Area of a Trapezoid - Formula

A=1/2h(b1+b2)

0.5 x height (base1+base2)

Area of a Rhombus (or Kite) - Formula

A=1/2d1d2

(diagonal 1 x diagonal 2) /2 OR 0.5 x d1 x d2

Volume of ANY Prism - Formula

V = Bh

B = area of base

Volume of a Cube - Formula

V=s³

side cubed

Volume of a Rectangular Prism - Formula

V=lwh

length x width x height

Volume of a Cylinder - Formula

V=πr²h

pi x radius squared x height

Volume of a Sphere - Formula

V=4/3πr³

4/3 x pi x radius cubed

Volume of a Triangular Prism - Formula

V=(1/2bh)h

((base x height) /2) x height

(base x height)/2 = area of triangle.

V=Bh (area of base x height)

Volume of a Rectangular Pyramid - Formula

V=1/3lwh

(length x width x height) / 1/3

Volume of a Cone - Formula

V=1/3πr²h

pi x radius squared x h x 1/3

∑

sum of terms that follow a pattern

Standard Deviation - Formula

SD = √ (∑(x-u)²)/n-1

SD = square root of the sum of (#-mean)² / n-1

x=number itself

u=mean of numbers

n=number of individual numbers

For Sample use n-1 -> SD = √ (∑(x-u)²)/n-1

For Population use n -> SD = √ (∑(x-u)²)/n

Sum of Angles - Formula

(n-2)180

(number of sides of the shape - 2) x 180 degrees

n=sides of shape

Distance - Formula

d=rt

distance = rate x time

Pythagorean Theorem

a²+b²=c²

Slope Intercept - Formula

y=mx+b

m = slope

b = y-intercept

1 kilogram = ___ pounds

2.2 lbs

1 inch = ___ centimeters

2.54 cm

1 meter = ___ feet

3.28 feet

1 ounce = ___ grams

28.5 g

1 mile = ____ kilometers

1.6 km

1 gallon = ___ liters

3.8 L

Perimeter of a Semi-Circle - Formula

P = πr + 2r