Section 3 Formula Sheet

Information

Mathematics Formula Sheet

Area of a:

square A equals s squared

rectangle A equals l w

parallelogram A equals b h

triangle A equals one-half base times height

trapezoid A equals one half h times open parentheses b subscript 1 plus b subscript 2 close parentheses

circle A = pi r squared

Perimeter of a:

square P = 4 s

rectangle P = 2 l plus 2 w

triangle P = side 1 plus side 2 plus side 3

circumference of a circle C = 2 pi r OR C = pi d; pi equals approximately 3 point 1 4

Surface Area and Volume of a:

rectangular prism S A equals 2 l w plus 2 l h plus 2 w h V equals l w h

right prism S A equals p h + 2 B V equals B h

cylinder S A equals 2 pi r h plus 2 pi r squared V equals pi r squared h

pyramid S A equals one half p s + B V equals one third B H

cone S A equals pi r s plus pi r squared V equals one third pi r squared h

sphere S A equals 4 pi r squared V equals 4 thirds pi r cubed

( p = perimeter of base B ; pi is equal to approximately 3.14 )

mean

mean is equal to the total of the values of a data set, divided by the number of elements in the data set

median

median is the middle value in an odd number of ordered values of a data set, or the mean of the two middle values in an even number of ordered values in a data set

data set, or the mean of the two middle values in an even number of ordered values in a data set

Algebra

slope of a line $m equals the fraction, with numerator y subscript 2 minus y subscript 1 and denominator x subscript 2 minus x subscript 1$

slope-intercept form

of the equation of a line y equals m x plus B

point-slope form of the

equation of a line y minus y subscript 1 equals m times open parentheses x minus x subscript 1 close parentheses

standard form of a

quadratic equation y equals a x squared plus b x plus c

quadratic formula $x equals the fraction with numerator negative b plus or minus the square root of b squared minus 4 a c and denominator 2 a$

Pythagorean Theorem a squared plus b squared equals c squared

simple interest I equals P r t

( I = interest, P = principal, r = rate, t = time)

distance formula d equals r t

total cost Total cost equals number of units times price per unit

Practice