Formulas

Question 1

Area of a Parallelogram

Answer 1

A = bh

Question 2

Area of a Trapezoid

Answer 2

A = (b1+b2/2) x h

Question 3

Sum of interior angles of any sided shape

Average degrees per side

Answer 3

n-2 (180º)

n = the number of sides

=180 (n-2) / n

Question 4

Height of an Equilateral Triangle

Answer 4

h = 1/2 s√3

s = side

Question 5

Area of a Circle

Answer 5

A = πr^2

Question 6

Circumference of a Circle

Answer 6

A = 2πr

Question 7

Arch Length of a Circle

Answer 7

Arch length = Circumference x Central Angle / 360º

Question 8

The volume of a Cylinder

Answer 8

V = πr^2h

Question 9

Slope Coordinates

Answer 9

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

Question 10

Distance Between Points on a Graph

Answer 10

d = √ (x2 - x1)^2 + (y2 - y1)^2

Question 11

Percent Change

Answer 11

percent change = (difference / original) x 100

Difference = new-original

Question 12

Rates: Distance

Answer 12

Distance = Rate x Time

D = RT

Question 13

Rates: Average Speed

Answer 13

Average Speed = Total Distance / Total Time

V=D/T

Question 14

Rates: Work

Answer 14

Work = (individual rate) (number of workers) (time)

W = RT

Question 15

Parabola Formula Normal

Answer 15

y = ax^2 + bx + c

Question 16

1) Parabola Vetex Form

2) Coordinate location of the vertex

Answer 16

y = a (x-h)^2 + k

Vertex = h, k

Question 17

Overlapping Sets

Answer 17

Total = Grp 1 + Grp 2 - Both + Neither

Question 18

Simple Interest

Answer 18

V = P ( 1 + [rt/100] )

P = principle
R = rate
t = time

Question 19

Compound Interest

Answer 19

V = P ( 1 + [r/100n ] )^nt

P = principle
R = rate
t = time
n = number of compounds per year

Question 20

Sequences

Answer 20

1+2+3+4+….n

= n (n+1) / 2

Question 21

Standard Deviation

Answer 21

s = √ ∑(x-m)^2/n

Question 22

Combinations

Answer 22

When the order does not matter – for example, picking any 3 friends from a group of 5.

nCr = n! / [ r! (n-r)! ]

n represents the number of items, and r represents the number of items being chosen at a time.

Question 23

Permutations

Answer 23

When the order does matter – for example, how many ways you could order 3 letters from the word PARTY?

nPr = n! / (n-r)!

n represents the number of items, and r represents the number of items being chosen at a time.