MAT82 Formula sheet
U. S. Customary Units
Length
12 in = 1 ft
3 ft = 1 yd
5280 ft = 1 mi
Weight
16 oz = 1 lb
2000 lb = 1 ton
Capacity
16 fl oz = 1 pt
2 pt = 1 qt
4 qt = 1 gal
1 pt = 2 cups (c)
1 cup = 8 fl oz
Time
60 sec = 1 min
60 min = 1 hr
24hr = 1 day
52 week = 1 yr
365 days = 1 yr
Metric Units
Prefix: Kilo – k = 1000
Deci – d= 0.1 = 1/10
Length (meter = m)
1 km = 1000 m
1 m = 100 cm
1 m = 1000 mm
1 cm = 10 mm
Hecto – h=100
Deka – da=10
Centi – c = 0.01 = 1/100
Milli – m= 0.001 = 1/1000
Weight (gram = g)
1 kg = 1000 g
1 g = 1000 mg
Capacity (Liter = L)
1 kL = 1000 L
1 L = 1000 mL
Metric/U.S. unit conversion relationships
Metric to U.S. Customary
1 kilometer = 0.62 mile
1 meter = 1.09 yards
1 meter = 3.28 feet
1 centimeter = 0.39 inch
1 liter = 0.26 gallon
1 liter = 1.06 quarts
1 kilogram = 2.20 pounds
1 gram = 0.035 ounce
Temperature: C 
5( F  32)
9C
 32
; F
9
5
U.S. Customary to Metric
1 mile = 1.61 kilometer
1 yard = 0.91 meters
1 foot = 0.30 meter
1 inch = 2.54 centimeter
1 gallon = 3.79 liters
1 quart = 0.95 liter
1 pound = 0.45 kilogram
1 ounce = 28.35 grams
Formulas
m
Mdpt = 
y 2  y1
x 2  x1
P = 2l + 2w
A = lw
A=
 x1  x 2 y1  y 2 
,

2 
 2
x2  x1 2   y2  y1 2
d
y = mx + b
P = 4s
A=s2
1
bh
2
d = 2r
A=
A = bh
1
h(a + b)
2
C =  d or C = 2  r
A=  r2
V = lwh
4
V  r 3
3
V  r 2 h
1
V  r 2 h
3
SA = 2lw + 2lh + 2wh, or 2(lw + lh + wh)
m(A)  m(B)  m(C )  180
a2 + b2 = c2
MAT 086
Formulas for MAT092
m
y 2  y1
x 2  x1
 x1  x 2 y1  y 2 
,

2 
 2
Mdpt = 
y = mx + b
d
y – y1 = m(x – x1)
x2  x1 2   y2  y1 2
Parallel lines: slopes equal, y-intercepts different
Perpendicular lines: product of slopes = -1
a3 – b3 = (a – b)(a2 + ab + b2)
a3 + b3= (a + b)(a2 – ab + b2)
P = 2l + 2w
A = lw
A=
P = 4s
A=s2
1
bh
2
d = 2r
A=
A = bh
1
h(a + b)
2
C =  d or C = 2  r
A=  r2
V = lwh
4
V  r 3
3
V  r 2 h
1
V  r 2 h
3
SA = 2lw + 2lh + 2wh, or 2(lw + lh + wh)
m(A)  m(B)  m(C )  180
MAT121 Formula Sheet
x 3  y 3  ( x  y)( x 2  xy  y 2 ) ,
  b   b 

, f
  ,
 2a  2a  
a2  b2  c2
y  kx ,
x
y
k
x
 b  b 2  4ac
2a
log b x  y
m
x 3  y 3  ( x  y)( x 2  xy  y 2 )

y 2  y1
x 2  x1
y  y1  m( x  x1 )
I  prt
 r
A  p 1  
 n
by  x
D  rt
nt
1 1 1
 
t1 t 2 t
y  mx  b