TEAS math formulas/conversions

standard form

ax + by = c (slope = -a/b & y-int = c/b)

slope int form

y = mx + b

point-slope form

y-y1 = m(x-x1) → (m is slope & (x1,y1) is a point on the line)

two-point form

(y-y1/x-x1) = (y2-y1/x2-x1) → (x1,y1) & (x2,y2) are 2 points on the graph

intercept form

x/x1 + y/y1 = 1 → (x1,0) is point on x-axis & (0,y1) is point on y-axis

1000 micrograms (mu g)

1 milligram

1000 milligrams

1 gram

1000 grams

1 kilogram

1000 kg

1 metric ton

1000 milliliters

1 Liter

1000 micrometer

1 millimeter

1000 millimeter

1 meter

1000 meters

1 km

100 cm

1 meter

1 inch

2.54 cm

12 in

0.305 meters, 1 ft, 30.48 cm

3 feet

1 yd, 0.914 meters

5280 feet

1 mile, 1.609 kilometers

10 mm

1 cm

1 gallon

4 quarts, 3.785 L

1 quart

2 pints, 0.946 L

1 pint

2 cups, 473 mL

1 cup

8 fluid ounces, 237 mL

1 tbsp

3 tsp, 15 mL

1 tsp

5 mL

1 lb

16 oz, 453.6 g

1 kg

2.2 lbs

1 oz

28.35 grams

f → c

5/9 (f - 32)

c → f

(c x 9/5) + 32

normal body temperature

98.6 degrees F, 37 degrees C

water freezes

32 degrees F, 0 degrees C

water boils

212 degrees F, 100 degrees C

triangle area

A = ½ (bh)

circle circumference

c = 2(pi)r, (pi)d

circle area

A = (pi)r²

volume for rectangular prism

v = lwh

volume for cube

v = s³

volume for cylinder

v = (pi)r²h

volume for sphere

v = (4/3) pi r³

volume for cone

v = (1/3) pi r²h

roman numeral for 50

L

roman numeral for 100

C

roman numeral for 500

D

roman numeral for 1000

M

quadratic equation

ax² + bx + c = 0 & x = -b +- sqrt (b² - 4ac) / 2a