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naplex 2024 > Math Equations > Flashcards

Math Equations Flashcards

1
Q

Liquid Conversion

1 tsp (t) = ml?

A

5 ml

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2
Q

Liquid Conversion

1 tbsp (T) = ml?

A

15 ml

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3
Q

Liquid Conversion

1 fl oz = ml?

A

30 ml (approx)
29.57 ml (actual)

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4
Q

Liquid Conversion

1 cup = oz? ml?

A

1 cup= 8 oz, 240 ml (approx.); 236.56 ml (actual)

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5
Q

Liquid Conversion

1 pint = oz? ml?

A

1 pint= 16 oz, 480 ml (approx.); 473 ml (actual)

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6
Q

Liquid Conversion

1 quart = pint?, ml?

A

1 quart= 2 pints, 960 ml (approx.); 946 ml (actual)

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7
Q

Liquid Conversion

1 gallon = quarts? ml?

A

1 gallon = 4 quarts, 3,840 ml (approx.); 3,785 ml (actual)

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8
Q

Solid (weight) Conversion

1 kg = lbs?

A

1 kg= 2.2 pounds (lbs)

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9
Q

Solid (weight) Conversion

1oz = grams (g)?

A

1 oz = 28.4 grams (g)

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10
Q

Solid (weight) Conversion

1 lb= grams? oz?

A

1 lb= 454 g, 16 oz

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11
Q

Solid (weight) Conversion

1 grain = mg?

A

1 grain = 65 mg (approx.); 64.8 mg (actual)

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12
Q

mEq to mmol?

A

mEq to mmol is 1:1 for monovalent ions, 1:0.5 for divalent ions

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13
Q

Height Conversions
1 inch (in) = cm?
1 meter (m) = cm?

A

1 inch (in) = 2.54 centimeters (cm)
1 meter (m) = 100 cm

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14
Q

Percentage strength:

A

100 / Ratio strength

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15
Q

Ratio Strenght:

A

100 / Percentage strength

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16
Q

PPM ➔ Percentage strength

A

Move the decimal left 4 places… You can also divide the PPM value by 10,000 (10k) to convert it to a percentage… For example, 61 PPM equals 0.0061%

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17
Q

Percentage strength ➔ PPM

A

Move the decimal right 4 places…or multiply the percentage value by 10,000. For example, 0.12% is equal to 1,200 PPM.

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18
Q

Specific Gravity (SG)

A

SG = weight of substance (g) / weight of equal volume of water (g)
.
or SG = g / ml

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19
Q

Dilution & Concentration (Changing Strength or Quantity)

A

Q1 x C1 = Q2 x C2
.
Q1 = old quantity Q2 = new quantity
C1 = old concentration C2 = new concentration

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20
Q

Alligation

A
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21
Q

Osmolarity

A
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22
Q

The different compound and # of dissociation particles

A
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23
Q

lsotonicity (E Value)

A
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24
Q

Ionization/ Dissociation factor (i)

A
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25
Q

Moles

A

mols = g / MW

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26
Q

Millimoles

A

mmols = mg / MW

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27
Q

Mllliequlvalents

A
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28
Q

Compounds and their valances

A
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29
Q

Enteral Nutrition Calories

Carbs, protein, fat

A
  • Carbs, Protein = 4 kcal/gram
  • Fat 9 kcal/gram
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30
Q

Parenteral Nutrition Calories

Dextrose Monohydrate

A

Dextrose Monohydrate = 3.4 kcal/gram

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31
Q

Parenteral Nutrition Calories

Amino Acid Solutions

A

Amino Acid Solutions = 4 kcal/gram

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32
Q

Parenteral Nutrition Calories

ILE 10%, ILE 20%, ILE 30%

A

lLE 10% = 1.1 kcal/ml
lLE 20% = 2 kcal/ml
lLE 30% = 3 kcal/ml

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33
Q

Determining Fluid Needs

A

When weight > 20 kg:
1,500 ml+ (20 ml)(weight in kg - 20)

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34
Q

Corrected Calcium for Albumin < 3.5 (not needed with Ionized Ca)

A

Ca Corrected (mg/dl) = calcium measured + [(4.0 - albumin measured) x (0.8)]

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35
Q

Total Energy Expenditure

A

TEE = BEE x activity factor x stress factor

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36
Q

Grams of Nitrogen From Protein

A

Nitrogen (g) = protein intake (g)/6.25

37
Q

BMI

A

weight (lbs)/ (height in in)^2 * 703

38
Q

BMI Classifications

A
39
Q

Ideal Body Weight (IBW)

A
40
Q

Adjusted Body Weight (AdjBW)

A
41
Q

Which Weight to Use for Drug Dosing (mg/kg)

A
42
Q

Flow Rates/Drop Factor (drops/min)

A
43
Q

Cockcroft-Gault Equation

A
44
Q

Blood pH

Acidosis vs Alkalosis? Respiratory vs Metabolic?

A
45
Q

Blood Ph

Another way to see blood pH, metabolic vs respiratory

A
46
Q

Anion Gap formula

A

Na - Cl - HCO3

47
Q

Determining Dehydration

A

BUN:Scr > 20:1

48
Q

pH Calculations

WEAK ACID

A
49
Q

pH Calculations

WEAK BASE

A
50
Q
  1. Fahrenheit to Celcium
  2. Celcius to Fahrenheit
A
  1. °F = (C x 1.8) + 32
    .
  2. C = (°F - 32)/1 .8
50
Q

Percent Ionization: Weak acid vs. Weak base

A
51
Q

Absolute Neutrophil Count (ANC)

A

WBC x [(% segs + % bands)/100]

52
Q

Time to Burn (TTB)

A

TTB (with sunscreen in mins) = SPF x TTB (without sunscreen)

53
Q

Mean, Mode, Median

A

Mean = average value
Median = value in the middle of an ordered list
Mode = value that occurs most frequently

54
Q

Biostat

Risk

A
55
Q

Biostat

Relative Risk (RR)

A
56
Q

Biostat

Relative Risk Reduction (RRR)

A
57
Q

Biostat

Absolute Risk Reduction (ARR)

A
58
Q

Number Needed to Treat or Harm (NNT, NNH)

A

1/ ARR(decimal)
.
Round up or NNT and Round down for NNH

59
Q

Biostat

Odds Ratio (OR)

A
60
Q

Biostat

Hazard Ratio (HR)

A
61
Q

Biiostat

Incremental Cost Ratio

A

(C2-C1) / (E2-E1)
.
C = costs
E = effects

62
Q

Diabetes

Initiating Basal-Bolus Insulin In Type 1 Diabetes

A
  1. Calculate total daily dose (TDD) of 0.5 units/kg/day using TBW.
  2. Divide into 1/2 basal & 1/2 rapid-acting . If using NPH/R , use 2/3 & 1/3.
  3. Split rapid-acting among meals
63
Q

DM

Insulin-to-Carbohydrate Ratio: Regular Insulin

A
64
Q

DM

Insulin-to-Carbohydrate Ratio: Rapid Acting insulin

A
65
Q

DM

Correction Factor: Regular Insulin

A
66
Q

DM

Correction Factor: Rapid Acting insulin

A
67
Q

DM

Correction Dose

A
68
Q

Dyslipidemia

Friedewald LDL =

A

TC - HDL - (TG/5)
.
do not use if TG over 400!!!

69
Q

Compounding

Minimum Weighable Quanity (MWQ) =

A

MWQ = Sensitivity requirement / acceptable error rate (usually 0.05)

70
Q

Pharmacokinetics

Bioavailability (F)

A
71
Q

Pharmacokinetics

Volume of Distribution (Vd)

A
72
Q

Pharmacokinetics

Clearance (Cl)

A
73
Q

Pharmacokinetics

Eliminatlion Rate Constant (ke)

A

Ke= Cl/ Vd

74
Q

Pharmacokinetics

Half-Life (t 1/2)

A

t1/2 = 0.693/ ke

75
Q

Pharmacokinetics

Loading Dose (LD)

A
76
Q

Phenytoin (Total) Correction for Albumin < 3.5

A
77
Q

Dose-Drug Conversions

KCI Solution (Oral) to tablets

A

KCl 10% = 20mEq/15mL

78
Q

Dose-Drug Conversions

Calcium Salts

A
  • Calcium Carbonate = 40% elemental calcium
  • Calcium Citrate = 21% elemental calcium
79
Q

Dose-Drug Conversions

Aminophylline and Theophylline

A
  • Aminophylline to Theophylline: Multiply by 0.8 (remember : ATM)
  • Theophylline to Aminophylline : Divide by 0.8
80
Q

Dose-Drug Conversions

Loop Diuretic equivulance and IV:PO conversions

A
81
Q

Dose-Drug Conversions

Metoprolol - IV:PO

A

IV:PO = 1 : 2.5

82
Q

Dose-Drug Conversions

Statins Equivulant

A
83
Q

Dose-Drug Conversions

Iron, Elemental

A

Ferrous Sulfate = 20% elemental Iron (e.g., 325 mg x 0.2 = 65 mg)

84
Q

Dose-Drug Conversions

lnsulin Conversion

A

Usually, 1 :1 conversion
.
Exceptions:
- NPH dosed BID —> glargine dosed daily, use 80% of NPH dose!
- Toujeo —> other forms of glargine or detemir, use 80% of Toujeo dose

85
Q

Dose-Drug Conversions

Levothyroxine - IV:PO

A

IV:PO = 0.75 : 1

86
Q

Dose-Drug Conversions

Steroids Equivulance

A
87
Q

Dose-Drug Conversions

Lithium

A

5 ml lithium citrate syrup = 300 mg lithium carbonate = 8 mEq Li+ ion

88
Q

Dose-Drug Conversions

Opioid Dosing Conversion

A
  1. Morphine: IV/IM- 10mg; PO- 30mg
  2. Hydromorphone: IV/IM- 1.5mg; PO- 7.5mg
  3. Oxycodone: IV/IM- n/a; PO- 20mg

naplex 2024 (29 decks)

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