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medical math test name: cleymar murrino date: score: /100 directions: q…

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medical math test
name: cleymar murrino date: score: /100
directions: questions 1 - 25 are multiple choice (2 pts each). questions 26 - 30 are open - ended scenarios (10 pts each). show all work and include correct units.
section 1 - conversions, dosage, and iv drip rates (2 pts each)

  1. convert 2.5 liters to milliliters.

a. 250 ml c. 25 ml
b. 2500 ml d. 0.25 ml

  1. convert 5,000 milligrams to grams.

a. 0.5 g c. 50 g
b. 5 g d. 500 g

  1. convert 12 ounces to milliliters.

a. 120 ml c. 360 ml
b. 240 ml d. 480 ml

  1. convert 150 pounds to kilograms.

a. 67.9 kg c. 68.1 kg
b. 68.2 kg d. 75.5 kg

  1. convert 98.6°f to °c.

a. 32°c c. 42°c
b. 37°c d. 98°c

  1. furosemide 40 mg ordered, 10 mg/ml available. how many ml should you administer?

a. 2 ml c. 4 ml
b. 3 ml d. 5 ml

  1. amoxicillin 250 mg/5 ml ordered for 500 mg. how many ml should you administer?

a. 5 ml c. 10 ml
b. 7.5 ml d. 15 ml

Explanation:

Step1: Convertir litros a mililitros

Sabemos que \(1\ L = 1000\ mL\). Entonces, para convertir \(2.5\ L\) a \(mL\), multiplicamos \(2.5\times1000\).

$$2.5\times1000 = 2500$$

Step2: Convertir miligramos a gramos

Como \(1\ g= 1000\ mg\), para convertir \(5000\ mg\) a \(g\), dividimos \(5000\div1000\).

$$5000\div1000 = 5$$

Step3: Convertir onzas a mililitros

Sabemos que \(1\ onza = 29.5735\ mL\) (aproximadamente \(30\ mL\)). Entonces, para \(12\ onzas\), multiplicamos \(12\times30\).

$$12\times30 = 360$$

Step4: Convertir libras a kilogramos

Como \(1\ lb = 0.453592\ kg\), para \(150\ lb\), multiplicamos \(150\times0.453592\approx68.04\approx68.1\)

Step5: Convertir grados Fahrenheit a grados Celsius

La fórmula es \(C=\frac{5}{9}(F - 32)\). Sustituyendo \(F = 98.6\):

$$C=\frac{5}{9}(98.6 - 32)=\frac{5}{9}\times66.6 = 37$$

Step6: Calcular la dosis de furosemida

Si tenemos \(40\ mg\) ordenados y la concentración es \(10\ mg/mL\), usamos la fórmula \(V=\frac{D}{C}\) (donde \(V\) es el volumen, \(D\) la dosis y \(C\) la concentración). Entonces \(V=\frac{40}{10}=4\)

Step7: Calcular la dosis de amoxicilina

Si la concentración es \(250\ mg/5\ mL\) (es decir, \(50\ mg/mL\)) y la dosis ordenada es \(500\ mg\). Usando \(V=\frac{D}{C}\), \(V=\frac{500}{50}=10\)

Answer:

  1. B. \(2500\ mL\)
  2. B. \(5\ g\)
  3. C. \(360\ mL\)
  4. C. \(68.1\ kg\)
  5. B. \(37^{\circ}C\)
  6. C. \(4\ mL\)
  7. C. \(10\ mL\)