HESI A2 Math Practice - Nurselytic

Correct Answer: A

Rationale: The probability of rolling a specific number on a six-sided die is calculated by dividing the favorable outcomes (rolling a 3) by the total possible outcomes. In this case, there is 1 favorable outcome (rolling a 3) out of 6 total possible outcomes (numbers 1 to 6 on the die).
Therefore, the probability of rolling a 3 is 1/6.
Choice B (1/4), C (1/3), and D (1/2) are incorrect because they do not represent the correct calculation of the probability for rolling a 3 on a six-sided die.

Correct Answer: A

Rationale:
To convert liters to milliliters, remember there are 1,000 milliliters in a liter. So, to find how many milliliters are in 5 liters, you multiply 5 (liters) by 1,000 (milliliters per liter), which equals 5,000 milliliters.
Choice A is correct as it converts 5 liters to milliliters accurately.
Choice B, 50 milliliters, is incorrect as it mistakenly converts liters to milliliters by a factor of 100 instead of 1,000.
Choice C, 500 milliliters, is incorrect as it also wrongly converts liters to milliliters by a factor of 10 instead of 1,000.
Choice D, 0.5 milliliters, is incorrect as it inaccurately converts 5 liters to 0.5 milliliters, which is not correct.

Correct Answer: A

Rationale:
To solve the equation 3x + 2 = 14, first, subtract 2 from both sides to isolate 3x: 3x = 12.
Then, divide by 3 to solve for x: x = 4.
Therefore, the correct answer is A, x = 4.
Choice B, x = 2, is incorrect because it does not satisfy the equation.
Choice C, x = 6, is incorrect as well since it does not satisfy the equation.
Choice D, x = 3, is also incorrect as it does not satisfy the given equation.

Correct Answer: D

Rationale:
To find the result of subtracting 8.4 from 3.7, you need to subtract 3.7 from 8.4. Performing this subtraction, 8.4 - 3.7 equals 4.7.
Therefore, the correct answer is 4.7.
Choice A, 4.5, is incorrect as it is not the result of subtracting 8.4 from 3.7.

Choices B and C, 4.8 and 4.6 respectively, are also incorrect as they do not match the correct subtraction result of 4.7.

Correct Answer: B

Rationale: 1 gram is equivalent to 1000 milligrams. The concentration of the medication is 200 milligrams per milliliter.
To calculate the volume needed, divide the total amount of medication by the concentration: 1000 mg / 200 mg/mL = 5 mL.
Therefore, 5 milliliters of the solution should be drawn up to administer 1 gram of the medication intravenously.
Choice A (4 milliliters),
Choice C (10 milliliters), and
Choice D (20 milliliters) are incorrect because they do not accurately calculate the volume of the solution needed based on the concentration of the medication.