HESI A2 Math - Nurselytic

Correct Answer: D

Rationale:
To convert 5 3/4 to a decimal, divide the numerator (3) by the denominator (4) to get 0.75. Adding this to the whole number 5 results in 5.75. When rounding to the nearest tenth, 5.75 rounds to 5.8.
Choice A, 5.75, is the exact conversion before rounding, so it is incorrect.
Choice B, 5.7, is incorrect because it does not account for the 0.05 difference when rounding.
Choice C, 6, is incorrect as it is the closest whole number but not a decimal approximation.
Therefore, the correct answer is 5.8.

Correct Answer: B

Rationale: Given x=11, substitute into the expression: (11 + 44) / (2*11) = 55 / 22 = 2.5.
Therefore, the correct answer is 2.5.


Choice A (33) is incorrect as it does not represent the correct calculation.
Choice C (13) is incorrect as it is not the result of the expression.
Choice D (55/22) is incorrect as it is the same as the simplified form of the expression, not the answer to the calculation.

Correct Answer: D

Rationale: In this math question related to pharmacology, the correct answer is
D) 4 & 5/28.
To solve this division problem involving mixed numbers, we first convert the mixed numbers to improper fractions. 4 7/8 becomes 39/8 and 1 1/6 becomes 7/6.


Then, we invert the divisor (7/6) and multiply it with the dividend (39/8). This results in (39/8) * (6/7) = 234/56 = 117/28.

Next, we convert the improper fraction 117/28 back to a mixed number, which is 4 5/28.
Therefore, the correct answer is 4 & 5/28.

Option
A) 4 & 6/8 simplifies to 5, which is incorrect. Option
B) 4 & 7/8 is the same as the initial number and does not reflect the result of the division. Option
C) 5 & 8/14 is not simplified and does not represent the correct answer.

Understanding how to convert mixed numbers to improper fractions, perform division with mixed numbers, and convert the result back to a mixed number is crucial in pharmacology and healthcare calculations where precise dosage measurements are essential. Mastering these mathematical skills is vital for healthcare professionals to ensure accurate medication administration.

Correct Answer: A

Rationale:
To add mixed numbers, first convert them to improper fractions. 6 3/4 = 27/4 and 8 1/6 = 49/6. Finding a common denominator, we get 27/4 + 49/6 = 81/12 + 98/12 = 179/12 = 14 & 11/12.
Therefore, the correct answer is A.
Choice B is incorrect as it does not simplify to the correct result.
Choice C is in fraction form and not in mixed number form, making it incorrect.
Choice D is not the correct sum of the given mixed numbers, so it is also incorrect.

Correct Answer: A

Rationale:
To solve for x in the equation x/250 = 3/500, you can cross-multiply: x*500 = 3*250.
Therefore, 500x = 750. Now, divide both sides by 500: x = 750/500. Simplifying, x = 1.5.
Therefore, the correct answer is A, 1.5.
Choice B, 25.5, is incorrect as it does not match the correct calculation.
Choice C, 1500, is incorrect as it is not the result of solving the equation given.
Choice D, 2.5, is incorrect as well, as it does not align with the correct value of x obtained from the equation.