HESI A2 Math Practice - Nurselytic

Correct Answer: A

Rationale:
To multiply fractions, multiply the numerators together and the denominators together. In this case, 3/4 1/3 = (3 1) / (4 3) = 3/12 = 1/4.
Therefore, the correct answer is A: 1/4.

Choices B (1/3), C (3/5), and D (3/8) are incorrect because they do not result from the correct multiplication of the given fractions.

Correct Answer: C

Rationale:
Rationale:
- The formula for the area of a circle is A = πr^2, where r is the radius of the circle.
- The diameter of the circular bandage is 6 cm, so the radius (r) is half of the diameter, which is 6/2 = 3 cm.
- Substitute the radius (r = 3 cm) into the formula for the area of a circle: A = π(3)^2 = 9π cm^2.
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Therefore, the area covered by the bandage is 9π cm^2.

Correct Answer: B

Rationale:
Rationale:
1. Calculate the excess blood sugar above 100mg/dL: 180mg/dL - 100mg/dL = 80mg/dL.
2. Determine the insulin dose based on the patient's usual insulin dose: 80mg/dL / 40mg/dL = 2 units.
3. Add the calculated insulin dose to the patient's usual insulin dose: 1 unit (usual dose) + 2 units (calculated dose) = 3 units.

Therefore, the correct answer is 3 units of insulin should be administered to the diabetic patient with a blood sugar level of 180mg/dL.

Correct Answer: B

Rationale:
To solve the equation 3x + 9 = 0, first, isolate the variable x. Subtract 9 from both sides to get 3x = -9.
Then, divide by 3 to solve for x, giving x = -3.
Therefore, the correct answer is B.
Choice A, x = -3, is the correct solution.

Choices C and D are incorrect as they do not satisfy the equation when substituted back into it.

Correct Answer: A

Rationale:
To subtract mixed numbers, find a common denominator. Convert 28 3/4 to 28 9/12.
Then, subtract 5 5/6 from 28 9/12 to get 22 11/12.
Therefore, 28 3/4 - 5 5/6 = 22 & 11/12, which matches choice A.

Choices B, C, and D are incorrect because they do not reflect the correct subtraction result after finding the common denominator and performing the subtraction.