a doctor orders 1 gram of a medication to be administered intravenously the available vial contains 200 milligrams per milliliter how many milliliters

HESI A2

HESI A2 Math Practice

1. A doctor orders 1 gram of a medication to be administered intravenously. The available vial contains 200 milligrams per milliliter. How many milliliters of the solution should be drawn up?

A. 4 milliliters
B. 5 milliliters
C. 10 milliliters
D. 20 milliliters

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.

2. Ratio and proportion 1.2:x=14:42.

A. 2
B. 0
C. 1
D. 3

Correct answer: D

Rationale: Cross-multiply to solve for 𝑥 x: 1.2 × 42 = 14 𝑥 1.2×42=14x 50.4 = 14 𝑥 50.4=14x 𝑥 = 50.4 14 = 3.6 x= 14 50.4 =3.6

3. What is 20% of 150?

A. 25
B. 30
C. 35
D. 20

Correct answer: B

Rationale: To find 20% of 150, you need to multiply 150 by 0.20: 150 × 0.20 = 30. Therefore, 20% of 150 is indeed 30. Choice A (25) is incorrect as it represents 20% of 125, not 150. Choice C (35) is incorrect as it represents more than 20% of 150. Choice D (20) is incorrect as it is the original percentage to find.

4. What is the absolute value of -7?

A. 49
B. 17
C. 7
D. 14

Correct answer: C

Rationale: The absolute value of a number is its distance from zero on the number line, regardless of its sign. In this case, the absolute value of -7 is 7 because it is 7 units away from zero in the negative direction. Therefore, the absolute value of -7 is 7. Choice A (49) is incorrect as it is the square of -7, not the absolute value. Choice B (17) and Choice D (14) are incorrect values and do not represent the absolute value of -7.

5. The plane is due to land at 6:20 P.M. What would that be in military time?

A. 620
B. 1820
C. 6020
D. 6200

Correct answer: B

Rationale: In military time, the afternoon and evening hours are represented by adding 12 to the standard time. Therefore, 6:20 P.M. would be equivalent to 18:20 in military time. To convert from P.M. to military time, simply add 12 hours to the given time. Choice A, '620,' is incorrect because it does not account for converting to military time. Choice C, '6020,' is incorrect as military time uses a 24-hour clock format, and the hour digit should not exceed 23. Choice D, '6200,' is incorrect as it does not follow the military time format where the hour part ranges from 00 to 23.