HESI A2 Math Practice

Correct Answer: B

Rationale: To determine the number of nurses needed for 25 patients, we can set up a proportion based on the given information. If 3 nurses can care for 15 patients, then the ratio of nurses to patients is 3:15 or 1:5. To find out how many nurses are needed for 25 patients, we can set up the proportion 1/5 = x/25 and solve for x. Cross multiplying gives us 5x = 25, so x = 25/5 = 5. Therefore, 5 nurses are needed for 25 patients. Choice A (4 nurses) is incorrect because it does not account for the increased number of patients. Choice C (6 nurses) and Choice D (7 nurses) are also incorrect as they overestimate the number of nurses needed based on the given ratio of nurses to patients.

Correct Answer: C

Rationale: To convert ounces to pounds, we know that 16 ounces equal 1 pound. Therefore, to find how many pounds are in 192 ounces, we divide 192 by 16, which equals 12 pounds (Option C). Option A is incorrect as it incorrectly converts 192 ounces to 16 pounds. Option B is incorrect as it miscalculates the conversion. Option D is incorrect as it duplicates Option A.

Correct Answer: A

Rationale: The correct answer is A: 1/6. There is only one face showing a 5 on a six-sided die, so the favorable outcome is 1. The total number of possible outcomes when rolling a six-sided die is 6. Therefore, the probability of rolling a 5 is 1/6. Choice B (1/4) is incorrect because there is only one face showing a 5 out of 6 possible outcomes, not 4. Choice C (1/2) is incorrect as it represents the probability of rolling an even number on a six-sided die, not specifically a 5. Choice D (1/3) is incorrect as it does not accurately represent the probability of rolling a 5 on a six-sided die.

Correct Answer: B

Rationale: To solve for x in the equation 3x + 9 = 0, first, subtract 9 from both sides to isolate 3x. This gives you 3x = -9. Next, divide both sides by 3 to solve for x, which results in x = -3. Therefore, the correct answer is B. Choice A is incorrect as it does not account for the correct arithmetic operations. Choice C is incorrect because it does not yield a solution that satisfies the equation. Choice D is incorrect as it does not follow the correct steps to solve for x.

Correct Answer: A

Rationale: To express 0.025 as a ratio, we need to convert it to a fraction first. 0.025 as a fraction is 25/1000. Simplifying this gives us 1/40. Therefore, the correct ratio is 1:40. Choice A is correct as it represents the simplified form of 0.025 as a ratio. Choices B, C, and D are incorrect as they do not represent the equivalent simplified ratio of 0.025.