HESI A2 Math Practice

Correct Answer: A

Rationale: To convert 3 quarts to liters, we use the conversion factor 1 quart = 0.946 liters. So, 3 quarts x 0.946 = 2.838 liters, which is rounded to 2.8 liters. Therefore, the correct answer is A (2.8 liters). Option B (3.5 liters) is incorrect as it's not the accurate conversion. Option C (2.5 liters) is lower than the accurate conversion. Option D (4.0 liters) is higher than the accurate conversion.

Correct Answer: A

Rationale: The correct answer is A: 16.67%. There is only one face of the die with a 5, out of a total of 6 faces. Therefore, the probability of rolling a 5 is 1/6, which is approximately 16.67%. Other choices are incorrect: B: 20% - This is the probability if there were 5 faces with a 5. C: 50% - This would be the probability if there were only two faces on the die. D: 83.33% - This would be the probability if there were 5 faces with a 5.

Correct Answer: D

Rationale: The correct answer is D: 7/9. To convert the repeating decimal 0.7777... to a fraction, let x = 0.7777... Multiplying both sides by 10 to shift the decimal point gives 10x = 7.7777... Subtracting the original equation from the shifted one eliminates the repeating decimal, giving 9x = 7. Solving for x, we get x = 7/9, hence 0.7777... = 7/9. Choice A, 77/1000, does not represent the repeating nature of the decimal. Choice B, 70/99, is close but not equivalent to 0.7777... Choice C, 777/900, can be simplified to 7/9, making it the correct answer.

Correct Answer: B

Rationale: The correct answer is B: 3 units. To determine the insulin dose, we first calculate the excess blood sugar above 100mg/dL, which is 80mg/dL (180-100). Then, we use the ratio of 1 unit per 40mg/dL excess, resulting in 2 units for the first 80mg/dL. Since the blood sugar is 180mg/dL, an additional unit is needed for the remaining 40mg/dL above 100mg/dL, totaling 3 units. Choice A: 2 units - This is incorrect as it only accounts for the first 80mg/dL excess and does not consider the additional 40mg/dL above 100mg/dL. Choice C: 4 units - This is incorrect as it overestimates the insulin dose by not using the correct ratio of 1 unit per 40mg/dL excess. Choice D: 5 units - This is incorrect as it

Correct Answer: A

Rationale: To subtract 2 5\8 - 7\8, first convert both mixed numbers to improper fractions: 2 5\8 = 21\8 and 7\8 = 7\8. Then, subtract the fractions: 21\8 - 7\8 = 14\8 = 1 & 6\8. Finally, simplify the mixed number to 1 & 5\8. Choice A is correct because after subtracting, the result simplifies to 1 & 5\8. Choices B, C, and D are incorrect as they do not represent the correct result of the subtraction calculation.