HESI A2 Math Practice Test 2023

Correct Answer: B

Rationale: To determine the number of nurses needed for 40 patients: 1. Calculate the nurse-to-patient ratio: 5 nurses for 20 patients = 1 nurse for 4 patients. 2. Divide 40 patients by the ratio (40 patients ÷ 4 patients/nurse) = 10 nurses. Therefore, 10 nurses are needed for 40 patients. Choice B (8) is incorrect as it does not align with the calculated ratio. Choices A (7) and C (9) are also incorrect as they do not account for the correct calculation based on the given ratio.

Correct Answer: B

Rationale: To convert grams to milligrams, you multiply by 1000 since there are 1000 milligrams in 1 gram. Therefore, 3.4 grams x 1000 = 3400 mg. Choice B is correct because it correctly converts grams to milligrams. Choices A, C, and D are incorrect as they do not correctly apply the conversion factor from grams to milligrams. Option A is off by a factor of 10, option C is off by a factor of 100, and option D is off by a factor of 10.

Correct Answer: B

Rationale: To subtract mixed numbers, first convert them to improper fractions: 17 2\3 = 53\3 and 8 5\9 = 77\9. Then, find a common denominator, which is 9. Subtracting, you get 53\3 - 77\9 = (53*3 - 77)/9 = (159 - 77)/9 = 82/9. Convert 82/9 back to a mixed number, which is 9 1\9 (choice B). The other choices are incorrect because they do not match the correct result obtained through proper subtraction and conversion. Choice A is incorrect as it does not match the calculated result of 9 1\9. Choice C is incorrect as it does not match the calculated result of 9 1\9. Choice D is incorrect as it duplicates choice A without consideration of the actual calculation.

Correct Answer: C

Rationale: Rationale: To find an equivalent expression for 5i, we can rewrite it as 5√-1. This is because i represents √-1. Therefore, 5i is equivalent to 5 times the imaginary unit, which simplifies to 5√-1. Choice A is incorrect as it represents the negative of 5 and not an imaginary unit. Choice B, i^5, is incorrect as it represents i raised to the power of 5 and not the equivalent of 5i. Choice D, 1/5i, is incorrect as it represents the reciprocal of 5i and not the equivalent value itself.

Correct Answer: C

Rationale: To calculate the distance traveled, we use the formula Distance = Speed x Time. Given speed is 60 mph and time is 5 hours, we get Distance = 60 mph x 5 hours = 300 miles. Therefore, the correct answer is C. Option A is incorrect as it miscalculates the product of 60 x 5. Option B is incorrect as it is a lower value. Option D is a duplicate of option A and is also incorrect.