HESI A2 Math Practice Test 2023

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: To convert milliliters to liters, you need to divide by 1,000 since there are 1,000 milliliters in 1 liter. So, 2,000 milliliters divided by 1,000 equals 2 liters. Therefore, the correct answer is C: 2 liters. Choice A is incorrect as it incorrectly doubles the conversion factor. Choice B is incorrect as it doesn't account for the conversion from milliliters to liters. Choice D is incorrect as it duplicates choice A.

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: B

Rationale: The correct answer is B (2.2). To convert pounds to kilograms, you need to divide the weight in pounds by 2.2. This is because 1 pound is approximately equal to 0.454 kilograms. Therefore, by dividing the weight in pounds by 2.2, you are essentially converting pounds to kilograms. Choice A (1.8) is incorrect because it is not the accurate conversion factor for pounds to kilograms. Choice C (2.5) is also incorrect as it is not the standard conversion factor. Choice D (2) is not correct either, as it does not accurately convert pounds to kilograms.

Correct Answer: A

Rationale: To divide mixed numbers, convert them to improper fractions. 4 7/8 = (8*4 + 7)/8 = 39/8 and 1 1/6 = (6*1 + 1)/6 = 7/6. Then divide 39/8 by 7/6: (39/8) ÷ (7/6) = (39/8) * (6/7) = 234/56 = 4 5/28 (Choice A). The other choices are incorrect because they do not yield the correct result when following the correct steps for dividing mixed numbers.