HESI A2 Math Practice Exam

Correct Answer: C

Rationale: To evaluate the expression 3a^2 - 2ab + b^2 with a = 2 and b = -3: 1. Substitute a = 2, b = -3: 3(2)^2 - 2(2)(-3) + (-3)^2 2. Simplify: 3(4) + 12 + 9 = 12 + 12 + 9 = 33 Therefore, the correct answer is C (33). Other choices are incorrect because they do not yield the correct result when substituting a = 2 and b = -3.

Correct Answer: C

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: D

Rationale: The correct answer is D: 16. A perfect square is a number that can be expressed as the product of an integer multiplied by itself. In this case, 16 is a perfect square because it can be written as 4 x 4. Choices A, B, and C are not perfect squares because they cannot be expressed as the product of an integer multiplied by itself. Thus, 16 is the only number among the choices that fits the definition of a perfect square.

Correct Answer: B

Rationale: To calculate the number of tablets needed: 1. Determine the total dosage needed: 16 mg/kg x 15 kg = 240 mg. 2. Divide the total dosage by the dosage per tablet: 240 mg ÷ 80 mg = 3 tablets. 3. The correct answer is B (2 tablets) as it is the nearest whole number to the calculated 3 tablets. Choice A is incorrect because it is less than the calculated amount. Choice C is incorrect as it is less than the required dosage. Choice D is incorrect as it is a non-integer value.

Correct Answer: D

Rationale: To find out how many questions Brian answered correctly on the second test, we first calculate the 30% increase from his initial score of 150 questions. 30% of 150 is 45, so his new score is 150 + 45 = 195 questions. Therefore, the correct answer is D (195). Choice A (105) is incorrect because it is less than the initial score of 150. Choice B (120) is incorrect because it does not account for the 30% increase. Choice C (180) is incorrect as it is the result of adding 30% to the initial score, not the final score after the increase.