Math HESI A2 Practice Test

Correct Answer: A

Rationale: To find the rate of calories burned per mile, divide the total calories burned (2276) by the total miles ran (21.4). So, 2276 / 21.4 = 106.4. This means the runner burns approximately 106.4 calories per mile. Choice A (106.4) is correct as it represents the correct calculation result. Choices B, C, and D are incorrect as they do not match the calculated value based on the given information.

Correct Answer: A

Rationale: To find the distance traveled, we first calculate the time elapsed from 1:45 PM to 3:15 PM, which is 1.5 hours. Next, we multiply the speed of 65 mph by the time of 1.5 hours to get the distance traveled, which equals 97.5 miles. Therefore, the correct answer is A: 97.5 miles. Choice B (100 miles) is incorrect because the calculation does not result in 100 miles. Choice C (95 miles) is incorrect as it is less than the correct distance. Choice D (105 miles) is incorrect as it is greater than the correct distance calculated.

Correct Answer: C

Rationale: To solve for x, add 7 to both sides of the equation: 2x - 7 + 7 = 9 + 7. This simplifies to 2x = 16. Then, divide by 2 on both sides to get x = 8. This is the correct answer (C) because it correctly follows the principles of algebra. Choices A, B, and D are incorrect as they do not yield the correct solution when substituted back into the original equation.

Correct Answer: D

Rationale: To find 50% of 120, you multiply 120 by 0.50 (which represents 50%). So, 120 x 0.50 = 60. Therefore, the correct answer is D. Choice A (50) is incorrect because it represents the percentage value, not the result of the calculation. Choice B (50) is a duplicate of Choice A. Choice C (70) is incorrect as it is not the result of finding 50% of 120.

Correct Answer: C

Rationale: The correct answer is C: 16.60%. The probability of rolling a 5 on a fair six-sided die is 1/6, as there are 6 possible outcomes (1, 2, 3, 4, 5, 6) and only 1 favorable outcome (rolling a 5). To calculate the probability, you divide the number of favorable outcomes by the total number of outcomes, which is 1/6 = 0.1667 or 16.67%. Therefore, the closest choice is C: 16.60%. Explanation for other choices: A: 50% - Incorrect. This suggests that rolling a 5 is equally likely as not rolling a 5, which is not true for a fair six-sided die. B: 20% - Incorrect. This implies that rolling a 5 is 1 out of 5 possible outcomes, which is not the case for a standard six-sided die. D: 83