HESI A2 Math Practice Test 2023

Correct Answer: D

Rationale: To solve for x in the equation 4x - 8 = 16, we first isolate x by adding 8 to both sides, yielding 4x = 24. Then, divide both sides by 4 to find x = 6. This is the correct answer because it satisfies the original equation. Choice A and B are the same and incorrect. Choice C is incorrect as it does not solve the equation correctly.

Correct Answer: A

Rationale: To determine the distance traveled by the train, we use the formula Distance = Speed x Time. Given the speed of 65 mph and time of 1.5 hours, we calculate 65 mph x 1.5 hours = 97.5 miles. Therefore, the correct answer is A: 97.5 miles. Option B, 100 miles, is incorrect as it does not match the calculated result. Options C and D, 98 miles and 95 miles, respectively, are also incorrect as they do not align with the calculated distance based on the given speed and time.

Correct Answer: D

Rationale: To find 80% of $500, you multiply $500 by 0.80. 0.80 represents 80% in decimal form. So, $500 x 0.80 = $400. Choice D is correct. Choice A is incorrect because $425 is 85% of $500. Choice B is incorrect because $450 is 90% of $500. Choice C is incorrect because $350 is 70% of $500.

Correct Answer: A

Rationale: To solve for x in the proportion 120:x = 40:0.5, first cross multiply to get 120*0.5 = 40*x. This simplifies to 60 = 40x. Divide both sides by 40 to find x = 1.5, which is choice A. The other choices are incorrect because: - B: 60 - Incorrect, doesn't match the calculation. - C: 0.167 - Incorrect, not the result of the calculation. - D: 16 - Incorrect, doesn't match the calculation.

Correct Answer: C

Rationale: To find the volume of a cone, we use the formula V = (1/3)πr^2h. Plugging in the values, V = (1/3)π(5)^2(12) = 100π ≈ 314.16 cu cm. Therefore, the correct answer is C (150 cu cm), as it is the closest option to the calculated volume. Option A is too small, B is slightly larger, and D is too large compared to the actual volume.