HESI A2 Math Practice

Correct Answer: B

Rationale: To solve for x in the equation 3x + 9 = 0, first, subtract 9 from both sides to isolate 3x. This gives you 3x = -9. Next, divide both sides by 3 to solve for x, which results in x = -3. Therefore, the correct answer is B. Choice A is incorrect as it does not account for the correct arithmetic operations. Choice C is incorrect because it does not yield a solution that satisfies the equation. Choice D is incorrect as it does not follow the correct steps to solve for x.

Correct Answer: B

Rationale: To find 60% of 150, you multiply 150 by 0.6 (which represents 60%). 150 * 0.6 = 90 Therefore, the correct answer is B: 90. Choice A is incorrect as 80 is not the result of multiplying 150 by 0.6. Choice C is incorrect as 120 is not 60% of 150. Choice D is incorrect as it is the same as choice A.

Correct Answer: A

Rationale: To calculate the distance traveled, we use the formula Distance = Speed x Time. Given speed is 60 mph and time is 2 hours. So, Distance = 60 mph x 2 hours = 120 miles. Therefore, the correct answer is A: 120 miles. Option B (180 miles) is incorrect as it would be the distance traveled if the train traveled for 3 hours at 60 mph. Option C (100 miles) and D (240 miles) are incorrect as they do not align with the actual calculation of Distance = 60 mph x 2 hours = 120 miles.

Correct Answer: C

Rationale: To find the area of a circle, we use the formula A = πr^2. Given that the diameter is 6cm, the radius (r) is half of the diameter, which is 3cm. Plugging this into the formula, we get A = π(3)^2 = 9π cm^2. Therefore, the correct answer is C: 27π cm^2. Choices A, B, and D are incorrect because they do not correctly calculate the area based on the given diameter.

Correct Answer: B

Rationale: To convert ounces to milliliters, we need to know that 1 oz is approximately 29.57 mL. Given the bottle contains 3/4 oz of perfume: (3/4) * 29.57 = 22.175 mL, which rounds to 22.5 mL. Thus, the correct answer is B (22.5 mL). Choice A (25 mL) is incorrect as it is the result of rounding up 22.175 mL. Choices C (15 mL) and D (20 mL) are incorrect as they do not align with the conversion factor of 1 oz to mL.