HESI A2 Math Practice Test 2023

Correct Answer: B

Rationale: To determine the number of nurses needed for 40 patients: 1. Calculate the nurse-to-patient ratio: 5 nurses for 20 patients = 1 nurse for 4 patients. 2. Divide 40 patients by the ratio (40 patients ÷ 4 patients/nurse) = 10 nurses. Therefore, 10 nurses are needed for 40 patients. Choice B (8) is incorrect as it does not align with the calculated ratio. Choices A (7) and C (9) are also incorrect as they do not account for the correct calculation based on the given ratio.

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 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 add fractions, we need a common denominator, which for 3, 6, and 5 is 30. So, we rewrite the fractions with a denominator of 30: 20/30 + 5/30 + 12/30 = 37/30. Simplifying 37/30 as 1 & 7/30 gives us the correct answer, choice A. The other choices are incorrect because they do not reflect the accurate sum of the fractions. Choice B is incorrect as it simplifies to 1 & 1/15, not 1 & 7/30. Choice C simplifies to 2/5, which is not the sum of the given fractions. Choice D simplifies to 3/4, which is also not the sum of the fractions provided.

Correct Answer: C

Rationale: To convert gallons to ounces, we know that 1 gallon equals 128 ounces. Therefore, to find out how many ounces are in 2.5 gallons, we multiply 2.5 by 128. 2.5 * 128 = 320 ounces. Therefore, the correct answer is C: 320 ounces. Other choices are incorrect because they do not correctly calculate the conversion from gallons to ounces. A, B, and D do not consider the correct conversion factor of 128 ounces per gallon.