HESI A2 Math Practice

Correct Answer: B

Rationale: To calculate the volume needed, we divide the desired dose (1 gram) by the concentration (200 mg/ml) to convert grams to milligrams. 1 gram = 1000 mg. So, 1000 mg / 200 mg/ml = 5 ml. Thus, the correct answer is B: 5 milliliters. Choice A is incorrect because it miscalculates the conversion. Choices C and D are also incorrect as they do not accurately reflect the correct calculation.

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: A

Rationale: To subtract 2 5\8 - 7\8, first convert both mixed numbers to improper fractions: 2 5\8 = 21\8 and 7\8 = 7\8. Then, subtract the fractions: 21\8 - 7\8 = 14\8 = 1 & 6\8. Finally, simplify the mixed number to 1 & 5\8. Choice A is correct because after subtracting, the result simplifies to 1 & 5\8. Choices B, C, and D are incorrect as they do not represent the correct result of the subtraction calculation.

Correct Answer: C

Rationale: To find the divisor, we use the formula Dividend = Divisor x Quotient. Given Dividend = 12 and Quotient = 4, we substitute these values into the formula: 12 = Divisor x 4. Solving for Divisor, we get Divisor = 12 / 4 = 3. Therefore, the correct answer is C (4). Choice A (3) is incorrect because 12 divided by 3 is 4, not the given quotient of 4. Choice B (6) is incorrect because 12 divided by 6 is 2, not the given quotient of 4. Choice D (9) is incorrect because 12 divided by 9 is 1.33, not the given quotient of 4.

Correct Answer: A

Rationale: The correct answer is A: 1/6. There is only one face on a six-sided die that shows a 3, so the probability of rolling a 3 is 1 out of 6 possible outcomes (1, 2, 3, 4, 5, 6). To calculate the probability, divide the favorable outcomes (1) by the total possible outcomes (6), which gives 1/6. Summary: B: 1/4 - Incorrect, as there is only one 3 on a six-sided die, not 1 out of 4. C: 1/3 - Incorrect, as the probability of rolling a 3 is 1 out of 6, not 1 out of 3. D: 1/2 - Incorrect, as only one face represents a 3, not half of the faces on a six-sided die.