HESI A2 Math Practice

Correct Answer: A

Rationale: To multiply fractions, multiply the numerators (top numbers) and denominators (bottom numbers) separately. So, 3/4 * 1/3 = (3*1) / (4*3) = 3/12 = 1/4. Therefore, the correct answer is A. Choice B is incorrect because multiplying the numerators and denominators would give 3/12, not 1/3. Choice C is incorrect as the result of multiplying 3/4 and 1/3 is 1/4, not 3/5. Choice D is incorrect as 3/4 * 1/3 is 1/4, not 3/8.

Correct Answer: A

Rationale: To express 0.025 as a ratio, we need to convert it to a fraction first. 0.025 as a fraction is 25/1000. Simplifying this gives us 1/40. Therefore, the correct ratio is 1:40. Choice A is correct as it represents the simplified form of 0.025 as a ratio. Choices B, C, and D are incorrect as they do not represent the equivalent simplified ratio of 0.025.

Correct Answer: B

Rationale: To find the total number of shipping labels needed per day, we multiply the number of boxes by the number of labels per box: 9 boxes x 3 labels = 27 labels. This is why choice B (27 labels) is correct. Choice A (24 labels) results from multiplying the boxes by labels incorrectly. Choice C (20 labels) and choice D (30 labels) are both too low and too high respectively, indicating an incorrect understanding of the calculation required.

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 multiply the fractions, first convert the mixed number to an improper fraction: 1 4/5 = 9/5. Then, multiply all fractions: (4/9) * (9/5) * (2/5) = 8/25. Therefore, choice A (8/25) is the correct answer. Choices B, C, and D are incorrect because they do not match the result of the multiplication.