a train travels at 70 mph for 6 hours how far did it travel
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HESI A2

Math HESI A2 Practice Test

1. A train travels at 70 mph for 6 hours. How far did it travel?

Correct answer: D

Rationale: To find the distance traveled, multiply the speed of 70 mph by the time of 6 hours: 70 mph × 6 hours = 420 miles. Therefore, the correct answer is 420 miles. Choices A, B, and C are incorrect as they do not result from the correct calculation.

2. A hospital receives a shipment of vitamin tablets. The hospital ordered 6,000 tablets, but the shipment included 1/5 more tablets than the hospital ordered. How many tablets were in the shipment?

Correct answer: A

Rationale: To find the total tablets in the shipment, first, calculate 1/5 of 6,000: 6,000 * 1/5 = 1,200. Add this to the original order: 6,000 + 1,200 = 7,200 tablets. Therefore, the shipment included 7,200 tablets. Choice B, 5,000 tablets, is incorrect because it does not account for the additional 1/5 of the original order. Choice C, 6,500 tablets, is incorrect as it only considers the original order and not the extra tablets. Choice D, 8,000 tablets, is incorrect as it overestimates the total by not considering the 1/5 more tablets included in the shipment.

3. Simplify the expression: -5 + (-8)

Correct answer: A

Rationale: When adding two negative numbers, you add their absolute values and keep the negative sign. In this case, -5 + (-8) is equal to -13 because the absolute values of 5 and 8 add up to 13, and the negative sign is retained. Choice B (8) is incorrect because adding two negative numbers results in a negative sum. Choice C (13) is incorrect as it doesn't consider the negative signs of the numbers being added. Choice D (-5) is incorrect because it does not account for the addition of the two negative numbers.

4. If the quotient is 4 and the dividend is 12, what is the divisor?

Correct answer: C

Rationale: To find the divisor, you need to divide the dividend by the quotient. In this case, the dividend is 12 and the quotient is 4. Dividing 12 by 4 gives you the divisor, which is 3. Therefore, the correct answer is 4. Choices A, B, and D are incorrect because they do not result from dividing the dividend by the quotient in this scenario.

5. 81:X::9:27. Find X.

Correct answer: B

Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.

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