solve the proportion find the value of x 914 x56
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HESI A2

HESI A2 Math Practice Test 2022

1. Solve the proportion (find the value of x): 9:14 = x:56.

Correct answer: C

Rationale: To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.

2. Which numeric system does not use place value?

Correct answer: A

Rationale: The Roman numeric system does not use place value as the Arabic, Decimal, and Binary systems do. In the Roman numeral system, the value of each symbol is independent of its position, unlike in the other systems where the position of a digit affects its value. This unique characteristic of Roman numerals distinguishes them from place-value systems like Arabic, Decimal, and Binary. Therefore, the correct answer is Roman (Choice A). Choices B, C, and D (Arabic, Decimal, and Binary) all utilize place value, where the position of a digit within a number determines its value, unlike Roman numerals.

3. How many milligrams are in 3.4 grams?

Correct answer: B

Rationale: To convert grams to milligrams, you need to multiply by 1,000 because there are 1,000 milligrams in 1 gram. Therefore, to find out how many milligrams are in 3.4 grams, you multiply 3.4 by 1,000 which equals 3,400 mg. Choices A, C, and D are incorrect because they do not correctly convert grams to milligrams.

4. A doctor prescribes 150 milligrams of medication to be taken orally every 12 hours. How many grams should the patient take per dose?

Correct answer: B

Rationale: Rationale: 1. Convert milligrams to grams: 150 milligrams = 150/1000 = 0.15 grams. Therefore, the patient should take 0.15 grams per dose. Choice A (0.015 grams) is incorrect as the decimal point was misplaced, leading to a value that is too small. Choice C (1.5 grams) is incorrect as it represents 10 times the correct value. Choice D (15 grams) is incorrect as it represents 100 times the correct value. The correct conversion from milligrams to grams is 0.15 grams.

5. How many yards are in a mile?

Correct answer: A

Rationale: The correct answer is A: 1,760. According to the standard distance conversion, there are 1,760 yards in a mile. This conversion is widely accepted and used in various fields. Choice B, 1,700, is incorrect as it does not correspond to the standard conversion. Choice C, 1,800, represents a different value and is therefore incorrect. Choice D, 1,750, is not the accurate conversion for yards in a mile and is incorrect.

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