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. A syringe holds 3ml of liquid. How many syringes are needed to measure 15ml of liquid?

Correct answer: B

Rationale: Since each syringe holds 3ml of liquid, to measure 15ml of liquid, you would need to divide 15ml by 3ml/syringe. This calculation gives you 5 syringes needed to measure 15ml of liquid. Choice A (3 syringes) is incorrect because 3 syringes would only hold 9ml of liquid, not 15ml. Choice C (7 syringes) and Choice D (9 syringes) are incorrect as they would result in an excess amount of liquid, which is not needed.

3. What is 33% of 300?

Correct answer: D

Rationale: To find 33% of 300, you multiply 300 by 0.33 (which is the decimal equivalent of 33%). 300 * 0.33 = 99. Therefore, 33% of 300 equals 99. Choice A (3) is incorrect as it is too small for 33% of 300. Choice B (9) is incorrect as it does not reflect the correct calculation for finding 33% of 300. Choice C (33) is incorrect as it represents the percentage value itself, not the result of calculating 33% of 300.

4. What is the result of adding 6 3/4 + 8 1/6?

Correct answer: A

Rationale: To add mixed numbers, first convert them to improper fractions. 6 3/4 = 27/4 and 8 1/6 = 49/6. Finding a common denominator, we get 27/4 + 49/6 = 81/12 + 98/12 = 179/12 = 14 & 11/12. Therefore, the correct answer is A. Choice B is incorrect as it does not simplify to the correct result. Choice C is in fraction form and not in mixed number form, making it incorrect. Choice D is not the correct sum of the given mixed numbers, so it is also incorrect.

5. The formula for calculating ideal body weight (IBW) for men is IBW (kg) = 50 + 2.3 * (height in cm - 150). If a man is 180cm tall, what is his ideal body weight?

Correct answer: B

Rationale: Rationale: 1. Substitute the given height into the formula for calculating ideal body weight (IBW) for men: IBW (kg) = 50 + 2.3 * (180 - 150) IBW (kg) = 50 + 2.3 * 30 IBW (kg) = 50 + 69 IBW (kg) = 119 2. Therefore, the ideal body weight for a man who is 180cm tall is 119kg. 3. Among the given options, the closest value to 119kg is 71kg (option B). 4. Hence, the correct answer is B) 71kg.

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