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. If x = -2 and m = -3, evaluate: xm - 2m

Correct answer: A

Rationale: Substitute x = -2 and m = -3 into the expression: (-2) * (-3) - 2 * (-3) = 6 + 6 = 12. Therefore, the correct answer is 12. The mistake in the other choices lies in the calculation. Choice B, 6, is the result of adding the two terms instead of subtracting the second term from the first. Choice C, 8, and Choice D, 10, are also incorrect as they do not follow the correct calculation process.

3. How many ounces are in 2 quarts?

Correct answer: D

Rationale: To convert quarts to ounces, you need to multiply by 32 (1 quart = 32 ounces). Therefore, 2 quarts x 32 ounces/quart = 64 ounces. Hence, there are 64 ounces in 2 quarts. Choices A, B, and C are incorrect because they do not reflect the correct conversion factor from quarts to ounces.

4. If a car's gas tank is 3/4 full and the tank holds 16 gallons when full, how many gallons are in the tank?

Correct answer: A

Rationale: To find out how many gallons are in the tank when it is 3/4 full, you need to calculate 3/4 of 16 gallons. 3/4 of 16 is (3/4) x 16 = 12 gallons. Therefore, the car's gas tank contains 12 gallons when it is 3/4 full. Choice B (8 gallons) is incorrect because that would be 1/2 of the tank's capacity, not 3/4. Choice C (14 gallons) is incorrect as it exceeds the full capacity of the tank. Choice D (10 gallons) is incorrect as it is less than 3/4 of the tank's capacity.

5. A patient's height is 1.65 meters and their weight is 75kg. Calculate their BMI and interpret the result.

Correct answer: C

Rationale: To calculate BMI, divide weight (75kg) by height squared (1.65m^2) to get BMI (27.7). A BMI of 27.7 falls within the 'overweight' category (25-29.9 BMI). Choice A is incorrect as a BMI of 23.1 would be in the 'normal' range (18.5-24.9 BMI). Choice B is incorrect as 25.3 falls within the 'overweight' category. Choice D is incorrect as 32.8 is in the 'obese' category (>30 BMI). Therefore, the correct answer is C.

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