solve for x 120x4005
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Nursing Elites

HESI A2

HESI A2 Math Practice Test 2023

1. Solve for x: 120:x::40:0.5.

Correct answer: A

Rationale: To solve the proportion 120:x::40:0.5, cross-multiply to get 120 * 0.5 = 40 * x. This simplifies to 60 = 40x. Dividing both sides by 40 gives x = 1.5. Therefore, the correct answer is A. Choice B (60) is incorrect because x is not equal to 60. Choice C (0.167) is incorrect as it does not result from solving the proportion. Choice D (16) is also incorrect because x is not equal to 16.

2. A healthcare professional works in a military hospital from 1300 to 2000. What time of day does this healthcare professional work?

Correct answer: C

Rationale: The shift from 1300 (1:00 PM) to 2000 (8:00 PM) corresponds to early afternoon to bedtime. Therefore, the correct answer is C, as this healthcare professional works during the early afternoon to bedtime hours. Choices A, B, and D are incorrect because the work hours fall within the early afternoon to evening time frame, not early morning, lunchtime, or midnight to sunrise.

3. Solve: 8x = x^2.

Correct answer: C

Rationale: To solve the equation 8x = x^2, rearrange it to x^2 - 8x = 0. Factor out an x to get x(x - 8) = 0. Set each factor to zero to find the solutions: x = 0 or x = 8. Therefore, x = 16 is the correct answer because x = 0 is not in the answer choices, and x = 8 is a distraction meant to confuse. Thus, choice C, 16, is the correct solution to the equation.

4. What is the temperature in Celsius when it is 98.6 degrees Fahrenheit?

Correct answer: B

Rationale: To convert 98.6 degrees Fahrenheit to Celsius, you can use the formula (98.6 - 32) × 5/9. By solving this equation, the temperature is calculated to be 37°C. Therefore, the correct answer is B, 37 Celsius. Choice A, 35 Celsius, is incorrect because it is not the outcome of the conversion formula. Choice C, 38 Celsius, is incorrect as well, as it does not match the correct conversion result. Choice D, 36.5 Celsius, is also incorrect as it does not correspond to the accurate conversion from 98.6 degrees Fahrenheit.

5. How many milliliters are in 4 liters?

Correct answer: C

Rationale: To convert liters to milliliters, you must remember that 1 liter is equal to 1,000 milliliters. Therefore, to find out how many milliliters are in 4 liters, you multiply 4 by 1,000. This gives you a total of 4,000 milliliters in 4 liters. Choices A, B, and D are incorrect because they do not correctly convert liters to milliliters. A and B incorrectly represent 40 milliliters, which would be the result if you mistakenly multiplied by 10 instead of 1,000. Choice D is even further from the correct answer, as it suggests only 4 milliliters, which is significantly less than the actual conversion of 4 liters to milliliters.

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Divide: 727 ÷ 6 =

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