HESI A2
HESI A2 Math Practice Test 2022
1. What is the result of the expression 47/57 + 65/75?
- A. 1 23/35
- B. 2 1/3
- C. 1 2/3
- D. 1 5/6
Correct answer: A
Rationale: To add fractions, you need a common denominator. In this case, the common denominator is 57 * 75 = 4275. So, (47*75 + 65*57) / 4275 = (3525 + 3705) / 4275 = 7230 / 4275. Simplifying this fraction gives 1 23/35. Choice B: 2 1/3 is incorrect as the correct result is not a mixed number. Choice C: 1 2/3 is incorrect as it does not match the simplified result of the expression. Choice D: 1 5/6 is incorrect as it is a different value from the correct result obtained by adding the fractions.
2. Solve for y if y = 3: 4y + 21/y
- A. 19
- B. 7.7
- C. 23/3
- D. 11
Correct answer: A
Rationale: To solve the expression 4y + 21/y when y = 3, substitute y = 3: 4 * 3 + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A, '19,' is the correct result of the expression when y = 3. Choice B, '7.7,' is incorrect as the correct answer is an integer, not a decimal. Choice C, '23/3,' is incorrect as it is not the simplified integer result of the expression. Choice D, '11,' is incorrect as it does not result from the given expression when y = 3.
3. Which part of the brain controls involuntary actions such as breathing and heart rate?
- A. Cerebrum
- B. Cerebellum
- C. Medulla oblongata
- D. Hypothalamus
Correct answer: C
Rationale: The medulla oblongata, located at the base of the brainstem, controls essential involuntary actions such as breathing, heart rate, and blood pressure. It plays a crucial role in maintaining vital functions necessary for survival. The cerebrum is responsible for voluntary actions, conscious thought, and sensory processing, making it an incorrect choice. The cerebellum primarily coordinates movement, balance, and posture, not involuntary actions like breathing and heart rate. The hypothalamus regulates body temperature, thirst, hunger, and controls the endocrine system, but it is not directly responsible for controlling breathing and heart rate.
4. The head nurse at the hospital has a team of six nurses and one phlebotomist. If the phlebotomist is responsible for 1/7 of the patients, what fraction of the patients is each nurse responsible for?
- A. 1/6
- B. 1/7
- C. 1/8
- D. 1/5
Correct answer: A
Rationale: The correct answer is A: 1/6. The phlebotomist is responsible for 1/7 of the patients, leaving 6/7 of the patients for the six nurses. To find out the fraction of patients each nurse is responsible for, divide the remaining patients (6/7) among the six nurses. This results in each nurse being responsible for 1/6 of the patients. Choice B, 1/7, is incorrect because that is the fraction assigned to the phlebotomist. Choices C and D, 1/8 and 1/5, are incorrect fractions and do not reflect the correct distribution of patients among the nurses.
5. The first law of thermodynamics is a principle of energy conservation. It states that:
- A. Energy can be created or destroyed.
- B. The total entropy of an isolated system always decreases.
- C. Energy can neither be created nor destroyed, only transferred or transformed.
- D. The temperature of a system is directly proportional to its entropy.
Correct answer: C
Rationale: The first law of thermodynamics states that energy cannot be created or destroyed; it can only be transferred or converted from one form to another, ensuring energy conservation in any system. Choice A is incorrect because it goes against the principle of energy conservation. Choice B is incorrect as it refers to the second law of thermodynamics, which states that the total entropy of an isolated system always increases. Choice D is incorrect because the temperature of a system is not directly proportional to its entropy.
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