HESI A2
HESI A2 Math Practice Test 2023
1. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?
- A. -5
- B. i^5
- C. 5√-1
- D. 1/5i
Correct answer: C
Rationale: Rationale: - The imaginary unit, denoted as "i," is defined as the square root of -1. - Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1. - Option A, -5, is a real number and not an imaginary unit multiple. - Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i. - Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.
2. Another word for the collarbone might be the ___________.
- A. cloaca
- B. cannula
- C. clavicle
- D. clavier
Correct answer: C
Rationale: Another word for the collarbone is the clavicle. The term 'clavicle' is commonly used in anatomy to refer to this bone that connects the arm to the rest of the body's skeleton. Choice A, 'cloaca,' is incorrect as it refers to a bodily cavity that serves as the opening for the intestinal, genital, and urinary tracts in many vertebrates. Choice B, 'cannula,' is incorrect as it refers to a tube inserted into a vein or body cavity to administer medication or drain fluid. Choice D, 'clavier,' is incorrect as it refers to a keyboard musical instrument.
3. The operating principle of a metal detector relies on:
- A. The static presence of a permanent magnet
- B. The electromotive force induced by a changing magnetic field
- C. The high electrical conductivity of most metals
- D. The unique thermal signature of metallic objects
Correct answer: B
Rationale: The correct answer is B. Metal detectors work based on the principle of electromotive force induced by a changing magnetic field. When a metal object comes into contact with the detector's magnetic field, it disrupts the field, inducing a current in the metal that can be detected. This principle allows metal detectors to identify the presence of metallic objects without relying on the static presence of a permanent magnet, the high electrical conductivity of metals, or the thermal signature of the objects. Choice A is incorrect because metal detectors do not rely on a static magnet but on the interaction of metals with a changing magnetic field. Choice C is incorrect because while metals do have high electrical conductivity, this is not the principle underlying metal detectors. Choice D is incorrect because metal detectors do not operate based on the thermal signature of objects, but rather on their interaction with magnetic fields.
4. The US __________ most of its silicone chips from Japan and China to stay competitive in the tech market.
- A. Deports
- B. Exports
- C. Reports
- D. Imports
Correct answer: D
Rationale: The US imports most of its silicone chips from Japan and China, indicating that the silicone chips are being brought into the US from these countries. 'Imports' refers to the act of bringing goods or services into one country from another, which accurately describes the scenario described in the question. The other choices are incorrect: 'Deports' means expelling individuals from a country, 'Exports' mean sending goods to another country, and 'Reports' mean providing information or data.
5. Which structure of the respiratory system is involved in gas exchange?
- A. Trachea
- B. Bronchioles
- C. Alveoli
- D. Larynx
Correct answer: C
Rationale: The alveoli are the primary site for gas exchange in the respiratory system. These tiny air sacs in the lungs are where oxygen is taken up into the bloodstream and carbon dioxide is released from the bloodstream into the lungs to be exhaled. The trachea (Choice A) is the windpipe that carries air to and from the lungs but is not directly involved in gas exchange. Bronchioles (Choice B) are smaller airway branches that lead to the alveoli but do not participate in gas exchange themselves. The larynx (Choice D) plays a role in producing sound and protecting the airway but is not primarily responsible for gas exchange.
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