four more than a number x is 2 less than 13 of another number y which of the following algebraic equations correctly represents this sentence
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ATI TEAS 7

TEAS Practice Math Test

1. Which of the following algebraic equations correctly represents the sentence 'Four more than a number, x, is 2 less than 1/3 of another number, y'?

Correct answer: A

Rationale: To represent 'Four more than a number, x', we write x + 4. This is equal to '2 less than 1/3 of another number, y', which translates to 1/3y - 2. Therefore, the correct equation is x + 4 = (1/3)y - 2. Choice B is incorrect as it incorrectly combines the values of x and y. Choice C is incorrect as it doesn't properly relate x and y with the given conditions. Choice D is incorrect as it doesn't correctly represent the relationship between x and y according to the given statement.

2. Today, astrophysicists study the same stars that were observed by the astronomers of the ancient world, though today’s techniques and technology are much more advanced. Which of the following is misspelled in the sentence?

Correct answer: B

Rationale: The misspelled word in the sentence is 'astronemers,' which should be spelled as 'astronomers.' 'Astrophysicists,' 'techniques,' and 'technology' are all correctly spelled words in the sentence. Ensuring proper spelling is essential for effective communication and clarity. The term 'astronomers' refers to individuals who study celestial bodies, including stars, making it the correct answer in this context.

3. What does the 'nature of the fairy tale genre' refer to in Passage 2?

Correct answer: A

Rationale: The 'nature of the fairy tale genre' in Passage 2 refers to how fairy tales capture basic, fundamental human desires and fears, representing the most essential form of fictionalized human experience. This includes the portrayal of characters as purely good or purely evil, the celebration of themes such as romance and commoners becoming royalty, which all contribute to portraying basic human experiences in a symbolic and imaginative manner. The other choices are incorrect because while they may be elements present in fairy tales, they do not encompass the overarching concept of capturing basic human experiences as referred to in Passage 2.

4. Which of the following produces the first heart sound ('lub')?

Correct answer: B

Rationale: The correct answer is B. The first heart sound, known as the 'lub' sound, is produced by the closure of the tricuspid and mitral valves, which are the atrioventricular valves. This sound marks the beginning of systole in the cardiac cycle. Choice A, the closing of the aortic and pulmonary valves, is incorrect as these valves produce the second heart sound ('dub'). Choice C, the opening of the aortic and pulmonary valves, is incorrect because the first heart sound occurs during ventricular contraction (systole). Choice D, the opening of the tricuspid and mitral valves, is incorrect as the 'lub' sound is associated with the closure, not the opening, of these valves.

5. How is power defined in terms of physics?

Correct answer: A

Rationale: In physics, power is defined as the rate at which work is done, which refers to the amount of energy transferred or converted per unit time. Choice B, 'The amount of force applied,' is incorrect as power is related to work done, not just force. Choice C, 'The distance an object travels,' is not the definition of power but rather relates to displacement or distance. Choice D, 'The potential energy of an object,' is not the correct definition of power; potential energy is different from power. Therefore, the correct definition of power in physics is the rate at which work is done.

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