solve the following equation 4y 6 14 solve for y
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HESI A2

HESI A2 Quizlet Math

1. What is the solution to the equation 4y - 6 = 14? Solve for y.

Correct answer: B

Rationale: To solve the equation 4y - 6 = 14 for y, isolate y by adding 6 to both sides: 4y = 14 + 6 => 4y = 20. Then, divide by 4 to solve for y: y = 20 รท 4 = 5. Therefore, the correct answer is 5. Choice A is incorrect as it does not represent the correct solution to the equation. Choice C is incorrect as it is not the solution obtained after correctly solving the equation. Choice D is incorrect as it is not the correct solution to the given equation.

2. What is the meaning of Collusion?

Correct answer: B

Rationale: The correct answer is B: 'Conspiracy.' Collusion refers to a secret agreement or conspiracy, often for deceitful or illegal purposes. Choice A, 'Cooperation,' is incorrect as collusion implies a deceptive or dishonest agreement, not a genuine cooperation. Choice C, 'Separation,' is incorrect as it denotes the opposite of collusion, which involves working together secretly. Choice D, 'Rejection,' is unrelated to collusion, which involves secret cooperation for deceptive purposes.

3. A teacher's aide is preparing a snack for the class. In order to prepare the powdered drink, the aide must convert the directions to metric. The directions say, 'Dilute contents of package in 2 quarts of water.' The aide has a measuring device marked in liters. How many liters of water should be used?

Correct answer: A

Rationale: To convert 2 quarts to liters, we can use the conversion factor that 1 quart is approximately equal to 0.95 liters. Therefore, 2 quarts would be approximately 1.9 liters, which is closest to 2 liters. As the measuring device is marked in liters, the teacher's aide should use 2 liters of water to dilute the contents of the package. Choice A is correct. Choice B is incorrect because it's the same as the original amount in quarts. Choice C is incorrect as it suggests using more water than necessary. Choice D is incorrect as it suggests using significantly more water than necessary.

4. Choose the meaning of the word 'mercurial' in the following sentence: 'Due to his mercurial temperament, Justin did not work well with others.'

Correct answer: B

Rationale: The word 'mercurial' in this sentence means unpredictable or prone to sudden changes in mood or behavior. Justin's temperament can be characterized as unpredictable, which is causing him to not work well with others. Choice A, 'Continuous,' does not align with the meaning of 'mercurial' as it implies a steady, uninterrupted flow. Choice C, 'Mercenary,' refers to being primarily motivated by money or reward, which is not the context here. Choice D, 'Miraculous,' means extraordinary or remarkable, which is not the intended meaning in this sentence.

5. What word is used incorrectly in the following sentence: 'Whoever wrote the letter forgot to sign their name.'

Correct answer: C

Rationale: The word 'their' is used incorrectly in the sentence because it is a plural pronoun while 'Whoever' is singular. In this case, 'his or her' should be used instead of 'their' to maintain subject-verb agreement. The other choices 'Whoever,' 'wrote,' and 'name' are used correctly in the sentence.

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