if x 2 and m 3 evaluate xm 2m
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HESI A2

HESI A2 Practice Test Math

1. If x = -2 and m = -3, evaluate: xm - 2m

Correct answer: A

Rationale: Substitute x = -2 and m = -3 into the expression: (-2) * (-3) - 2 * (-3) = 6 + 6 = 12. Therefore, the correct answer is 12. The mistake in the other choices lies in the calculation. Choice B, 6, is the result of adding the two terms instead of subtracting the second term from the first. Choice C, 8, and Choice D, 10, are also incorrect as they do not follow the correct calculation process.

2. A group of 8 friends went out to eat at a restaurant. They decided to split the bill evenly. If the bill totaled $120, how much did each friend pay?

Correct answer: A

Rationale: To determine how much each friend paid, divide the total bill amount by the number of friends. In this scenario, $120 ÷ 8 friends = $15. Therefore, each friend paid $15. Choice B ($10) is incorrect because dividing $120 by 8 does not yield $10. Choice C ($12) is incorrect because dividing $120 by 8 does not yield $12. Choice D ($20) is incorrect because dividing $120 by 8 does not yield $20.

3. In order, from lower to upper, the layers of the atmosphere are:

Correct answer: B

Rationale: The correct order of the layers of the atmosphere, from lower to upper, is troposphere, stratosphere, mesosphere, thermosphere, exosphere. The troposphere is the lowest layer where weather phenomena occur. The stratosphere contains the ozone layer, which absorbs and scatters the solar ultraviolet radiation. The mesosphere is where most meteorites burn up upon entering the Earth's atmosphere. The thermosphere is characterized by high temperatures due to the absorption of solar radiation. The exosphere is the outermost layer where the atmosphere transitions into space. Therefore, option B is the correct sequence, as it reflects the ascending order of the Earth's atmospheric layers.

4. Select the word that makes this sentence grammatically correct: 'Is the new student coming out to lunch with ____?'

Correct answer: C

Rationale: In this sentence, 'us' is the correct pronoun to use. The sentence should read, 'Is the new student coming out to lunch with us?' 'Us' is the objective pronoun that functions as the object of the preposition 'with.' Choice A, 'we,' is incorrect because 'we' is a subject pronoun and does not fit the prepositional phrase 'with us.' Choice B, 'our,' is a possessive pronoun, which is also incorrect in this context. Choice D, 'they,' is a subject pronoun and does not agree with the preposition 'with.' Therefore, the correct answer is 'C: us.'

5. What punctuation is needed in the following sentence to make it correct? The days seem long, but the nights seem even longer.

Correct answer: B

Rationale: The sentence needs a comma before the conjunction 'but' to correctly join the two independent clauses 'The days seem long' and 'the nights seem even longer.' This comma helps to create a clear separation between the contrasting ideas in the sentence. Choice A (Period) is incorrect because a period would create two separate sentences rather than connecting them. Choice C (Colon) is incorrect as colons are used to introduce lists, explanations, or quotations. Choice D (Apostrophe) is incorrect as it is not needed in this sentence.

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