solve for x 2 5 64 x
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HESI A2

HESI A2 Math Practice Test

1. Solve for x: 2 : 5 :: 64 : x

Correct answer: C

Rationale: The symbol '::' represents a proportion in which the first pair of numbers is related to the second pair of numbers. To solve for x in the proportion 2 : 5 :: 64 : x, you can set up a proportion equation: 2/5 = 64/x. Cross-multiplying gives you 2x = 5 * 64, which simplifies to 2x = 320. Dividing both sides by 2, you get x = 160. Therefore, x = 128 is the correct answer. Choice A (32) is incorrect as it is not the result of solving the proportion equation. Choice B (70) is incorrect as it is not related to the given proportion. Choice D (160) is a common mistake made by wrongly interpreting the equation; the correct value of x is 128.

2. Select the meaning of the word 'tenuous' in the sentence: 'Patients in this wing often have a tenuous hold on reality.'

Correct answer: D

Rationale: In this context, the word 'tenuous' is used to describe a weak or delicate hold on reality. 'Fragile' is the correct choice as it conveys the idea of something being easily broken or damaged, which aligns with the meaning of 'tenuous' in the sentence. Choice A, 'Judicious,' means having good judgment, which is unrelated to the context. Choice B, 'Deleted,' means removed or erased, which is not synonymous with 'tenuous.' Choice C, 'Frantic,' means panicked or desperate, which does not capture the delicate or weak nature implied by 'tenuous.'

3. Children generally ______ with others of the same size and age.

Correct answer: A

Rationale: The correct answer is 'Play' because 'Children' is a plural subject and requires the base form of the verb. When referring to a plural subject like 'Children,' the verb should be in its base form without an added 's' or 'ed.' In this context, 'Play' is the appropriate form to use to match the subject 'Children.' Choice B, 'Plays,' is incorrect because it is the singular form of the verb and does not agree with the plural subject 'Children.' Choice C, 'Played,' is incorrect as it is the past tense form of the verb and does not fit the present tense context of the sentence. Choice D, 'Playing,' is incorrect as it is the present participle form of the verb and does not match the simple present tense needed in the sentence.

4. What are plasma membranes mostly made of?

Correct answer: C

Rationale: The correct answer is C: Lipids. Plasma membranes are primarily composed of lipids, specifically phospholipids, which form a lipid bilayer. While proteins are also an essential component of plasma membranes, they are not the primary constituent. Carbohydrates are present on the outer surface of the membrane but are not the main structural component. Nucleotides are the building blocks of nucleic acids like DNA and RNA and are not the main constituents of plasma membranes.

5. Multiply: 2 × 5 =

Correct answer: D

Rationale: When you multiply 2 by 5, the result is 10, not 13. Therefore, the correct answer is 10, which is option D. Choices A, B, and C are incorrect because they do not represent the correct product of multiplying 2 by 5.

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