solve the proportion find the value of x 914 x56
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HESI A2

HESI A2 Math Practice Test 2022

1. Solve the proportion (find the value of x): 9:14 = x:56.

Correct answer: C

Rationale: To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.

2. Select the word or phrase that is misplaced in the following sentence: The book is in my locker at school that is long overdue.

Correct answer: D

Rationale: The phrase 'that is long overdue' is misplaced in the sentence as it disrupts the flow. Placing it after 'The book' would enhance clarity and coherence. This adjustment ensures the phrase directly describes the book rather than the school, improving the logical and coherent connection within the sentence structure. Choices A, B, and C are correctly positioned and contribute to a clear and coherent sentence about the location of the book.

3. Which of the following statements is an opinion related to MRSA?

Correct answer: C

Rationale: The correct answer is C because it is an opinion rather than a verifiable fact. The statement suggests a recommendation for hospitals to adopt new germ-fighting textiles swiftly, which is a subjective viewpoint and not objectively measurable. Choices A and B are factual statements regarding combating MRSA infection and antibiotic resistance, respectively. Choice D provides a comparison of MRSA infection with HIV/AIDS, which is a factual statement based on statistical data. Therefore, C is the only choice that presents an opinion rather than a fact.

4. You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups into the mixing bowl with the dry ingredients. How much more water in cups do you need to add?

Correct answer: A

Rationale: To find how much more water is needed, subtract 1/3 cup from 4/5 cup. First, find a common denominator: The least common denominator between 5 and 3 is 15. Convert the fractions: 4/5 = 12/15, 1/3 = 5/15. Now, subtract: 12/15 - 5/15 = 7/15. Therefore, you need to add 7/15 cups of water. Choice B (2/3 cups) is incorrect because it does not represent the correct amount of additional water needed. Choice C (1/3 cups) is incorrect because this is the amount of water that was accidentally added. Choice D (1/15 cups) is incorrect as it does not reflect the correct calculation of the additional water required.

5. What does the word 'composed' mean in the passage on the Water Cycle?

Correct answer: A

Rationale: In the context of the Water Cycle, 'composed' means 'to consist of' parts. For instance, water is composed of hydrogen and oxygen atoms. Therefore, the correct meaning of 'composed' in this context is to consist of various components. Choice B, 'To create,' is incorrect as 'composed' refers to the makeup of something rather than the act of making or creating. Choices C and D, 'To separate' and 'To destroy,' are also incorrect as they do not align with the meaning of 'composed' in the passage.

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