Nursing Elites

1. Solve for x in the equation: 3x - 5 = 16

• A. 7
• B. 5
• C. 8
• D. 9

Correct answer: C

Rationale: To solve for x, add 5 to both sides of the equation: 3x - 5 + 5 = 16 + 5, which simplifies to 3x = 21. Next, divide both sides by 3: x = 21 ÷ 3 = 7. Therefore, the correct answer is x = 7, making option A the correct choice. Option C, '8,' is incorrect as it is not the solution obtained from the correct calculations. Options B and D, '5' and '9,' are also incorrect and not the solution to the given equation.

2. What is the result when the number 1 is raised to ANY power?

• A. One
• B. Itself
• C. Zero
• D. Two

Correct answer: A

Rationale: The correct answer is A: 'One.' When the number 1 is raised to any power, the result is always 1. This is a fundamental mathematical property where any number raised to the power of 0 equals 1. Choices B, C, and D are incorrect. Choice B 'Itself' is vague and does not provide a clear mathematical result. Choice C 'Zero' is incorrect as 1 raised to any power is not zero. Choice D 'Two' is incorrect as the result of raising 1 to any power is always 1, not 2.

3. In Mrs. McConnell's classroom, there are 14 students with brown eyes and 2 students with green eyes. What is the ratio of students with brown eyes to students with green eyes?

• A. 7:1
• B. 7:2
• C. 14:2
• D. 14:1

Correct answer: A

Rationale: The correct answer is A: 7:1. To find the ratio, divide the number of students with brown eyes (14) by the number of students with green eyes (2), which equals 7. Therefore, the ratio of students with brown eyes to students with green eyes is 7:1. Choice B (7:2) is incorrect as it does not accurately represent the ratio of students with brown eyes to green eyes. Choice C (14:2) is incorrect because the ratio should be simplified, and 14:2 simplifies to 7:1. Choice D (14:1) is incorrect as it does not consider the number of students with green eyes.

4. Two even integers and one odd integer are multiplied together. Which of the following could be their product?

• A. 3.75
• B. 9
• C. 16.2
• D. 24

Correct answer: D

Rationale: When multiplying two even integers and one odd integer, the product will always be even. This is because multiplying any number of even integers will always result in an even number. Therefore, the only possible product from the given options is 24, as it is the only even number listed. Choices A, B, and C are incorrect as they are all odd numbers, and the product of two even integers and one odd integer will never result in an odd number.

5. Alan currently weighs 200 pounds, but he wants to lose weight to get down to 175 pounds. What is the difference in kilograms? (1 pound is approximately equal to 0.45 kilograms.)

• A. 9 kg
• B. 11.25 kg
• C. 78.75 kg
• D. 90 kg

Correct answer: B

Rationale: The difference between Alan's current weight of 200 pounds and his goal weight of 175 pounds is 25 pounds (200 pounds - 175 pounds). To convert pounds to kilograms, you multiply the number of pounds by 0.45 (not divide by 2.2). Thus, 25 pounds is approximately 11.25 kilograms (25 pounds x 0.45). Therefore, the difference in kilograms is 11.25 kg. Choice A is incorrect because it miscalculates the conversion. Choices C and D are significantly higher values and do not reflect the correct conversion from pounds to kilograms.

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