Nursing Elites

1. Arrange the following numbers from least to greatest: 7/3, 9/2, 10/9, 7/8

• A. 10/9, 7/3, 9/2, 7/8
• B. 9/2, 7/3, 10/9, 7/8
• C. 7/3, 9/2, 10/9, 7/8
• D. 7/8, 10/9, 7/3, 9/2

Correct answer: D

Rationale: To arrange the numbers from least to greatest, first convert them to decimals: 1. 7/3 is approximately 2.33 2. 9/2 equals 4.5 3. 10/9 is approximately 1.11 4. 7/8 equals 0.875 Now, arrange the decimals from least to greatest: 0.875 (7/8), 1.11 (10/9), 2.33 (7/3), 4.5 (9/2). Therefore, the correct order is 7/8, 10/9, 7/3, 9/2. Choice A is incorrect because it doesn't follow the correct order. Choice B is incorrect as it places 9/2 before 7/3, which is not the right arrangement. Choice C is incorrect as it places 7/3 before 9/2 and 10/9, which is incorrect. Thus, the correct answer is choice D.

2. What is the mathematical expression for 'Twelve less than thrice a number'?

• A. 3x-12
• B. 12-3x
• C. 3-12x
• D. 12x-3

Correct answer: A

Rationale: The phrase 'thrice a number' translates to 3x, and 'twelve less than' means subtracting 12 from it. Therefore, the correct expression is 3x-12. Choice B, '12-3x', represents '12 less than a number thrice,' which is the opposite of the given phrase. Choice C, '3-12x', does not correctly interpret the phrase provided. Choice D, '12x-3', represents 'a number thrice less than twelve,' which is not the same as the original phrase.

3. A soccer field is rectangular in shape and is 100 meters long and 75 meters wide. The hectare is a metric unit of area often used to measure larger areas. Given that 1 hectare = 10,000 square meters, which of the following represents the soccer field’s area in hectares?

• A. 0.75 hectares
• B. 7.5 hectares
• C. 7,500 hectares
• D. 75,000,000 hectares

Correct answer: A

Rationale: To find the area of the soccer field, multiply its length by its width: 100 meters × 75 meters = 7500 square meters. To convert this to hectares, divide by 10,000 (since 1 hectare = 10,000 square meters), resulting in 0.75 hectares. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not correctly convert the area to hectares. B and C are off by a factor of 10, while D is off by a factor of 10,000.

4. A patient is prescribed 5 mg of medication per kilogram of body weight. If the patient weighs 60 kg, how many milligrams of medication should the patient receive?

• A. 100 mg
• B. 150 mg
• C. 300 mg
• D. 400 mg

Correct answer: C

Rationale: The correct calculation to determine the medication dosage for a patient weighing 60 kg is: 5 mg/kg x 60 kg = 300 mg. Therefore, the patient should receive 300 mg of medication. Choice A (100 mg) is incorrect as it does not account for the patient's weight. Choice B (150 mg) is incorrect as it miscalculates the dosage. Choice D (400 mg) is incorrect as it overestimates the dosage based on the patient's weight.

5. Solve this equation: 2x+8=0

• A. -4
• B. 3
• C. 5
• D. 0

Correct answer: A

Rationale: To solve 2 𝑥 + 8 = 0 2x+8=0: Subtract 8 from both sides: 2 𝑥 = − 8 2x=−8 Divide both sides by 2: 𝑥 = − 8 2 = − 4 x= 2 −8 ​ =−4 Therefore, the solution is 𝑥 = − 4 x=−4.

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