Nursing Elites

1. The cost of renting a bicycle is $3.60 per hour. Which equation shows the best relationship between the total cost (C) and the number of hours (h) rented?

• A. C = 3.60h
• B. C = h + 3.60
• C. C = 3.60h + 10.80
• D. C = 10.80h

Correct answer: A

Rationale: The best relationship is C = 3.60h because the cost increases by $3.60 for each hour of rental. This equation represents a linear relationship where the total cost (C) is directly proportional to the number of hours rented (h). Choice B (C = h + 3.60) is incorrect because it wrongly assumes a fixed additional cost of $3.60 regardless of the number of hours rented. Choice C (C = 3.60h + 10.80) is incorrect as it overestimates the initial cost. Choice D (C = 10.80h) is incorrect as it implies a constant rate of $10.80 per hour, which is not the case.

2. A patient requires a 30% increase in the dosage of their medication. Their current dosage is 270 mg. What will their dosage be after the increase?

• A. 81 mg
• B. 270 mg
• C. 300 mg
• D. 351 mg

Correct answer: D

Rationale: To calculate a 30% increase from the current dosage of 270 mg, first find 30% of 270, which is 81 mg. Add this 81 mg increase to the original dosage of 270 mg to get the new dosage, which is 351 mg (270 mg + 81 mg = 351 mg). Therefore, the correct answer is 351 mg. Choice A (81 mg) is incorrect because this value represents only the calculated 30% increase, not the total dosage after the increase. Choice B (270 mg) is the original dosage and does not account for the 30% increase. Choice C (300 mg) is close to the correct answer but does not consider the precise 30% increase calculation, leading to an incorrect total dosage.

3. Solve for x: 3(x + 4) = 18

• A. x = 2
• B. x = 4
• C. x = 6
• D. x = 8

Correct answer: C

Rationale: To solve the equation 3(x + 4) = 18, first distribute the 3 to both terms inside the parentheses: 3x + 12 = 18. Next, isolate the variable x by subtracting 12 from both sides: 3x = 6. Finally, divide by 3 to solve for x, giving x = 6. Choice A, x = 2, is incorrect as the correct solution is x = 6. Choices B (x = 4) and D (x = 8) are also incorrect as they do not satisfy the given equation.

4. Three friends are sharing a burger. One friend eats a quarter of the burger. The other two friends equally divide the rest among themselves. What portion of the burger did each of the other two friends receive?

• A. 6-Jan
• B. 4-Jan
• C. 4-Mar
• D. 8-Mar

Correct answer: D

Rationale: After one friend eats a quarter of the burger, 3/4 of the burger remains. Dividing this equally between the other two friends means each receives 3/8 of the whole burger. Therefore, the correct answer is 8-Mar. Choice A (6-Jan), Choice B (4-Jan), and Choice C (4-Mar) are incorrect as they do not accurately represent the portion each of the other two friends receives after one friend consumes a quarter of the burger.

5. Simplify the expression. Which of the following is correct? (52(3) + 3(-2)^2 / 4 + 3^2 - 2(5 - 8))

• A. 9/8
• B. 87/19
• C. 9
• D. 21/2

Correct answer: B

Rationale: To simplify the expression, apply the order of operations (PEMDAS). Begin by squaring -2 to get 4. Then perform the multiplication and subtraction within parentheses: 52(3) + 3(4)/4 + 9 - 2(5 - 8) = 156 + 12/4 + 9 - 2(3) = 156 + 3 + 9 - 6 = 168 + 3 - 6 = 171 - 6 = 165. Therefore, the correct simplified expression is 165, which is equivalent to 87/19. Choices A, C, and D are incorrect because they do not represent the accurate simplification of the given expression.

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