Nursing Elites

1. Simplify the expression. Which of the following is the value of x? (5(4x – 5) = (3/2)(2x – 6))

• A. −(2/7)
• B. −(4/17)
• C. (16/17)
• D. (8/7)

Correct answer: C

Rationale: To solve the given proportion 5(4x – 5) = (3/2)(2x – 6), first distribute to get 20x - 25 = 3x - 9. Then, simplify the linear equation by isolating x: 20x - 3x = 25 - 9, which leads to 17x = 16. Finally, solving for x gives x = 16/17. Choice A is incorrect as it does not match the calculated value of x. Choice B is incorrect as it does not correspond to the correct solution for x. Choice D is incorrect as it does not align with the accurate value of x obtained from solving the equation.

2. Joshua is taking a test with 30 questions. To qualify for an academic scholarship, he needs to answer at least 80% of the questions correctly. What is the minimum number of questions Joshua must answer correctly to qualify for the scholarship?

• A. 23
• B. 24
• C. 26
• D. 27

Correct answer: B

Rationale: To qualify for an academic scholarship, Joshua needs to answer at least 80% of the 30 test questions correctly. 80% of 30 is 24, so Joshua must answer at least 24 questions correctly to qualify for the scholarship. Choice A (23) is incorrect as it is below the minimum required percentage. Choices C (26) and D (27) are also incorrect as they exceed the minimum number of questions Joshua needs to answer correctly for the scholarship.

3. Which of the following is NOT a way to write 40 percent of N?

• A. 0.4N
• B. N/40
• C. 2/5 N
• D. 40N/100

Correct answer: B

Rationale: The correct answer is B: N/40. To find 40% of N, you multiply N by 0.4, so 0.4N is the correct representation. Choice B, N/40, is incorrect because dividing N by 40 does not give you 40% of N. Choice C, 2/5 N, is equivalent to 40% of N since 2/5 is the same as 40% when simplified. Choice D, 40N/100, is also correct since 40% can be represented as 40/100, which simplifies to 0.4, making 40N/100 another valid way to write 40% of N.

4. If (D) is the distance traveled and (R) is the rate of travel, which of the following represents the relationship between D and R for the equation D=2R?

• A. D is twice as much as R
• B. R is twice as much as D
• C. R is two times D
• D. D is two more than R

Correct answer: A

Rationale: The equation D=2R means that D equals 2 times R, which translates to D being twice the value of R. Therefore, choice A, 'D is twice as much as R,' is the correct representation of the relationship between D and R. Choice B, 'R is twice as much as D,' incorrectly reverses the roles of D and R. Choice C, 'R is two times D,' incorrectly states the relationship between R and D. Choice D, 'D is two more than R,' does not accurately reflect the relationship presented in the equation.

5. Based on a favorable performance review at work, Matt receives a 3/20 increase in his hourly wage. If his original hourly wage is represented by w, which of the following represents his new wage?

• A. 0.15w
• B. 0.85w
• C. 1.12w
• D. 1.15w

Correct answer: D

Rationale: To calculate Matt's new wage after a 3/20 increase, we need to add this percentage increase to his original wage. The increase in decimal form is 3/20 = 0.15. Therefore, the new wage is w + w(0.15) = w(1 + 0.15) = 1.15w. This means the correct answer is D. Choices A, B, and C are incorrect because they do not account for the full 3/20 increase in the wage. Choice A (0.15w) represents only the increase percentage, not the total new wage. Choice B (0.85w) and Choice C (1.12w) do not accurately calculate the new wage after the increase, leading to incorrect representations of the final wage.

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