Nursing Elites

1. Four more than a number is 2 less than 5\6 of another number. Which equation represents this?

• A. x + 4 = 5\6y - 2
• B. x + 4 = 2 - 5\6y
• C. 4 + x = 5\6y + 2
• D. x + 4 = 5\6y - 2

Correct answer: A

Rationale: The equation that represents the relationship is x + 4 = 5\6y - 2.

2. Solve for x: x + 5 = x - 3.

• A. x = -5
• B. x = 5
• C. x = -3
• D. x = 3

Correct answer: A

Rationale: To solve the equation x + 5 = x - 3, we aim to isolate x. By subtracting x from both sides, we get 5 = -3, which is not possible. This indicates that the equation has no solution. Therefore, the correct answer is x = -5. Choices B, C, and D are incorrect as they do not yield a valid solution when substituted back into the original equation.

3. Joshua needs more than 92 points to qualify for a scholarship. Each question is worth 4 points, and there are 30 questions. What inequality determines how many questions he must answer correctly?

• A. 4x < 92
• B. 4x > 92
• C. 4x < 120
• D. 4x > 120

Correct answer: B

Rationale: To determine the number of questions Joshua must answer correctly, we divide the total points required (92) by the points per question (4) to get 23. Since he needs more than 92 points, he must answer more than 23 questions correctly, which is represented by the inequality 4x > 92. Choices A, C, and D are incorrect because they do not accurately reflect the requirement for Joshua to answer more than 92 points' worth of questions.

4. A car dealership’s commercials claim that this year’s models are 20% off the list price, plus they will pay the first 3 monthly payments. If a car is listed for $26,580, and the monthly payments are set at $250, what is the total potential savings?

• A. $1,282
• B. $5,566
• C. $6,066
• D. $20,514

Correct answer: C

Rationale: To calculate the total potential savings: First, find the 20% discount on the list price of $26,580: 0.20 × $26,580 = $5,316. Then, determine the savings over the first 3 months of payments: 3 months × $250/month = $750. Add the discount and the monthly payment savings to get the total potential savings: $5,316 + $750 = $6,066. Therefore, the correct answer is $6,066. Choice A, $1,282, is incorrect because it does not account for the total savings from both the discount and the monthly payments. Choice B, $5,566, is incorrect as it miscalculates the total savings by excluding the savings from the monthly payments. Choice D, $20,514, is incorrect as it does not consider the discount and only focuses on the list price.

5. If x represents the width of a rectangle and the length is six less than two times the width, which of the following expressions represents the length of the rectangle in terms of x?

• A. 2x-6
• B. 6-2x
• C. 6x-2
• D. 3x-4

Correct answer: A

Rationale: To find the expression representing the length of the rectangle in terms of x, we need to consider that the length is six less than two times the width. If we denote the width as x, the length can be expressed as 2x - 6. Therefore, the correct expression is 2x-6 (choice A). Choice B, 6-2x, represents the width subtracted from 6, not the length. Choice C, 6x-2, is not derived from the given information about the relationship between the width and length. Choice D, 3x-4, is not consistent with the relationship provided in the question.

Similar Questions