Nursing Elites

1. Solve the inequality for the unknown.

• A. x > 5
• B. x < 5
• C. x >= 5
• D. x <= 5

Correct answer: A

Rationale: When solving an inequality, the direction of the inequality sign changes depending on the operation performed. In this case, if the given inequality simplifies to x > 5, it means that the unknown value x must be greater than 5 for the inequality to hold true. Therefore, x > 5 is the correct solution. Option A is correct. Choices B, C, and D are incorrect because they do not correctly represent the relationship between x and 5 based on the given inequality.

2. What is a quotient?

• A. The result of dividing two numbers
• B. The result of multiplying two numbers
• C. The number left after subtraction
• D. The number remaining after a division

Correct answer: A

Rationale: A quotient is the result of dividing one number by another. Choice A is correct because it accurately defines a quotient as the outcome of a division operation. Choice B is incorrect because it describes the result of multiplying two numbers, not dividing them. Choice C is incorrect because it refers to the remainder of a subtraction operation, not a division. Choice D is incorrect because it mentions the number remaining after a division, which is typically referred to as the remainder and not the quotient.

3. Round 8.067 to the nearest tenth.

• A. 8.1
• B. 8.1
• C. 8
• D. 8.11

Correct answer: A

Rationale: To round 8.067 to the nearest tenth, you look at the digit in the hundredth place, which is 6. Since 6 is equal to or greater than 5, you round up the digit in the tenth place. Therefore, 8.067 rounded to the nearest tenth is 8.1. Choice B (8.1) is incorrect as it duplicates the correct answer. Choice C (8) is incorrect as it does not account for the decimal part. Choice D (8.11) is incorrect as it rounds the number to the nearest hundredth, not the nearest tenth.

4. What is the surface area of the cylinder shown below?

• A. 602.9 cm²
• B. 904.3 cm²
• C. 1,408.7 cm²
• D. 1,507.2 cm²

Correct answer: D

Rationale: The surface area of a cylinder can be calculated using the formula: S = 2πr² + 2πrh, where r is the radius and h is the height. Substituting the values for radius (12) and height (8) into the formula: S = 2π(12)² + 2π(12)(8). S = 2π(144) + 2π(96). S = 288π + 192π. S = 480π ≈ 1507.964. Therefore, the surface area of the cylinder is approximately 1507.2 square centimeters. Choice A, 602.9 cm², is incorrect as it is significantly lower than the correct value. Choice B, 904.3 cm², is also incorrect as it does not match the calculated surface area. Choice C, 1,408.7 cm², is incorrect as it does not align with the calculated value of the surface area.

5. A sweater that normally sells for $78 is marked 15% off. Which of the following estimates the sale price of the sweater?

• A. $12
• B. $66
• C. $22
• D. $69

Correct answer: B

Rationale: To find the sale price after a 15% discount, you calculate 15% of $78, which is $11.70. Subtracting $11.70 from the original price gives $66.30. Since the price is typically rounded, the estimated sale price is $66. Choice A, $12, is too low and does not reflect a 15% discount off $78. Choice C, $22, and choice D, $69, are also incorrect as they do not accurately estimate the sale price after a 15% discount.

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