Nursing Elites

1. What is the result of adding 1/6 and 1/2, expressed in reduced form?

• A. 9/7
• B. 1/3
• C. 31/36
• D. 3/5

Correct answer: B

Rationale: To add 1/6 and 1/2, you need a common denominator, which is 6. So, 1/6 + 3/6 = 4/6. Simplifying 4/6 gives 2/3, which is the correct answer (1/3). Choices A, C, and D are incorrect as they do not represent the correct sum of the fractions 1/6 and 1/2.

2. What is the domain for the function f(x)=2x+5?

• A. All real numbers
• B. x ≥ 0
• C. x > 0
• D. x ≤ 0

Correct answer: A

Rationale: The domain of a function represents all possible input values that the function can accept. In this case, the function f(x)=2x+5 is a linear function, and linear functions have a domain of all real numbers. This means that any real number can be substituted for x in the function f(x)=2x+5, making choice A, 'All real numbers,' the correct domain for this function. Choices B, C, and D, restrict the domain unnecessarily by limiting the values of x to specific subsets of real numbers, which does not accurately reflect the nature of the given function.

3. How do you find the factors of a number?

• A. Divide the number by all possible numbers
• B. Find all pairs of numbers that multiply to give the number
• C. List all the multiples of the number
• D. Add the digits of the number together

Correct answer: B

Rationale: The correct way to find the factors of a number is to identify all pairs of numbers that, when multiplied together, result in the given number. This method allows you to determine all the factors of the number. Choice A is incorrect because dividing the number by all possible numbers is not an efficient way to find its factors. Choice C is incorrect as listing all the multiples of the number does not give the factors. Choice D is unrelated to finding factors as adding the digits of a number together does not provide information about its factors.

4. x ÷ 7 = x − 36. Solve the equation. Which of the following is correct?

• A. x = 6
• B. x = 42
• C. x = 4
• D. x = 252

Correct answer: B

Rationale: To solve the equation x ÷ 7 = x − 36, start by multiplying both sides by 7 to get 7(x ÷ 7) = 7(x − 36), which simplifies to x = 7x − 252. Next, subtract 7x from both sides to get -6x = -252. Finally, divide both sides by -6 to solve for x, which results in x = 42. Therefore, the correct answer is x = 42. Choice A (x = 6), Choice C (x = 4), and Choice D (x = 252) are incorrect as they do not align with the correct solution derived from the equation.

5. Which of the following options correctly orders the numbers below from least to greatest? 235.971, 145.884, -271.906, -193.823

• A. -271.906, -193.823, 145.884, 235.971
• B. -271.906, 235.971, -193.823, 145.884
• C. 145.884, -193.823, 235.971, -271.906
• D. -193.823, -271.906, 145.884, 235.971

Correct answer: A

Rationale: To correctly order the numbers from least to greatest, we start with the smallest number, which is -271.906, followed by -193.823, 145.884, and finally 235.971. Therefore, the correct order is -271.906, -193.823, 145.884, 235.971. Choice A is correct. Choice B is incorrect as it incorrectly places 235.971 before -193.823. Choice C is incorrect as it starts with the largest number, 145.884. Choice D is incorrect as it starts with -193.823, which is not the smallest number in the list.

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