Nursing Elites

1. What is the value of b in this equation? 5b - 4 = 2b + 17

• A. 13
• B. 24
• C. 7
• D. 21

Correct answer: C

Rationale: To find the value of b in the equation 5b - 4 = 2b + 17, you need to first simplify the equation. By subtracting 2b from both sides of the equation and adding 4 to both sides, you get 3b = 21. Then, dividing both sides of the equation by 3 gives you b = 7. Therefore, the value of b is 7, which corresponds to option C. Choice A (13) is incorrect as it does not match the correct calculation. Choice B (24) is incorrect as it is not the result of the correct algebraic manipulation. Choice D (21) is incorrect as it is not the value of b obtained after solving the equation step by step.

2. In a study where 60% of respondents use smartphones to check their email, and 5,000 respondents were included, how many respondents use smartphones for email?

• A. 3,000 respondents
• B. 2,500 respondents
• C. 5,000 respondents
• D. 1,000 respondents

Correct answer: A

Rationale: In the study, 60% of 5,000 respondents using smartphones for email would equal 3,000 respondents, not the total number of respondents. Therefore, the correct answer is 3,000 respondents. Choice B, 2,500 respondents, is incorrect because it doesn't consider the percentage of smartphone users. Choice C, 5,000 respondents, is incorrect as it represents the total number of respondents, not the specific number using smartphones for email. Choice D, 1,000 respondents, is incorrect as it is not the correct calculation based on the given information.

3. "is" in math means what?

• A. Equals
• B. Multiply
• C. Subtract
• D. Add

Correct answer: A

Rationale: In mathematics, "is" signifies equality, meaning that the values or expressions on both sides of the equation are the same. For example, in the equation 2+2=4, the phrase "2 + 2 is 4" indicates that the sum of 2 and 2 equals 4. "Multiply" refers to the operation of combining two numbers to obtain a product. For instance, in the expression 3×4, we multiply 3 by 4 to get 12. "Subtract" means to take one number away from another, resulting in a difference. For example, in 5−2, we subtract 2 from 5 to get 3. "Add" refers to the operation of combining two numbers to get a sum. For example, in 2+3, we add 2 and 3 to get 5.

4. Solve for x: 4(2x - 6) = 10x - 6

• A. x = 5
• B. x = -7
• C. x = -9
• D. x = 10

Correct answer: C

Rationale: To solve the equation 4(2x - 6) = 10x - 6, first distribute 4 into the parentheses: 8x - 24 = 10x - 6. Next, simplify the equation by rearranging terms: 8x - 10x = -6 + 24, which gives -2x = 18. Solving for x by dividing by -2 on both sides gives x = -9. Therefore, the correct answer is x = -9. Choice A (x = 5), Choice B (x = -7), and Choice D (x = 10) are incorrect solutions obtained by errors in solving the equation.

5. Which of the following is the correct simplification of the expression below? 12 ÷ 3 × 4 - 1 + 23

• A. 6
• B. 21
• C. 38
• D. 23

Correct answer: C

Rationale: The correct order of operations dictates solving division and multiplication before addition and subtraction. Therefore, following the order: (12 ÷ 3) × 4 - 1 + 23 = 4 × 4 - 1 + 23 = 16 - 1 + 23 = 38. Choice A (6) results from adding and subtracting before division and multiplication. Choice B (21) results from incorrect placement of parentheses. Choice D (23) is the last number in the expression and does not reflect the cumulative result of the operations.

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