Nursing Elites

1. What is the result of (4.71 × 10^3) - (2.98 × 10^2)? Which of the following is the correct simplified expression?

• A. 1.73 × 10
• B. 4.412 × 10^2
• C. 1.73 × 10^3
• D. 4.412 × 10^3

Correct answer: D

Rationale: The correct answer is D: 4.412 × 10^3. To simplify the expression, rewrite 4.71 × 10^3 as 47.1 × 10^2. Subtract the values in front of 10^2: 47.1 - 2.98 = 44.12. Rewriting this gives 44.12 × 10^2 = 4.412 × 10^3. Choice A is incorrect as it does not account for the correct subtraction result. Choice B is incorrect as it does not correctly simplify the expression. Choice C is incorrect as it provides an incorrect power of 10 in the simplified expression.

2. Can a rational number be a fraction or decimal, or must it be a whole number?

• A. It must be a whole number
• B. It can be a fraction or decimal
• C. It can be any of the three
• D. It cannot be a decimal

Correct answer: C

Rationale: The correct answer is C. A rational number can be a whole number, fraction, or decimal. A rational number is any number that can be expressed as a ratio of two integers (where the denominator is not zero), which includes whole numbers, fractions, and decimals. Choice A is incorrect because rational numbers are not limited to being whole numbers. Choice B is incorrect because a rational number can be a fraction, decimal, or whole number. Choice D is incorrect because rational numbers can definitely be decimals, as long as the decimal representation is either terminating or repeating.

3. Which of the following statements demonstrates a negative correlation between two variables?

• A. People who play baseball more tend to have more hits
• B. Shorter people tend to weigh less than taller people
• C. Tennis balls that are older tend to have less bounce
• D. Cars that are older tend to have higher mileage

Correct answer: C

Rationale: The correct answer is C. This statement demonstrates a negative correlation between two variables as it indicates that as tennis balls age, their bounce tends to decrease. In a negative correlation, as one variable increases, the other tends to decrease. Choices A, B, and D do not illustrate a negative correlation. Choice A describes a positive correlation, as playing baseball more is associated with having more hits. Choice B does not show a correlation but a general observation. Choice D also does not demonstrate a correlation; it simply states that older cars tend to have higher mileage, without implying a relationship between age and mileage.

4. If 5y - 7 = 13, what is y?

• A. 4
• B. 5
• C. 6
• D. 7

Correct answer: A

Rationale: To solve the equation 5y - 7 = 13, start by adding 7 to both sides to isolate the term with y: 5y = 20. Then, divide by 5 to solve for y, which gives y = 4. Therefore, the correct answer is A. Choice B, C, and D are incorrect as they do not yield the correct solution when substituted into the equation. It's important to follow the proper steps in solving linear equations to arrive at the correct answer.

5. Which of the following is not a negative value?

• A. (−3)(−1)(2)(−1)
• B. 14 – 7 + (−7)
• C. 7 – 10 + (−8)
• D. −5(−2)(−3)

Correct answer: B

Rationale: To identify the negative value, simplify each expression. A) simplifies to 6 which is positive. B) simplifies to 0 which is neither positive nor negative. C) simplifies to -11 which is negative. D) simplifies to -30 which is negative. Therefore, only choice B results in a non-negative value, making it the correct answer.

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