Nursing Elites

1. A set of integers can be classified as positive, negative, or zero. Which of the following statements about multiplying positive and negative integers is ALWAYS true?

• A. The product will always be positive.
• B. The product will always be negative.
• C. The product will depend on the specific positive and negative numbers used.
• D. Positive and negative integers cannot be multiplied.

Correct answer: B

Rationale: When multiplying a positive integer by a negative integer, the product will always be negative. This is a fundamental rule of arithmetic. The sign of the product is determined by the rule that states a positive number multiplied by a negative number results in a negative number. Therefore, the statement that the product will always be negative is always true when multiplying positive and negative integers. Choice A is incorrect because the product is not always positive when multiplying positive and negative integers. Choice C is incorrect because the product is not dependent on the specific numbers but on the signs of the integers being multiplied. Choice D is incorrect as positive and negative integers can be multiplied.

2. Convert the following decimal to a percent: 0.0068

• A. 0.68
• B. 6.8
• C. 0.068
• D. 0.0068

Correct answer: A

Rationale: To convert a decimal to a percent, move the decimal point two places to the right. Therefore, 0.0068 as a percentage is 0.68%. Choice A is correct because it represents the correct conversion. Choice B is incorrect as it would be the decimal 6.8 represented as a percentage. Choice C is incorrect as it would be the decimal 0.068 represented as a percentage. Choice D is incorrect as it is the original decimal value.

3. Solve for x: 3(x - 4) = 18.

• A. x = 10
• B. x = 12
• C. x = 5
• D. x = 3

Correct answer: A

Rationale: To solve the equation, begin by distributing the 3 on the left side: 3x - 12 = 18. Next, add 12 to both sides to isolate x: 3x = 30. Finally, divide by 3 to determine the value of x: x = 10. Therefore, the correct answer is x = 10. Choice B, x = 12, is incorrect as the correct value of x is 10, not 12. Choice C, x = 5, is incorrect as it does not satisfy the equation after substitution. Choice D, x = 3, is incorrect as it does not fulfill the equation when substituted back.

4. What is the probability of rolling a 3 on a six-sided die?

• A. 1/6
• B. 1/4
• C. 1/3
• D. 1/2

Correct answer: A

Rationale: The probability of rolling a specific number on a six-sided die is calculated by dividing the favorable outcomes (rolling a 3) by the total possible outcomes. In this case, there is 1 favorable outcome (rolling a 3) out of 6 total possible outcomes (numbers 1 to 6 on the die). Therefore, the probability of rolling a 3 is 1/6. Choice B (1/4), C (1/3), and D (1/2) are incorrect because they do not represent the correct calculation of the probability for rolling a 3 on a six-sided die.

5. Multiply: 5.04 × 2 =

• A. 1.008
• B. 10.08
• C. 10.8
• D. 18

Correct answer: B

Rationale: To multiply 5.04 by 2, you simply multiply the two numbers together: 5.04 x 2 = 10.08. Therefore, the correct answer is B. Choice A (1.008) is incorrect as it represents the result of dividing 5.04 by 5 instead of multiplying. Choice C (10.8) is incorrect as it is the result of rounding 10.08 to the nearest whole number. Choice D (18) is incorrect as it results from adding 5.04 and 2 instead of multiplying.

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