Nursing Elites

1. If a product's original price is $80 and it is discounted by 20%, what is the final price?

• A. 64
• B. 60
• C. 70
• D. 66

Correct answer: A

Rationale: To find the discounted price, you first calculate 20% of the original price: 20% of $80 is $16. Subtracting this discount amount from the original price gives the final price: $80 - $16 = $64. Therefore, the final price after a 20% discount on a product originally priced at $80 is $64. Choice B, $60, is incorrect because it does not account for the correct discount amount. Choice C, $70, is incorrect as it does not reflect the reduction due to the 20% discount. Choice D, $66, is incorrect as it miscalculates the discounted price.

2. Solve the equation 3(2x+5)=11x+5 for x. Which of the following is correct?

• A. 1
• B. 2
• C. -1
• D. -2

Correct answer: B

Rationale: To solve the equation, distribute 3 to both terms inside the parentheses: 6x + 15 = 11x + 5. Then, move 11x to the left side by subtracting it from both sides: 6x - 11x = 5 - 15. Simplify to get -5x = -10. Divide by -5 to isolate x: x = 2. Therefore, the correct answer is x = 2. Choices A, C, and D are incorrect because they do not match the correct solution obtained by solving the equation step by step.

3. A farmer plans to install fencing around a certain field. If each side of the hexagonal field is 320 feet long, and fencing costs $75 per foot, how much will the farmer need to spend on fencing material to enclose the perimeter of the field?

• A. $2,240
• B. $2,800
• C. $3,360
• D. $4,480

Correct answer: C

Rationale: The field is a hexagon with six equal sides, each 320 feet long. To find the total cost of fencing material needed, multiply the cost per foot ($75) by the total perimeter of the field (6 sides x 320 feet). Therefore, the total cost will be $75 x 6 x 320 = $3,360. Thus, the farmer will need to spend $3,360 on fencing material. Choice A, $2,240, is incorrect as it does not account for the total perimeter of the field. Choice B, $2,800, is incorrect as it underestimates the total cost by not considering all sides of the hexagon. Choice D, $4,480, is incorrect as it overestimates the total cost by multiplying incorrectly or considering extra sides.

4. In a research study, a researcher collects data on the number of hours spent studying and the grades students received. Which of the following is the dependent variable?

• A. The number of hours spent studying
• B. The grades students received
• C. The subjects students studied
• D. The number of students in the study

Correct answer: B

Rationale: The correct answer is B: 'The grades students received.' In this scenario, the grades students received are the dependent variable because they are influenced by the number of hours spent studying. The grades are the outcome that is being measured based on the manipulation or observation of the independent variable, which in this case is the number of hours spent studying. Choices A, C, and D are incorrect. The number of hours spent studying is the independent variable being manipulated or observed, the subjects students studied is not directly related to the dependent variable, and the number of students in the study is not the variable being measured or influenced by the independent variable.

5. Simplify the following expression: (3)(-4) + (3)(4) - 1

• A. -1
• B. 1
• C. 23
• D. 24

Correct answer: A

Rationale: To solve the expression, first calculate the multiplication: (3)(-4) = -12 and (3)(4) = 12. Then, substitute the results back into the expression: (-12) + 12 - 1 = -1. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not result from the correct calculations of the given expression.

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