Nursing Elites

1. Which of the following is the greatest value?

• A. 43 ÷ 55
• B. 7 ÷ 5
• C. 0.729
• D. 73%

Correct answer: B

Rationale: To determine the greatest value among the choices, you need to convert all options to a common format. In this case, converting fractions to decimals will help compare them. When 7 ÷ 5 is calculated, it equals 1.4, which is greater than 0.729 (choice C) and 0.78 (choice A when rounded). The percentage 73% (choice D) is equivalent to 0.73, making 7 ÷ 5 the largest value. Therefore, the correct answer is B. Choice A is smaller than B, as 43 ÷ 55 equals approximately 0.78. Choice C is smaller than B, as 0.729 is less than 1.4. Choice D is smaller than B, as 73% is equal to 0.73, which is less than 1.4.

2. Simplify the expression: 2x + 3x - 5.

• A. 5x - 5
• B. 5x
• C. x - 5
• D. 2x - 5

Correct answer: A

Rationale: To simplify the expression 2𝑥 + 3𝑥 - 5, follow these steps: Identify and combine like terms. The terms 2𝑥 and 3𝑥 are both 'like terms' because they both contain the variable 𝑥. Add the coefficients of the like terms: 2𝑥 + 3𝑥 = 5𝑥. Simplify the expression. After combining the like terms, the expression becomes 5𝑥 - 5, which includes the simplified term 5𝑥 and the constant -5. Thus, the fully simplified expression is 5𝑥 - 5, making Option A the correct answer. This method ensures all terms are correctly simplified by combining similar elements and retaining constants.

3. What is the perimeter of a rectangle with a length of 7 cm and a width of 3 cm?

• A. 21 cm
• B. 10 cm
• C. 14 cm
• D. 20 cm

Correct answer: D

Rationale: To find the perimeter of a rectangle, you add the lengths of all its sides. In this case, the formula for the perimeter of a rectangle is 2*(length + width). Substituting the given values, we get: 2*(7 cm + 3 cm) = 2*(10 cm) = 20 cm. Therefore, the correct answer is 20 cm. Choice A (21 cm) is incorrect because it is the sum of the individual sides rather than the perimeter. Choice B (10 cm) is incorrect because it only represents one side of the rectangle. Choice C (14 cm) is incorrect as it is not the total perimeter of the rectangle.

4. A consumer makes a $400 down payment on a television that costs $1,570. Which of the following is the number of months it will take to pay off the television with monthly payments of $100?

• A. 12
• B. 16
• C. 15
• D. 11

Correct answer: A

Rationale: After the $400 down payment, the remaining balance is $1,170. With monthly payments of $100, it will take 12 months to pay off the remaining balance. Therefore, the correct answer is 12 months. Choice B (16) is incorrect as it exceeds the required timeframe. Choice C (15) is incorrect as it is close but still one month over the correct timeframe. Choice D (11) is incorrect as it underestimates the time needed to pay off the remaining balance.

5. John’s Gym charges its members according to the equation y = 40x, where x is the number of months and y represents the total cost to each customer after x months. Ralph’s Recreation Room charges its members according to the equation y = 45x. What relationship can be determined about the monthly cost to the members of each company?

• A. John’s monthly membership fee is equal to Ralph’s monthly membership fee.
• B. John’s monthly membership fee is more than Ralph’s monthly membership fee.
• C. John’s monthly membership fee is less than Ralph’s monthly membership fee.
• D. No relationship can be determined between the monthly membership fees.

Correct answer: C

Rationale: The equation y = 40x represents John's Gym charging $40 per month, while the equation y = 45x represents Ralph's Recreation Room charging $45 per month. Since $40 is less than $45, it can be concluded that John's Gym offers a lower monthly membership fee compared to Ralph's Recreation Room. Therefore, the correct answer is that John’s monthly membership fee is less than Ralph’s monthly membership fee. Choices A and B are incorrect because John's fee is not equal to or greater than Ralph's fee. Choice D is incorrect as there is a clear relationship indicating that John’s monthly membership fee is less than Ralph’s monthly membership fee.

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