Nursing Elites

1. The order of operations (PEMDAS) dictates the sequence for evaluating mathematical expressions. If a = 2 and b = -3, what is the value of 3a^2 - 2ab + b^2?

• A. -3
• B. 0
• C. 33
• D. 15

Correct answer: C

Rationale: Given expression: 3a^2 - 2ab + b^2. Substitute the values of a and b: 3(2)^2 - 2(2)(-3) + (-3)^2 = 3(4) + 12 + 9 = 12 + 12 + 9 = 24 + 9 = 33. Therefore, the value of the expression is 33, which corresponds to option C. Options A, B, and D are incorrect as they do not accurately evaluate the expression with the given values of a and b.

2. If the regular price of a bar is $2.50, how much do you save per bar if you purchase a value pack of 8 bars for $20?

• A. 15¢
• B. 40¢
• C. 75¢
• D. $1.20

Correct answer: B

Rationale: To determine how much you save per bar when buying a value pack of 8 bars for $20, calculate the individual price per bar by dividing the total price by the number of bars: $20 ÷ 8 = $2.50 per bar. When the pack price is lower than the individual price, you save money. The saving per bar is found by subtracting the pack price from the individual price: $2.50 (individual price) - $2.50 (pack price) = $0.40. Therefore, you save 40 cents per bar by purchasing the value pack. Choice A, 15¢, is incorrect because the actual saving is $0.40. Choice C, 75¢, is incorrect as it doesn't match the calculated saving. Choice D, $1.20, is incorrect as it is not the actual amount saved per bar.

3. X/4 = 9/x, solve for x.

• A. x = 6
• B. x = 3
• C. x = 9
• D. x = 2

Correct answer: A

Rationale: To solve X/4 = 9/x, cross multiply to get x^2 = 36. Taking the square root of both sides gives x = 6. Choice A is correct because x = 6 satisfies the equation x^2 = 36. Choices B, C, and D are incorrect as they do not satisfy the equation when substituted back into it.

4. How many ounces are in 8 & 1/4 pints?

• A. 136 oz
• B. 128 oz
• C. 132 oz
• D. 130 oz

Correct answer: C

Rationale: To convert 8 1/4 pints to ounces, first convert the mixed number to an improper fraction: 8 1/4 = 33/4. There are 16 ounces in 1 pint. Now, multiply 33/4 by 16 ounces per pint: 33/4 x 16 = 132 ounces. Therefore, the correct answer is 132 oz. Choice A (136 oz) is incorrect because it does not result from the correct conversion. Choice B (128 oz) is incorrect as it is a miscalculation. Choice D (130 oz) is incorrect as well, not derived from the accurate conversion process.

5. Convert 26°C to Fahrenheit.

• A. 78°F
• B. 72°F
• C. 80°F
• D. 85°F

Correct answer: A

Rationale: To convert Celsius to Fahrenheit, the formula F = (9/5)C + 32 is used. Substituting 26°C into the formula: F = (9/5)(26) + 32 = 78.8°F, which rounds to 78°F. Therefore, the correct answer is 78°F. Choice B (72°F), Choice C (80°F), and Choice D (85°F) are incorrect as they do not result from the correct conversion calculation.

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