Correct Answer: D

Rationale:
To calculate the 30% increase, find 30% of 270 mg: 0.30 x 270 mg = 81 mg. Add this increase to the original dosage: 270 mg + 81 mg = 351 mg.
Therefore, the patient's dosage after the 30% increase will be 351 mg.
Choice A (81 mg) is incorrect as it only represents the calculated increase, not the total dosage post-increase.
Choice B (270 mg) is the original dosage and does not account for the 30% increase.
Choice C (300 mg) is the original dosage plus 30 mg, not the correct calculation with a 30% increase.

Correct Answer: C

Rationale:
To simplify the expression, first convert the mixed numbers into fractions: 4 * (2/3) · 1 * (1/6). This becomes 4 * 2/3 · 1 * 1/6. Next, perform the multiplication and division from left to right: 8/3 · 1 * 1/6 = 8/3 * 1 * 6 = 8/3 * 6 = 16.
Therefore, the correct answer is 4.
Choice A (2) is incorrect as it does not represent the final simplified expression.
Choice B (3 1/3) is incorrect as it does not match the result of simplifying the expression.
Choice D (4 1/2) is incorrect as it does not match the result of simplifying the expression.

Correct Answer: C

Rationale:
To find the fraction of the class wanting to work with the elderly, we convert the percentage to a fraction. 60% can be written as 60/100, which simplifies to 3/5.
Therefore, 3/5 of the class wanted to work with the elderly.
Choice A (1/4), choice B (1/10), and choice D (1/20) do not represent the fraction of the class wanting to work with the elderly, making them incorrect.

Correct Answer: A

Rationale: During week 1, Nurse Cameron worked 5 shifts. In week 2, she worked twice as many shifts as in week 1, which is 10 shifts. In week 3, she added 4 shifts to the number of shifts worked in week 2.
Therefore, the total shifts in week 3 can be calculated as (2)(5) + 4 = 10 + 4 = 14 shifts.
Choice A correctly represents this calculation.

Choices B, C, and D are incorrect because they do not accurately reflect the given scenario and the steps needed to find the total shifts in week 3.

Correct Answer: C

Rationale:
To solve the equation 3(x + 4) = 18, first distribute the 3 to both terms inside the parentheses: 3x + 12 = 18. Next, isolate the variable x by subtracting 12 from both sides: 3x = 6. Finally, divide by 3 to solve for x, giving x = 6.
Choice A, x = 2, is incorrect as the correct solution is x = 6.

Choices B (x = 4) and D (x = 8) are also incorrect as they do not satisfy the given equation.