ATI TEAS Math Practice Test

Correct Answer: C

Rationale: To find the final dosage, we first reduce 310 mg by 1/5, which is 310 * (1 - 1/5) = 248 mg. Then, we further reduce it by 20 mg, resulting in 248 - 20 = 228 mg. Therefore, the patient's final dosage is 228 mg. Option A (20 mg) is incorrect because it only accounts for the second reduction. Option B (42 mg) is incorrect as it doesn't consider both reductions. Option D (248 mg) is incorrect as it doesn't factor in the second reduction.

Correct Answer: B

Rationale: To convert decimeters to centimeters, we use the conversion factor: 1 decimeter = 10 centimeters. Given the book's width is 2.5 decimeters, we multiply 2.5 by 10 to get the width in centimeters, which equals 25 centimeters. Therefore, choice B (25 centimeters) is the correct answer. Choices A, C, and D are incorrect because they do not correctly convert decimeters to centimeters based on the conversion factor. Choice A (0.25 centimeters) is a common mistake of misplacing the decimal point. Choice C (250 centimeters) is an error of incorrectly multiplying instead of using the conversion factor. Choice D (0.025 centimeters) is another mistake of misplacing the decimal point during conversion.

Correct Answer: D

Rationale: The correct answer is D because in this study, the dependent variable is what is being measured or affected (average hours worked per week), and the independent variable is what is being manipulated or controlled (hospital staff types). The average hours worked per week can vary based on the different types of hospital staff, so the staff types are the independent variable. The incorrect choices fail to correctly distinguish between the dependent and independent variables, mixing up the roles of nurses, physicians, and hospital staff with the average hours worked per week.

Correct Answer: B

Rationale: To simplify the expression 3(1/6) - 1(5/6), we first multiply the whole number by the fraction: 3 * 1/6 = 3/6. Then, we subtract 1 * 5/6 = 5/6. Simplifying 3/6 - 5/6 gives us -2/6, which reduces to -1/3 or 1 (1/3). Therefore, the correct answer is B: 1 (1/3). Choice A: 2 (1/3) is incorrect as the result is negative. Choice C: 2 (1/9) is incorrect as it is not the simplified form. Choice D: 5/6 is incorrect as it is one of the terms in the expression, not the final result.

Correct Answer: C

Rationale: The correct answer is C because a graph representing a proportional relationship has a constant slope that is equal to the rate of change between the variables. In this case, a slope of 2,000 means that for every unit increase in x, there is a corresponding increase of 2,000 in y, indicating a proportional relationship. The y-intercept being 0 is also consistent with a proportional relationship as it implies that when x is 0, y is also 0. A, B, and D are incorrect because their slopes and y-intercepts do not represent a proportional relationship. A slope of 2,500, 1,500, and -1,800 in choices A, B, and D respectively, do not indicate a constant rate of change between x and y, which is crucial for a proportional relationship. The y-intercepts in these choices also do not align with the characteristics of a proportional relationship.