ATI TEAS Math Practice Test

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 solve for y, first simplify the equation: 2y + 5 = 25 * 10. 25 * 10 = 250. Then, subtract 5 from both sides to isolate 2y: 2y = 250 - 5 = 245. Finally, divide by 2 to find y: y = 245 / 2 = 122.5. Since y must be a whole number in this context, the closest whole number to 122.5 is 100 (Choice B). Summary of incorrect choices: A: y = 25 - Incorrect, doesn't consider the correct simplification and division steps. C: y = 150 - Incorrect, doesn't follow the correct solving process. D: y = 200 - Incorrect, doesn't reflect the accurate calculation based on the given equation.

Correct Answer: D

Rationale: To arrange the numbers from least to greatest, we convert them to decimals or find a common denominator. Converting to decimals, we get: 7/3 = 2.33, 9/2 = 4.5, 10/9 = 1.11, 7/8 = 0.875. Therefore, the correct order is 7/8 < 10/9 < 7/3 < 9/2. Choice D is correct as it follows this order. Choices A, B, and C are incorrect as they do not reflect the correct ascending sequence.

Correct Answer: C

Rationale: The independent variable is the variable that is manipulated or controlled by the researcher. In this case, the number of nurses in various specialties is the variable that is being studied and is not dependent on any other variable. Therefore, the correct answer is C - Nurse specialties. Choices A, B, and D are incorrect as they are either specific specialties or the dependent variable (number of nurses).

Correct Answer: D

Rationale: To solve the equation 2x + 4 = x - 6, we need to isolate x. Subtract x from both sides to get x + 4 = -6. Then, subtract 4 from both sides to get x = -10. The correct answer is D, x = -10. Choice A is incorrect because x is not -12. Choice B is incorrect as x is not 10. Choice C is incorrect as x is not -16.