ATI TEAS Math Practice Test

Correct Answer: C

Rationale: To find the number of data analysis problems, first, determine the total ratio parts: 4 + 2 = 6. Then, calculate the number of parts for algebra problems: 2/6 * 18 = 6. Finally, find the number of data analysis problems: 4/6 * 18 = 12. Therefore, the correct answer is C (36). Option A (24) is incorrect as it miscalculates the ratio. Option B (28) and Option D (38) do not consider the given ratio and total number of algebra problems.

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: C

Rationale: The perimeter of a hexagon is 6 times the length of one side. So, for a side length of 320 feet, the perimeter is 6 * 320 = 1920 feet. The cost of fencing is $1.75 per foot, so the total cost will be 1920 * $1.75 = $3360. Choice A is incorrect as it does not consider the correct perimeter calculation. Choice B is incorrect as it underestimates the total cost. Choice D is incorrect as it overestimates the total cost.

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.