ATI TEAS Math Practice Test

Correct Answer: D

Rationale: The correct answer is D (6.97 hours). To calculate the total time taken, first find the time for the first segment: 305 miles / 65 mph = 4.69 hours. Then add the 15-minute stop in hours: 15 minutes / 60 = 0.25 hours. Next, find the time for the second segment: 162 miles / 80 mph = 2.025 hours. Add up these times: 4.69 hours + 0.25 hours + 2.025 hours = 6.965 hours, which rounds to 6.97 hours. Choice A is incorrect as it does not account for the distance covered and the stop. Choices B and C are incorrect as they do not consider the time for the second segment.

Correct Answer: D

Rationale: The correct answer is D (6.97 hours). To calculate the total time taken, first find the time for the first segment: 305 miles / 65 mph = 4.69 hours. Then add the 15-minute stop in hours: 15 minutes / 60 = 0.25 hours. Next, find the time for the second segment: 162 miles / 80 mph = 2.025 hours. Add up these times: 4.69 hours + 0.25 hours + 2.025 hours = 6.965 hours, which rounds to 6.97 hours. Choice A is incorrect as it does not account for the distance covered and the stop. Choices B and C are incorrect as they do not consider the time for the second segment.

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: 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: 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.