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: To find the possible costs, we divide the total amount spent by the number of packages: $16/4 packages = $4 per package. Since Hannah spends at least $16, the cost per package must be less than or equal to $4. Therefore, the correct inequality is 16 ≤ 4p (Option D). The other choices are incorrect because they do not accurately represent the relationship between the total spending and the number of packages purchased.

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: C

Rationale: Failed to generate a rationale after 5 retries.

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.