ATI TEAS Math Practice Test

Correct Answer: A

Rationale: To simplify the expression, convert the mixed number 1 9/16 to an improper fraction: 1 * 16 + 9 / 16 = 25/16. Thus, the correct answer is A: 1 9/16. Option B (1 1/4) and Option C (2 1/8) do not represent the correct simplification of the given expression. Option D (2) is also incorrect as it does not accurately represent the simplified form of the expression.

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 find the percentage of total staff certified and available to work, we first calculate the percentage of staff available: 100% - 35% = 65%. Then, we find the percentage of the remaining staff who are certified: 65% x 20% = 13%. Therefore, the correct answer is B (13%). Choice A (7%) is too low, as it only considers the percentage of certified staff. Choice C (65%) is incorrect as it represents the percentage of total staff available, not certified. Choice D (80%) is incorrect as it does not take into account the percentage of staff who are both certified and available.

Correct Answer: C

Rationale: To calculate the distance traveled by the train, we use the formula Distance = Speed x Time. Given the speed of 60 mph and time of 2 hours, Distance = 60 mph x 2 hours = 120 miles. Therefore, the correct answer is C: 120 miles. Choice A is incorrect because it only represents the speed of the train, not the total distance. Choice B and D are incorrect as they do not consider both speed and time to calculate the distance correctly.

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.