ATI TEAS Math Practice Test

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.

Correct Answer: B

Rationale: To calculate the percentage more female staff at Hospital Y than X, we first find the difference in the percentage of female staff between the two hospitals. Let's say Hospital X has 40% female staff and Hospital Y has 50%. The difference is 50% - 40% = 10%. This means that Hospital Y has 10% more female staff than Hospital X. Therefore, the correct answer is B (10%). Option A (5%) is incorrect because the actual percentage more is 10%. Option C (15%) and D (20%) are incorrect as they overestimate the difference in female staff percentages between the two hospitals.

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.

Correct Answer: B

Rationale: The correct answer is B: Group A is positively skewed, while Group B is approximately normal. This is because in a positively skewed distribution, the tail of the graph extends to the right, indicating a higher frequency of lower values. In the double bar graph provided, Group A has a longer bar on the left side, suggesting a higher concentration of lower values, which is indicative of positive skewness. Group B, on the other hand, shows a more symmetrical distribution, with bars of similar length on both sides, implying an approximately normal distribution. Other choices are incorrect because: A: Group A is not negatively skewed, as it has a longer left tail. C: Group A is not approximately normal, as it shows characteristics of positive skewness. D: Group B is not positively skewed, as it does not have a longer right tail.

Correct Answer: C

Rationale: Failed to generate a rationale after 5 retries.