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: C

Rationale: To earn more than 96 points, Mathew needs to answer at least 97 points out of 120 (40 questions * 3 points each). This means he can only get a maximum of 23 questions wrong (120 - 97 = 23). So, Mathew can answer up to 7 questions incorrectly (23/3 = 7.67, rounded down to 7) and still qualify for varsity sports. Therefore, the correct answer is C: 0 ≤ x < 8, as Mathew can answer 0 to 7 questions incorrectly and still meet the eligibility requirement. Choices A, B, and D are incorrect because they do not accurately reflect the maximum number of questions Mathew can answer incorrectly based on the total points needed for eligibility.

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: To solve the equation 4(2x - 6) = 10x - 6, first distribute 4 to get 8x - 24 = 10x - 6. Next, rearrange the terms to isolate x. Subtract 8x from both sides to get -24 = 2x - 6. Add 6 to both sides to get -18 = 2x. Finally, divide by 2 to solve for x, giving x = -9. Choice A is incorrect because x is not equal to 5, choice B is incorrect because x is not equal to -7, and choice D is incorrect because x is not equal to 10.

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.