ATI TEAS Math Practice Test

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: 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.

Correct Answer: B

Rationale: The correct answer is B: The grades students received. The dependent variable is the outcome that is being measured or observed in response to changes in the independent variable. In this research study, the grades students received are dependent on the number of hours spent studying, which is the independent variable. The grades received will vary based on the amount of time spent studying. Choices A, C, and D are incorrect because they are not the outcome or response variable being measured in relation to the independent variable of hours spent studying. A is the independent variable, C is not a variable in this context, and D is not directly related to the outcome being measured.

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: 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.