ATI TEAS Math Practice Test

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: A

Rationale: The correct answer is A: y = 15 + 28x. This equation represents the total amount of money Andy will have saved. Initially, he has $15 saved (y = 15 when x = 0). Then, he saves $28 per month, which is represented by 28x. Therefore, the total amount saved is the initial $15 plus the monthly savings of $28 times the number of months x. Summary: - Choice A is correct because it includes the initial savings of $15 and the monthly savings of $28x. - Choice B is incorrect because it incorrectly adds $15 to the monthly savings. - Choice C is incorrect because it only represents the monthly savings without considering the initial amount saved. - Choice D is incorrect because it adds the monthly savings before the initial amount saved.

Correct Answer: C

Rationale: To find the number of data analysis problems, first, determine the total ratio parts: 4 + 2 = 6. Then, calculate the number of parts for algebra problems: 2/6 * 18 = 6. Finally, find the number of data analysis problems: 4/6 * 18 = 12. Therefore, the correct answer is C (36). Option A (24) is incorrect as it miscalculates the ratio. Option B (28) and Option D (38) do not consider the given ratio and total number of algebra problems.

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: C

Rationale: To find the total amount contributed, add the amounts given by each roommate: $12.03 + $11.96 + $12.06 = $36.05. Since we are estimating, we can round the total to $36. Therefore, the correct answer is C: $36. Choice A: $34 is incorrect because the total amount is more than $34. Choice B: $35 is incorrect because the total amount is more than $35. Choice D: $37 is incorrect because the total amount is less than $37.