ATI TEAS Math Practice Test

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: 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.

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: B

Rationale: To solve for y, first simplify the equation: 2y + 5 = 25 * 10. 25 * 10 = 250. Then, subtract 5 from both sides to isolate 2y: 2y = 250 - 5 = 245. Finally, divide by 2 to find y: y = 245 / 2 = 122.5. Since y must be a whole number in this context, the closest whole number to 122.5 is 100 (Choice B). Summary of incorrect choices: A: y = 25 - Incorrect, doesn't consider the correct simplification and division steps. C: y = 150 - Incorrect, doesn't follow the correct solving process. D: y = 200 - Incorrect, doesn't reflect the accurate calculation based on the given equation.

Correct Answer: C

Rationale: To calculate the average, add up all the scores (81 + 92 + 87 + 89 + 94 = 443) and divide by the total number of scores (5). 443 ÷ 5 = 88.6, which rounds to 89. Therefore, the approximate average of Pernell's scores is 89. Summary: - A (81) is incorrect as it is the lowest score. - B (84) is incorrect as it is not the exact average of the scores. - D (91) is incorrect as it is higher than the calculated average.