ATI TEAS Math Practice Test

Correct Answer: A

Rationale: To solve for x, first isolate x by subtracting 6 from both sides: 2x + 6 - 6 = 14 - 6. This simplifies to 2x = 8. Then, divide both sides by 2 to solve for x: 2x/2 = 8/2, which gives x = 4. This is the correct answer as it accurately solves the equation. Choice B, x=8, is incorrect as it does not satisfy the equation. Choice C, x=10, and choice D, x=13, are also incorrect as they do not align with the correct solution derived from the steps provided.

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: 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 final dosage, we first reduce 310 mg by 1/5, which is 310 * (1 - 1/5) = 248 mg. Then, we further reduce it by 20 mg, resulting in 248 - 20 = 228 mg. Therefore, the patient's final dosage is 228 mg. Option A (20 mg) is incorrect because it only accounts for the second reduction. Option B (42 mg) is incorrect as it doesn't consider both reductions. Option D (248 mg) is incorrect as it doesn't factor in the second reduction.

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.