TEAS Practice Math Test

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: D

Rationale: The correct answer is D: The mode is equal to the range. In this case, the mode is the value that appears most frequently in the data set. The mode for the given data set is 29, as it appears twice. The range is the difference between the highest and lowest values in the data set. In this case, the range is 46 - 17 = 29. Therefore, the mode (29) is equal to the range (29), making option D the correct choice. A: The mean is less than the median - This is incorrect as the mean is calculated by adding all values and dividing by the total number of values, while the median is the middle value when the data is arranged in order. In this case, the mean is greater than the median. B: The mode is greater than the median - This is incorrect as the mode (29) is equal to the median (also 29). C: The mode is less than the mean,

Correct Answer: D

Rationale: To solve the equation 3(x - 1) = 2(3x - 9), first distribute the terms: 3x - 3 = 6x - 18. Then, isolate x by moving the variables to one side: 3x - 6x = -18 + 3. Simplify to get -3x = -15, and divide by -3 to find x = 5. Choice D is correct as it correctly solves the equation step by step. Choices A, B, and C are incorrect because they do not yield the correct solution when the equation is solved.

Correct Answer: A

Rationale: The correct answer is A: x + 4 = (1/3)y - 2. To break down the equation: 1. "Four more than a number, x" can be represented as x + 4. 2. "2 less than 1/3 of another number, y" can be represented as (1/3)y - 2. 3. Combining the two expressions gives x + 4 = (1/3)y - 2, which correctly represents the given sentence. Other choices are incorrect because they do not accurately capture the relationship between x and y as described in the sentence. Choice B incorrectly sets 4x equal to 2 minus 1/3 of y, while choices C and D have incorrect signs and placements of terms.

Correct Answer: B

Rationale: To find the average weight of each item, we first subtract Jerry's weight from the elevator's weight limit: 800 - 200 = 600 pounds. Then, we divide this by the number of items (4): 600 / 4 = 150 pounds. This means each item should weigh 150 pounds on average to not exceed the weight limit. Choice B (150 pounds) is correct. Choice A (128 pounds) is too light, which would allow the elevator's weight limit to be exceeded. Choice C (175 pounds) and choice D (180 pounds) are too heavy, which would also exceed the weight limit.