TEAS Practice Math Test

Correct Answer: D

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: B

Rationale: The correct answer is B: b = 5w + 10. To determine the correct equation, we can analyze the data in the table given. We can observe that when the number of weeks increases by 1, the number of books checked out increases by 5. This indicates a constant rate of increase of 5 books per week, which aligns with the equation b = 5w + 10. The initial value of 10 represents the number of books already checked out before week 1. Choices A, C, and D do not exhibit a constant rate of increase or the correct initial value based on the data provided.

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: C

Rationale: To determine the order from least to greatest, convert all fractions to decimal equivalents. -2 3/4 = -2.75 -2 7/8 = -2.875 -1/5 = -0.2 1/8 = 0.125 2/5 = 0.4 Now arrange them in ascending order: -2.875, -2.75, -0.2, 0.125, 0.4 Therefore, the correct order from least to greatest is -2 7/8, -2 3/4, -1/5, 1/8, 2/5 (Option C). Other choices are incorrect as they do not follow the correct order of the numbers when arranged from least to greatest.

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,