TEAS Practice Math Test

Correct Answer: C

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: C

Rationale: To find the number of hairs used for the drug test, we need to calculate 1/7 of 100 hairs. 1/7 * 100 = 100/7 ≈ 14.29 hairs were used for the drug test. Therefore, the correct answer is C (14.29). Option A (14) is incorrect as it does not accurately represent 1/7 of 100. Option B (14.2) is also incorrect as it is not the exact result of the calculation. Option D (14.3) is incorrect as it rounds up the result, which is not necessary based on the question's requirement to round to the nearest hundredth.

Correct Answer: A

Rationale: To calculate the total cost, first multiply the daily rental cost by the number of days ($50 * 3 = $150). Then, multiply the cost per mile by the total miles driven ($0.25 * 120 = $30). Add these two amounts ($150 + $30 = $180). Therefore, the correct total cost is $180. Among the choices, only option A ($156) is incorrect as it does not match the calculated total cost. Option B ($190) is incorrect as it is higher than the correct total cost. Option C ($165) is incorrect as it is also higher than the correct total cost. Option D ($210) is incorrect as it is higher than the correct total cost.

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: 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.