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: 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: D

Rationale: To solve for x, we add 7 to both sides of the equation: 2x - 7 + 7 = 3 + 7. This simplifies to 2x = 10. Then, we divide both sides by 2 to solve for x: 2x/2 = 10/2, which gives x = 5. Therefore, the correct answer is D. Choice A is incorrect because 4 does not satisfy the equation. Choice B is incorrect as x = 3 does not make the equation true. Choice C is incorrect as x = -2 does not satisfy the equation either.

Correct Answer: B

Rationale: The correct answer is B: y = 3x. By examining the chart, we see that y values are three times the x values. This relationship is represented by y = 3x. Choice A (x = 3y) reverses the relationship, choice C (y = 1/3x) states that y values are one-third of x values, and choice D (x/y = 3) represents x divided by y being equal to 3, which is not consistent with the given data in the chart.