TEAS Practice Math Test

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.

Correct Answer: A

Rationale: To calculate Jonathan's monthly bill for x roaming minutes, we need to add the flat rate of $65 to the charge per minute of $0.12 multiplied by the number of roaming minutes x. Therefore, the correct expression is 65 + 0.12x. Choice A (65 + 0.12x) is correct because it accurately represents the total bill by adding the flat rate and the variable charge for roaming minutes. Choices B (65x + 0.12), C (65.12x), and D (65 + 0.12x) are incorrect because they do not correctly combine the flat rate and the charge per minute for roaming. Choice B incorrectly multiplies the flat rate by the variable x, Choice C combines the flat rate and the charge incorrectly, and Choice D does not account for the flat rate in the correct way.

Correct Answer: A

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: C

Rationale: The mean time for the women who ran the 200m event at the 2008 Olympic Games can be calculated by summing all the times and dividing by the total number of times. Sum of times = 22.33 + 22.50 + 22.50 + 22.61 + 22.71 + 22.72 + 22.83 + 23.22 = 182.42 Total number of times = 8 Mean time = 182.42 / 8 = 22.8025 ≈ 22.68 sec (Choice C) Therefore, the correct answer is C (22.68 sec) as it is the closest to the calculated mean time. Incorrect choices: A: 22.50 sec - This is not the mean of the given times. B: 22.66 sec - Not the mean. D: 22.77 sec - Not the mean.

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.