TEAS Test Math Prep

Correct Answer: D

Rationale: The correct answer is D: Pie chart. A pie chart is the most appropriate choice for displaying percentage data because it visually represents parts of a whole, making it easy to compare the time spent on different tasks during the workday. Each segment of the pie chart corresponds to a specific task percentage, allowing Juan to quickly see the breakdown of his time. Explanation of Incorrect Choices: A: Line plot - Line plots are used to show trends over time or continuous data points, not ideal for comparing percentages of different tasks. B: Bar graph - Bar graphs are suited for comparing categories or discrete data points, not the best choice for displaying percentages. C: Line graph - Line graphs are typically used to show trends and relationships between variables, not suitable for displaying percentages of different tasks.

Correct Answer: C

Rationale: The correct answer is C. In John's Gym, the monthly fee is $40 times the number of months (y = 40x), while in Ralph's Recreation Room, the monthly fee is $45 times the number of months (y = 45x). Since $40 is less than $45, it can be concluded that John's monthly membership fee is less than Ralph's monthly membership fee. Therefore, choice C is correct. Choice A is incorrect because John's fee is not equal to Ralph's fee. Choice B is incorrect because John's fee is actually less than Ralph's fee. Choice D is incorrect because a relationship can be determined based on the given information.

Correct Answer: D

Rationale: To find the number of nights Sarah needs to read 140 pages, we first calculate her rate: 21 pages / 4 nights = 5.25 pages/night. Then, we divide 140 pages by her rate: 140 pages / 5.25 pages/night ≈ 26.67 nights. Since she can't read a fraction of a night, she would need 27 nights to read 140 pages. A: Incorrect. 6 nights is too short based on the rate calculation. B: Incorrect. 26 nights is close, but rounding up is necessary. C: Incorrect. 8 nights is too short based on the rate calculation.

Correct Answer: B

Rationale: To find the overall median, we first arrange the scores in ascending order: 78, 83, 92, 97. The median is the middle value, which is 92 in this case. Therefore, the correct answer is B. Choice A is incorrect as it is not a score in the list. Choice C is incorrect as it is the median of the list, not the overall median. Choice D is incorrect as it is the average of all scores, not the median.

Correct Answer: A

Rationale: To simplify the expression 5/9 * 15/36, we first multiply the numerators (5 * 15 = 75) and the denominators (9 * 36 = 324) separately. This gives us 75/324. To simplify further, we find the greatest common divisor of 75 and 324, which is 3. Dividing both the numerator and denominator by 3, we get 25/108. Finally, this can be reduced to 5/36 by dividing both the numerator and denominator by 5. Therefore, the correct answer is A: 5/36. Choices B, C, and D are incorrect because they do not result from the correct simplification steps outlined above.