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: 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: D

Rationale: Failed to generate a rationale after 5 retries.

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.

Correct Answer: B

Rationale: The correct answer is B: $212.50. To determine how much he saved, you need to find the difference between the original price and the final price after the discount. The original price is $425 and the final price is $212.50 after a 50% discount. Subtracting $212.50 from $425 gives us the amount saved, which is $212.50. The other choices are incorrect because they do not reflect the actual savings based on the given information. Choice A is half of the original price, choice C is the discount amount, and choice D is the original price discounted by $25, not the actual savings.