TEAS Test Math Prep

Correct Answer: A

Rationale: To convert miles to kilometers, we use the conversion factor 1 mile = 1.60934 km. Therefore, to convert 67 miles to kilometers, we multiply 67 miles by 1.60934 km/mile = 107.67178 km. Rounding to three significant digits gives us 107 km, which is the correct answer. Choice B (106 km) is incorrect as it does not account for the correct rounding of the conversion. Choice C (33 km) is incorrect as it significantly underestimates the conversion. Choice D (85 km) is also incorrect as it does not reflect the accurate conversion from miles to kilometers.

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.

Correct Answer: C

Rationale: The correct answer is C: $500. Sarah earns $12/hour x 20 hours/week = $240/week. If she spends $50/week, her savings are $240 - $50 = $190/week. In 5 weeks, her total savings will be $190/week x 5 weeks = $950. Therefore, the correct answer is $950, which is not represented in the answer choices. Among the given choices, C: $500 is the closest to the calculated savings of $950. Choices A, B, and D are significantly higher than the calculated amount, making them incorrect options.

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: A

Rationale: To find the percentage of patients hospitalized, we multiply the percentage who developed an infection by the percentage requiring hospitalization: 30% (infection rate) * 5% (hospitalization rate) = 1.5%. Therefore, the correct answer is A: 1.50%. Choices B, C, and D are incorrect because they do not accurately calculate the percentage of patients hospitalized based on the given data.