TEAS Test Practice Math

Correct Answer: D

Rationale: To determine when Truck B becomes the better buy, we need to find the breakeven point where the total cost of owning and operating both trucks is the same. First, calculate the total cost for each truck by adding the initial cost to the cost of gasoline for the miles driven. For Truck A: $450 + ($4/mile * x miles), and for Truck B: $650 + ($4/mile * x miles). Set these two equations equal to each other and solve for x to find the breakeven point. By solving the equation, we find that Sally must drive 4375 miles for Truck B to be the better buy. The correct answer is D. Summary: A: 500 - Incorrect, too low of a mileage for Truck B to be the better buy. B: 7500 - Incorrect, too high of a mileage for Truck B to be the better buy. C: 1750 - Incorrect, not the correct mileage for Truck B to

Correct Answer: C

Rationale: To find the percentage of Dr. Lee's patients hospitalized after taking the antibiotic, we multiply the percentage of patients who developed an infection (30%) by the percentage of those hospitalized (5% of 30%): 30% * 5% = 1.5%. Therefore, 1.5% of all patients were hospitalized. The correct answer is C (15%). Summary: A (1.50%): This is incorrect because it miscalculates the percentage of patients hospitalized. B (5%): This is incorrect as it represents the percentage of patients that developed an infection and not those hospitalized. D (30%): This is incorrect as it represents the total percentage of patients developing an infection, not those hospitalized.

Correct Answer: B

Rationale: To convert decimeters to centimeters, we multiply by 10 since 1 decimeter is equal to 10 centimeters. Therefore, for a book with a width of 5 decimeters, the width in centimeters would be 5 * 10 = 50 centimeters. This makes choice B, 25 centimeters, the correct answer. Choices A, C, and D are incorrect because they do not correctly apply the conversion factor from decimeters to centimeters. Choice A is too small, choice C is too large, and choice D is also too small due to incorrect decimal placement.

Correct Answer: B

Rationale: The correct answer is B: $86,666.67. To calculate this, divide the total operating expenses ($130,000) by 3, as a general guideline is that one-third of operating expenses typically go towards employee wages and benefits. $130,000 / 3 = $43,333.33. However, this only represents the wages portion, and benefits are typically an additional 50% of wages, making the total amount spent on wages and benefits $43,333.33 + ($43,333.33 * 0.5) = $86,666.67. Choice A: $43,333.33 - This only represents the wages portion and does not include benefits. Choice C: $52,000.00 - This amount does not account for benefits and is not calculated correctly. Choice D: $78,000.00 - This amount is only the wages portion and does not include benefits.

Correct Answer: C

Rationale: To find the total number of clients secured in a given time, we divide the total clients by the clients secured in one period. 24 clients ÷ 3 clients/8 months = 8 periods. To find the total time, we multiply the periods by the time for one period. 8 periods × 8 months = 64 months. Therefore, Robert has secured 24 new clients after 64 months. The other choices are incorrect because they do not align with the correct calculation.