TEAS Test Practice Math

Correct Answer: A

Rationale: To find average speed, we use the formula: Total Distance / Total Time. For the morning trip: 45 miles / 1.17 hours = 38.46 mph. For the evening trip: 45 miles / 1.5 hours = 30 mph. Total distance = 45 miles + 45 miles = 90 miles. Total time = 1.17 hours + 1.5 hours = 2.67 hours. Average speed = 90 miles / 2.67 hours = 33.71 mph, which rounds to 30 mph (Choice A). Other choices are incorrect because they do not match the calculated average speed for the round trip.

Correct Answer: D

Rationale: To determine the percentage of rainfall received in October, divide the total rainfall received in October by the total rainfall during the timeframe and multiply by 100. Let's say the total rainfall in October is 177 mm and the total rainfall during the timeframe is 1000 mm. (177/1000) * 100 = 17.7%. So, the correct answer is D. Choices A, B, and C are incorrect as they do not accurately represent the percentage of rainfall received in October based on the given data.

Correct Answer: C

Rationale: To determine the number of prizes for fifth-grade students, we need to allocate the prizes proportionally based on the number of students in each grade. 1. Calculate the total number of students in the school: 35 (Grade 1) + 38 (Grade 2) + 38 (Grade 3) + 33 (Grade 4) + 36 (Grade 5) = 180 students. 2. Calculate the proportion of students in fifth grade: 36 (Grade 5 students) / 180 (total students) = 0.2 or 20%. 3. Apply this proportion to the total number of prizes (20 prizes): 20 (total prizes) * 0.2 = 4 prizes for fifth-grade students. Therefore, the correct answer is B: 4 prizes for fifth-grade students. Other choices are incorrect because they do not accurately reflect the proportional allocation based on the number of students in each grade.

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: A

Rationale: Failed to generate a rationale after 5 retries.