TEAS Math Practice Test

Correct Answer: B

Rationale: To convert miles to kilometers, we use the conversion factor: 1 mile = 1.60934 kilometers. Therefore, 4.67 miles is equal to 4.67 * 1.60934 = 7.504 km. Rounding to three significant digits gives us 7.51 km, which is the correct answer (B). Choice A (7.514 km) is incorrect as it has been rounded to four significant digits. Choice C (2.90 km) and choice D (2.902 km) are incorrect as they are much smaller values due to incorrect calculations or rounding.

Correct Answer: D

Rationale: To find the speed in feet per second, first convert 72 miles to feet (1 mile = 5280 feet). Then, convert 90 minutes to seconds (1 minute = 60 seconds). Next, divide the distance in feet by the time in seconds to get the speed in feet per second. The correct calculation is (72 miles * 5280 feet/mile) / (90 minutes * 60 seconds/minute) = 70.4 feet per second. Choice A is too low, choice B is too high, and choice C is extremely low compared to the correct answer.

Correct Answer: A

Rationale: The correct answer is A. The domain of a function is the set of all possible input values. For the function y = 1/x, the denominator cannot be 0 since division by zero is undefined. Therefore, x cannot be 0. Hence, the domain includes all real numbers except 0, which is choice A. Choices B, C, and D are incorrect because B restricts x to be greater than 0, C limits x to be exactly 0, and D fixes x to be 1, all of which are not applicable for the given function.

Correct Answer: A

Rationale: To express 18/5 as a reduced mixed number, we divide 18 by 5 which equals 3 with a remainder of 3. So, 18/5 = 3 3/5. This mixed number is in its simplest form. Choice A is correct. Choices B, C, and D are incorrect as they do not represent the correct division of 18 by 5 resulting in the remainder of 3.

Correct Answer: A

Rationale: To divide 52 by 27, we get 1 with a remainder of 25. Then, when we divide 51 by 27, we get 1 with a remainder of 24. Therefore, the correct answer is A: 52/27, as it represents the result of the division without simplification. Choices B, C, and D are incorrect as they do not accurately represent the division results obtained.