TEAS Test Math Questions

Correct Answer: A

Rationale: To simplify (x^2 - y^2) / (x - y), we recognize it as a difference of squares, (x^2 - y^2) = (x + y)(x - y). Therefore, the expression simplifies to (x + y). The correct answer is A because when we divide (x + y)(x - y) by (x - y), the (x - y) terms cancel out, leaving us with x + y. Choices B, C, and D are incorrect because they do not consider the factorization of the numerator as a difference of squares, leading to incorrect simplifications.

Correct Answer: C

Rationale: The mode is the value that appears most frequently in a data set. In this case, the number 4 appears three times, which is more frequent than any other number in the set. Therefore, the mode of the data set is 4 (Choice C). The other choices (A: 2, B: 3, D: 5) are incorrect because they do not appear as frequently as 4 in the given data set.

Correct Answer: B

Rationale: To find the median, we first arrange the data set in ascending order: 3, 5, 7, 9, 11. The median is the middle value when the data is ordered, which is 7 in this case. To confirm, count the numbers: there are 5 data points, making 7 the third value from both ends. Therefore, the median of the data set is 7. Choice A (3) is incorrect because it is the smallest value in the data set. Choice C (9) is incorrect because it is the second largest value in the data set. Choice D (5) is incorrect because it is the second smallest value in the data set.

Correct Answer: D

Rationale: To convert a percentage to a fraction, we divide the percentage by 100. So, 290% is equal to 290/100. Simplifying this fraction gives us 29/10. Therefore, the correct answer is D. Option A (29/10) is the simplified form of the correct answer. Option B (58/20) and Option C (145/50) are incorrect as they are not equivalent to 290%.

Correct Answer: A

Rationale: To convert liters to kiloliters, we divide by 1000 since 1 kiloliter is equal to 1000 liters. In this case, 147 liters divided by 1000 equals 0.147 kiloliters, so the correct answer is A. Choice B is 10 times the correct answer, choice C is 100 times the correct answer, and choice D is 1000 times the correct answer, making them incorrect.