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: A

Rationale: To evaluate -3 x 5, we multiply -3 by 5 which gives us -15. The correct answer is A (-15) because when multiplying a negative and a positive number, the result is negative. Choice B (-2) is incorrect as it is the result of adding -3 and 5. Choice C (2) is incorrect as it is the result of multiplying -3 and -5. Choice D (15) is incorrect as it is the result of multiplying 3 and 5, not -3 and 5.

Correct Answer: A

Rationale: Correct Answer: A (2) Rationale: 1. When dividing 8 by 4, it means splitting 8 into 4 equal parts. 2. Each part would be 2, as 8 divided by 4 equals 2. 3. Therefore, the result of dividing 8 by 4 is 2. Summary: - Option B (4): Incorrect, as 8 divided by 4 is not 4. - Option C (6): Incorrect, as dividing 8 by 4 does not result in 6. - Option D (8): Incorrect, as the division of 8 by 4 does not yield 8.

Correct Answer: D

Rationale: To determine the correct answer, we need to find the value of x in each proportion. For choice A, x = 4; for choice B, x = 8; for choice C, x = 6; and for choice D, x = 10. So, the correct answer is D because it yields a different value for x compared to the other choices. Choices A, B, and C all have x values that are multiples of 2, whereas choice D has a different x value. Therefore, choice D is the only proportion that yields a different number for the unknown compared to the others.

Correct Answer: A

Rationale: To convert fluid ounces to gallons, we know that 128 fluid ounces = 1 gallon. Therefore, for 1,000 fluid ounces, we divide 1,000 by 128 to get approximately 7.8125 gallons (A). The correct answer is A because it correctly represents the conversion of fluid ounces to gallons. Choices B, C, and D are incorrect because they do not accurately reflect the conversion factor. B is twice the correct answer, C is four times, and D is eight times the correct conversion.