TEAS Test Math Questions

Correct Answer: D

Rationale: The correct answer is D: (7, 8). To find the fourth vertex of the parallelogram, we can use the property that opposite sides of a parallelogram are parallel and equal in length. By calculating the vector between the points (1, 2) and (3, 4) as (2, 2), we can extend this vector from the point (5, 6) to find the fourth vertex at (5 + 2, 6 + 2) = (7, 8). Option A is incorrect as it does not satisfy the parallelogram property. Option B does not maintain the same distance between points. Option C does not form a parallelogram with the given points.

Correct Answer: C

Rationale: To solve 3x + 2 = 20, first subtract 2 from both sides to isolate 3x. This gives 3x = 18. Then divide by 3 to solve for x, yielding x = 6. Choice C is correct because 3(6) + 2 equals 20. Choices A, B, and D are incorrect because they do not satisfy the original equation when substituted back in.

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.

Correct Answer: A

Rationale: To find the result of multiplying fractions, you simply multiply the numerators together and the denominators together. For 3/5 * 5/7: (3*5) / (5*7) = 15 / 35, which simplifies to 3/7. Thus, the correct answer is A: 3/7. Other choices are incorrect because they do not result from the correct multiplication process. B: 1 is the result of multiplying any fraction by its reciprocal, while C: 2 and D: 4 are not valid outcomes of this specific multiplication.

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.