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: D

Rationale: To simplify the expression 3x - 5x + 2, we first combine like terms. 3x - 5x = -2x, so the expression becomes -2x + 2. Thus, the correct answer is D: -2x. Choice A is incorrect as it incorrectly combines the x terms without changing their signs. Choice B is incorrect as it only considers the x terms and ignores the constant term. Choice C is incorrect as it incorrectly combines the x terms without changing their signs.

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: C

Rationale: To determine the smallest decimal, compare the digits from left to right. In choice C (2.002), the first non-zero digit is in the thousandths place, making it smaller than choices A, B, and D. Choice A (2.22) has the first non-zero digit in the tenths place, making it larger than choice C. Choice B (2.02) has a smaller tenths place digit than choice A but a larger hundredths place digit, still making it larger than choice C. Choice D (2.2) has the first non-zero digit in the tenths place, which is larger than choice C. Therefore, the correct answer is C (2.002) as it has the smallest value among the given options.

Correct Answer: A

Rationale: To calculate how many times larger the first cell is compared to the second, we divide the diameter of the first cell by the diameter of the second cell: 0.1 / 0.05 = 2. Therefore, the correct answer is A: 2. Option B, C, and D are incorrect because they do not accurately represent the ratio between the two cell sizes based on the given diameters.