Practice Math TEAS TEST

Correct Answer: C

Rationale: To determine the force needed to stretch the coil by 0.1 meters, we use the formula F = kx, where F is the force, k is the constant of proportionality, and x is the stretch distance. First, calculate k by dividing the given force by the stretch distance: k = 132 N / 0.07 m = 1885.7 N/m. Then, plug in the values: F = 1885.7 N/m * 0.1 m = 188.6 N. Therefore, the correct answer is C (188.6 Newtons). Choice A (92.4 N) is incorrect because it does not consider the direct proportionality between force and stretch. Choice B (1885.7 N) incorrectly assumes the force remains constant regardless of the stretch distance. Choice D (136.0 N) is not rounded to the nearest tenth as requested.

Correct Answer: C

Rationale: To determine the force needed to stretch the coil by 0.1 meters, we use the formula F = kx, where F is the force, k is the constant of proportionality, and x is the stretch distance. First, calculate k by dividing the given force by the stretch distance: k = 132 N / 0.07 m = 1885.7 N/m. Then, plug in the values: F = 1885.7 N/m * 0.1 m = 188.6 N. Therefore, the correct answer is C (188.6 Newtons). Choice A (92.4 N) is incorrect because it does not consider the direct proportionality between force and stretch. Choice B (1885.7 N) incorrectly assumes the force remains constant regardless of the stretch distance. Choice D (136.0 N) is not rounded to the nearest tenth as requested.

Correct Answer: A

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: D

Rationale: To find the answer, calculate the volume of the room: 9 ft * 9 ft * 9 ft = 729 cubic feet. Then, calculate the volume of one box: 2 ft * 2 ft * 2 ft = 8 cubic feet. Divide the room's volume by the box's volume: 729 cubic feet / 8 cubic feet = 91.125. Since we can't have a fraction of a box, the maximum number of whole boxes that can be stored is 91, which is closest to option D: 92. Option A (125) is too high, option B (64) is too low, and option C (18) is also too low.

Correct Answer: A

Rationale: The correct answer is A: A shared multiple of two denominators. In order to add or subtract fractions, they must have a common denominator. This means they need to have the same bottom number. By finding the least common multiple of the denominators, you ensure that the fractions have the same base for accurate calculations. Choice B is incorrect because the common denominator is related to the denominators, not the numerators. Choice C is incorrect as the common denominator specifically refers to the bottom number in fractions. Choice D is incorrect as a common denominator may not necessarily divide evenly into both fractions, but it must be a multiple of both denominators.