TEAS Test Math Prep

Correct Answer: C

Rationale: The sequence is an arithmetic progression with a common difference of 1. To find the sixth number, we add 1 successively to each number. Starting from 5, we add 1 five times to get the sixth number, which is 5 + 5 = 10. Therefore, the correct answer is B. Choice A is incorrect because it is the fourth number in the sequence. Choice C is incorrect as it is the seventh number. Choice D is incorrect as it is the eighth number in the sequence.

Correct Answer: A

Rationale: To calculate relative error, we use the formula: (|Measured Value - True Value| / True Value) * 100%. In this case, the measured width is 36 inches and the true width is 75 inches. So, the relative error = (|36 - 75| / 75) * 100% = (39 / 75) * 100% = 52%. Therefore, the correct answer is A: 0.52%. Choice B (0.01%), C (0.99%), and D (0.10%) are incorrect as they do not correspond to the calculated relative error of 52% in this scenario.

Correct Answer: C

Rationale: To find the circumference of a circle, we use the formula C = 2πr, where r is the radius. Given r = 3 inches, C = 2π(3) ≈ 18.85 inches. The closest estimate is C: 18 inches. Choice A is too small, B is slightly closer but still underestimated, and D is too large. Therefore, C is the best estimate based on the calculated circumference using the given radius.

Correct Answer: C

Rationale: The correct answer is C: $500. Sarah earns $12/hour x 20 hours/week = $240/week. If she spends $50/week, her savings are $240 - $50 = $190/week. In 5 weeks, her total savings will be $190/week x 5 weeks = $950. Therefore, the correct answer is $950, which is not represented in the answer choices. Among the given choices, C: $500 is the closest to the calculated savings of $950. Choices A, B, and D are significantly higher than the calculated amount, making them incorrect options.

Correct Answer: C

Rationale: The correct answer is C. In John's Gym, the monthly fee is $40 times the number of months (y = 40x), while in Ralph's Recreation Room, the monthly fee is $45 times the number of months (y = 45x). Since $40 is less than $45, it can be concluded that John's monthly membership fee is less than Ralph's monthly membership fee. Therefore, choice C is correct. Choice A is incorrect because John's fee is not equal to Ralph's fee. Choice B is incorrect because John's fee is actually less than Ralph's fee. Choice D is incorrect because a relationship can be determined based on the given information.