TEAS Test Math Prep

Correct Answer: B

Rationale: To calculate the percentage increase, we subtract the original value from the new value (60 - 40 = 20), then divide this difference by the original value (20 / 40 = 0.5). Finally, multiply this result by 100 to get the percentage increase, which is 50%. Choice B is correct as it accurately represents the percentage increase from 40 to 60. Choices A, C, and D are incorrect because they do not provide the correct percentage increase calculation based on the given values.

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: The correct answer is A: x - y/2. To calculate the student's score, we need to consider the points gained and lost. For each correct answer, the student gains 1 point. For each incorrect answer, the student loses half a point. Since there are no points gained or lost for questions left blank, the expression x - y/2 correctly represents the score. Option B (x - y) does not account for losing half a point for incorrect answers. Option C (30 - (x + y)) does not consider the points gained for correct answers. Option D (30 - x - y/2) inverts the order of subtraction, leading to an incorrect calculation of the score.

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.

Correct Answer: A

Rationale: To convert miles to kilometers, we use the conversion factor 1 mile = 1.60934 km. Therefore, to convert 67 miles to kilometers, we multiply 67 miles by 1.60934 km/mile = 107.67178 km. Rounding to three significant digits gives us 107 km, which is the correct answer. Choice B (106 km) is incorrect as it does not account for the correct rounding of the conversion. Choice C (33 km) is incorrect as it significantly underestimates the conversion. Choice D (85 km) is also incorrect as it does not reflect the accurate conversion from miles to kilometers.