TEAS Test Math Prep

Correct Answer: A

Rationale: The correct answer is A: 2 x 4 x 4 x 2. To find the value of 6 x 12, we can break it down into simpler multiplication. 6 x 12 = 6 x (4 x 3) = (2 x 3) x (4 x 3) = 2 x 4 x 4 x 2. This shows that the value of 6 x 12 is indeed equal to 2 x 4 x 4 x 2. Explanation for why other choices are incorrect: B: 7 x 4 x 3 does not equal 6 x 12. C: 6 x 6 x 3 equals 108, not 72 (6 x 12). D: 3 x 3 x 4 x 2 equals 72, but the order of multiplication is not the same as in 6 x 12, making it incorrect.

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: 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: 0.84. To convert a percentage to a decimal, you divide by 100. In this case, 84% divided by 100 equals 0.84. Choice A is incorrect as 0.042 is not equivalent to 84%. Choice B is incorrect as 84% is not the same as 0.84. Choice D is incorrect as 0.42 is not the correct decimal form of 84%. Therefore, the correct representation of 84% in decimal form is 0.84.

Correct Answer: B

Rationale: To calculate average speed, you divide the total distance by the total time. In this case, 150 miles divided by 3 hours equals 50 mph. Therefore, choice B is correct. Choice A is incorrect as it is too low. Choice C and D are incorrect as they are too high.