TEAS Practice Test Math

Correct Answer: A

Rationale: The correct answer is A because rational numbers are those that can be expressed as a fraction of two integers, where the denominator is not zero. This includes integers, fractions, and decimals that terminate or repeat. Irrational numbers, on the other hand, cannot be expressed as a fraction and have non-repeating, non-terminating decimal representations. Choices B, C, and D are incorrect because they do not accurately define rational and irrational numbers. Choice B only partially describes rational numbers, excluding some fractions, and does not properly define irrational numbers. Choice C incorrectly categorizes all whole numbers as rational and all decimals as irrational. Choice D is also inaccurate because not all rational numbers are terminating decimals, and not all irrational numbers are repeating decimals.

Correct Answer: A

Rationale: To find the least common denominator (LCD), we need to find the least common multiple (LCM) of the denominators. The denominators are 2, 3, and 5. The LCM of 2, 3, and 5 is 30, which is the smallest number that all three denominators divide into evenly. Therefore, the correct answer is A: 30. Choice B: 25 is not the correct answer because it is not divisible by 2, 3, and 5. Choice C: 7 is not the correct answer because it is not divisible by 2, 3, and 5. Choice D: 19 is not the correct answer because it is not divisible by 2, 3, and 5.

Correct Answer: C

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: C

Rationale: To calculate the 16% gratuity on a $58.60 bill, you multiply the bill amount by 0.16 (16%). $58.60 x 0.16 = $9.38. Therefore, the estimated gratuity is $9.38 (Choice C). Incorrect Answers: A: $8.48 - Incorrect, this is not the correct calculation for a 16% gratuity on $58.60. B: $6.40 - Incorrect, this is the calculation for a 11% gratuity on $58.60. D: $7.00 - Incorrect, this is the calculation for a 12% gratuity on $58.60.

Correct Answer: A

Rationale: To determine the amount of yogurt, we first find the total parts in the ratio (4+3=7 parts). Since toppings are 3 parts, we divide 4.5 oz by 3 to find 1 part equals 1.5 oz. Then, multiply 1.5 oz by 4 (yogurt parts) to get 6 oz of yogurt. Choice A is correct because it correctly calculates the amount of yogurt based on the given ratio. Choices B, C, and D are incorrect as they do not follow the correct calculation based on the ratio provided.