TEAS Practice Test Math

Correct Answer: A

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: B

Rationale: To find the ratio of girls to boys, we divide the number of girls by the number of boys. In this case, there are 26 girls and 22 boys. So, the ratio of girls to boys is 26:22, which simplifies to 13:11. Therefore, choice B (13:11) is the correct answer. Choice A (26:11) is incorrect because it incorrectly combines the total number of girls with the number of boys. Choice C (13:22) is incorrect because it reverses the order of girls and boys in the ratio. Choice D (11:13) is incorrect because it flips the ratio of girls to boys.

Correct Answer: A

Rationale: The correct answer is A: 0.75 hectares. To calculate the area of the soccer field in square meters, you multiply the length by the width (100m x 75m = 7500 square meters). To convert this to hectares, you divide by 10,000 (7500 ÷ 10,000 = 0.75 hectares). Choice B (7.5 hectares) is incorrect because it is 10 times the correct answer. Choice C (7,500 hectares) is incorrect because it is 1,000 times the correct answer. Choice D (75,000,000 hectares) is incorrect because it is 100,000 times the correct answer.

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.