TEAS Practice Test Math

Correct Answer: A

Rationale: The correct answer is A because to convert pounds to kg, you need to multiply by the conversion factor of 2.2, and to convert kg to pounds, you need to divide by 2.2. This is because 1 pound is equal to 0.453592 kg, which is approximately 2.2 pounds per kg. Therefore, multiplying by 2.2 for pounds and dividing by 2.2 for kg ensures the correct conversion between the two units. Choices B, C, and D are incorrect because they do not correspond to the correct conversion factor between pounds and kg.

Correct Answer: C

Rationale: To find the amount the friend paid for their car, we need to set up an equation. Let x be the friend's car price. The consumer paid $48,000, which is $2,000 less than twice the friend's car price, so 2x - $2,000 = $48,000. Solving for x, 2x = $48,000 + $2,000 = $50,000, therefore x = $25,000. Choice C is correct. Choices A, B, and D do not satisfy the given condition in the question. A is less than $25,000, B is greater than $25,000 but not $2,000 less than twice, and D is greater than $25,000.

Correct Answer: C

Rationale: To find out how much ammonia is needed, we first calculate the total amount of ammonia needed for 230 gallons of solution. Since 1 gallon requires 6 oz of ammonia, for 230 gallons, we multiply: 230 (gallons) x 6 (oz) = 1380 oz of ammonia. Therefore, the correct answer is C: 1380 oz. Other choices are incorrect because: A: 1380 gallons - This does not make sense as we are calculating the amount of ammonia, not the total volume of cleaning solution. B: 6900 gallons - This is not a logical calculation based on the given information. D: 1400 oz - This is close to the correct answer but miscalculates the total amount of ammonia required.

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: 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.