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: Failed to generate a rationale after 5 retries.

Correct Answer: A

Rationale: To find the expression for the length of the rectangle in terms of x, we first note that the length is six less than two times the width. Therefore, the expression for the length would be 2x - 6. This is because the length is equal to 2 times the width (2x) minus 6. Therefore, option A (2x - 6) is the correct answer. Option B (6-2x) is incorrect because it represents the width minus 2 times the width, which is not the correct relationship. Option C (6x-2) is incorrect because it represents 6 times the width minus 2, which is not the correct relationship. Option D (3x-4) is incorrect because it represents 3 times the width minus 4, which does not match the given relationship between the length and the width.

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: D

Rationale: To calculate the increased dosage, we first find 30% of 270 mg by multiplying 270 by 0.30, which equals 81 mg. Then, we add the increase to the current dosage: 270 mg + 81 mg = 351 mg. Therefore, the correct answer is D. Choice A (81 mg) is incorrect because that is only the increase, not the total dosage. Choice B (270 mg) is the current dosage, not the increased dosage. Choice C (300 mg) is also incorrect as it does not account for the 30% increase.