TEAS Practice Test Math

Correct Answer: A

Rationale: The correct answer is A because an equivalent fraction is a fraction that represents the same value as another fraction. To find an equivalent fraction, you can multiply or divide both the numerator and denominator by the same number. This maintains the fraction's value while changing its appearance. Choices B and C are incorrect because the size of a fraction is not determined by its equivalent status. Choice D is incorrect because equivalent fractions can have different numerators.

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: B

Rationale: Failed to generate a rationale after 5 retries.

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.

Correct Answer: C

Rationale: To convert a percentage to a decimal, you divide by 100. In this case, 87.5% divided by 100 is 0.875. Therefore, choice C, 0.875, is the correct decimal form of 87.5%. Choices A and B are incorrect as they do not represent the correct decimal value. Choice D, 8.75, is also incorrect as it is the decimal form of 875%.