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: The correct answer is A because an integer is defined as a whole number that can be positive, negative, or zero. Integers do not include fractions or decimals (eliminating choices B and C) or percentages (eliminating choice D). Integers are the set of numbers {..., -3, -2, -1, 0, 1, 2, 3, ...} and do not include numbers with decimal points or fractions. Therefore, choice A is the only option that accurately describes what defines an integer.

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: D

Rationale: To find the correct amount of vanilla in mL, first, multiply 5.5 (teaspoons) by 4.93 (mL per teaspoon) to get 27.115 mL. Then round to the nearest whole number, giving 27 mL. Therefore, choice D is correct. Choices A, B, and C are incorrect as they do not result from the correct conversion calculation.

Correct Answer: C

Rationale: The correct answer is C because a composite number is a number that has more than 2 factors. Factors are numbers that can divide the given number without leaving a remainder. Composite numbers are not prime numbers, which have exactly 2 factors - 1 and the number itself. For example, 6 is a composite number because it has factors 1, 2, 3, and 6. Choice A is incorrect because it describes a prime number, not a composite number. Choice B is incorrect as being a fraction doesn't determine if a number is composite. Choice D is incorrect because a number with exactly two factors is a prime number, not a composite number.