TEAS Test Sample Math Questions

Correct Answer: C

Rationale: The product of two irrational numbers can be either rational or irrational. To understand this, consider √2 * √2 = 2, making it rational. However, √2 * π remains irrational. Therefore, the product can be either rational or irrational, leading to choice C being the correct answer. Choice A is incorrect because the product may be rational. Choice B is incorrect as the product is not always rational. Choice D is incorrect as it does not address the possibility of the product being rational.

Correct Answer: D

Rationale: To express 8 3/7 as an improper fraction, we multiply the whole number (8) by the denominator of the fraction (7), then add the numerator (3) to get the numerator of the improper fraction. So, 8 * 7 + 3 = 59. The denominator remains the same, so the improper fraction is 59/7. Explanation of other choices: A: 11/7 - Incorrect. This is the sum of the whole number and fraction as a mixed number, not an improper fraction. B: 21/8 - Incorrect. This doesn't represent 8 3/7 as an improper fraction. C: 5/3 - Incorrect. This is a completely different fraction and does not represent 8 3/7.

Correct Answer: B

Rationale: To find out how much paint Shawna has left, subtract the amount she used from the total amount she bought. 5.0 gallons - 2.5 gallons = 2.5 gallons left. So, the correct answer is B: 2.5 gallons. Choice A (2.0 gallons) is incorrect as it does not account for the amount used. Choice C (3.0 gallons) is incorrect as it overestimates the amount left. Choice D (1.5 gallons) is incorrect as it underestimates the amount left.

Correct Answer: C

Rationale: To find what fraction the fourth person pays, we first calculate the sum of fractions paid by the first three people: 1/5 + 1/3 + 1/12 = 12/60 + 20/60 + 5/60 = 37/60. The total bill is 1, so the fourth person pays 1 - 37/60 = 23/60. Therefore, the correct answer is C (47/60). Choice A (1/4) is incorrect as it does not consider the fractions paid by the first three people. Choice B (13/60) is incorrect as it is the sum of the fractions paid by the first three people, not what the fourth person pays. Choice D (1/4) is a duplicate of choice A and is also incorrect.

Correct Answer: A

Rationale: The correct answer is A: All real numbers. The function f(x)=2x+5 is a linear function, which means it is defined for all real numbers. There are no restrictions on the input x, so the domain includes all real numbers. Choices B, C, and D are incorrect because they impose restrictions on the domain that are not present in the given function. Choice B limits x to be greater than or equal to 0, choice C limits x to be strictly greater than 0, and choice D limits x to be less than or equal to 0, all of which are not accurate for the function f(x)=2x+5.