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: A

Rationale: To divide fractions, we multiply the first fraction by the reciprocal of the second. So, (4/3) ÷ (9/13) = (4/3) x (13/9) = 52/27. The correct answer is A, 52/27, as it follows the correct procedure of dividing fractions. The other choices are incorrect because they do not result from the proper operation of dividing fractions.

Correct Answer: D

Rationale: To write 0.80 as a percent, you multiply it by 100. So, 0.80 * 100 = 80%. Therefore, the correct answer is D. Choice A (40%) is incorrect because 0.80 is not equivalent to 40%. Choice B (125%) is incorrect as 0.80 is less than 100%. Choice C (90%) is incorrect because 0.80 is not equal to 90%.

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: 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.