TEAS Test Sample Math Questions

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: D

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: A

Rationale: To round 8.067 to the nearest tenth, we look at the digit in the hundredths place, which is 6. Since 6 is 5 or greater, we round up the digit in the tenths place (0) by 1. Therefore, 8.067 rounded to the nearest tenth is 8.1 (choice B). Choice A, 8.07, is incorrect because we need to round up to 8.1. Choice C, 8, is incorrect because it is rounding down to the nearest whole number. Choice D, 8.11, is incorrect because it is rounding to the nearest hundredth, not the nearest tenth.

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.