TEAS Math Practice Test

Correct Answer: D

Rationale: To find the fraction the fourth person pays, we need to calculate the sum of fractions paid by the first three people. 1/3 + 1/4 + 1/6 = 4/12 + 3/12 + 2/12 = 9/12. Therefore, the fourth person pays 1 - 9/12 = 3/12 or 1/4 of the bill. Choice D (1/12) is incorrect as it does not account for the fractions paid by the other three people. Choices A (1/4), B (1/6), and C (1/3) are incorrect as they represent the fractions paid by other individuals, not the fourth person.

Correct Answer: A

Rationale: To simplify (x^2 + 2x)/(x), we first factor out x from the numerator to get x(x + 2). This simplifies to x + 2 since x/x = 1. Therefore, the correct answer is A: x + 2. Choice B is incorrect because it represents the original expression without simplification. Choice C is incorrect as it is the factored form of the original expression. Choice D is incorrect as it does not simplify to the correct form.

Correct Answer: D

Rationale: To convert a decimal to a percentage, you multiply by 100. Therefore, 0.80 * 100 = 80%. So, the correct answer is D. Choice A (40%) is incorrect because 0.80 is not equal to 0.40. Choice B (125%) is incorrect as 0.80 is less than 1. Choice C (90%) is incorrect as 0.80 is not equal to 0.90.

Correct Answer: A

Rationale: The correct answer is A. The domain of a function is the set of all possible input values. For the function y = 1/x, the denominator cannot be 0 since division by zero is undefined. Therefore, x cannot be 0. Hence, the domain includes all real numbers except 0, which is choice A. Choices B, C, and D are incorrect because B restricts x to be greater than 0, C limits x to be exactly 0, and D fixes x to be 1, all of which are not applicable for the given function.

Correct Answer: C

Rationale: To find the sixth number, we can first calculate the sum of all six numbers by multiplying the average (6) by the total count (6), which equals 36. Since the sum of five numbers is 25, the sixth number can be found by subtracting 25 from 36, giving us 11 (Choice C). Other choices are incorrect because they do not satisfy the conditions given in the question. Choice A, 8, would make the sum of six numbers less than 36. Choice B, 10, would also make the sum less than 36. Choice D, 12, would make the sum greater than 36. Thus, the correct answer is C (11).