TEAS Math Practice Test

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: C

Rationale: The correct answer is C: x = y^2. This equation does not represent a function because it fails the vertical line test, where any vertical line intersects the graph at more than one point. In this case, for each x value, there are two corresponding y values (positive and negative square roots), violating the definition of a function where each input can only have one unique output. Choices A, B, and D all represent functions as each x value corresponds to only one y value, satisfying the function criteria.

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: D

Rationale: Correct Answer: D (1 apple) Rationale: 1. Xavier starts with 20 apples. 2. He gives half to Emma, leaving him with 10 apples. 3. He gives 6 apples to Jim, leaving him with 4 apples. 4. He uses 3/4 of his remaining 4 apples for the pie, leaving him with 1 apple. Summary: - Choice A (4 apples) is incorrect because Xavier uses 3/4 of his remaining apples for the pie. - Choice B (6 apples) is incorrect because Xavier gives 6 apples to Jim. - Choice C (2 apples) is incorrect because Xavier uses 3/4 of his remaining apples for the pie.

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.