TEAS Math Practice Test

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: To find the speed in feet per second, first convert 72 miles to feet (1 mile = 5280 feet). Then, convert 90 minutes to seconds (1 minute = 60 seconds). Next, divide the distance in feet by the time in seconds to get the speed in feet per second. The correct calculation is (72 miles * 5280 feet/mile) / (90 minutes * 60 seconds/minute) = 70.4 feet per second. Choice A is too low, choice B is too high, and choice C is extremely low compared to the correct answer.

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: B

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: C

Rationale: To find the number of red cans Jessica bought, let's denote the number of red cans as 'x' and the number of blue cans as '10 - x'. The total cost equation is: 1*x + 2*(10-x) = 16. Simplify to x + 20 - 2x = 16, which gives x = 4. Therefore, Jessica bought 4 red cans. Explanation for other choices: A: 2 red cans would result in a total cost of $18, not $16. B: 3 red cans would result in a total cost of $17, not $16. D: 5 red cans would result in a total cost of $15, not $16.