TEAS Math Practice Test

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: To find out how much paint Shawna has left, we need to subtract the amount she used from the total amount she bought. 2/5 of 5 gallons is 2 gallons. Subtracting 2 gallons from 5 gallons leaves her with 3 gallons of paint left. Therefore, the correct answer is A. Choice B (2 gallons) is incorrect because that is the amount she used, not the amount she has left. Choice C (1 gallon) and D (0.5 gallons) are also incorrect as they do not accurately represent the amount of paint Shawna has left after using 2/5 of it.

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: C

Rationale: To find the fraction of blue shirts, we need to subtract the fractions of green and red shirts from 1 (total). Given that 1/4 are green and 1/3 are red, the fraction of blue shirts is 1 - 1/4 - 1/3 = 12/12 - 3/12 - 4/12 = 5/12. Therefore, the correct answer is C: 5/12. Choice A (1/2) is incorrect as it doesn't consider the given fractions of green and red shirts. Choice B (1/3) is incorrect as it only considers the fraction of red shirts. Choice D (1/4) is incorrect as it only considers the fraction of green shirts.

Correct Answer: A

Rationale: To express 18/5 as a reduced mixed number, we divide 18 by 5 which equals 3 with a remainder of 3. So, 18/5 = 3 3/5. This mixed number is in its simplest form. Choice A is correct. Choices B, C, and D are incorrect as they do not represent the correct division of 18 by 5 resulting in the remainder of 3.