TEAS Math Practice Test

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: D

Rationale: To find the perimeter of a rectangle, we add the lengths of all four sides. For this rectangle with a length of 7 cm and width of 3 cm, the perimeter formula is P = 2(length + width). Substituting in the values, we get P = 2(7 + 3) = 2(10) = 20 cm. Therefore, the correct answer is D (20 cm). Option A (21 cm) is incorrect as it exceeds the sum of the length and width. Option B (10 cm) is incorrect as it only accounts for one side. Option C (14 cm) is incorrect as it doesn't consider all four sides.

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: C

Rationale: The number -4 is classified as real, rational, and integer. 1. Real: -4 is a real number as it exists on the number line. 2. Rational: -4 can be expressed as -4/1, which is a ratio of two integers. 3. Integer: -4 is a whole number that includes negative numbers. Therefore, the correct answer is C. Summary: A: Incorrect, as it includes "natural," which does not apply to negative numbers. B: Incorrect, as it includes "natural," which is only positive integers. D: Incorrect, as -4 is rational, not irrational.

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.