TEAS Math Practice Test

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: 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: The mode is the number that appears most frequently in a set. In this case, the number 4 appears twice, which is more frequent than any other number in the set. Therefore, the mode of {4, 4, 5, 7, 8} is 4. Choice B (5), C (7), and D (8) are incorrect because each of these numbers appears only once in the set, making them less frequent than 4. The mode must be the number that appears most often in the set, which is 4.

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: D

Rationale: To find the sum of 3/4 and 5/8, we need a common denominator, which is 8. 3/4 is equivalent to 6/8, so the sum becomes 6/8 + 5/8 = 11/8. 11/8 can be simplified to 1 3/8, which is answer choice A. Therefore, the correct answer is D, 1 5/8. Choices A, B, and C are incorrect as they do not represent the correct sum of the fractions.