TEAS Math Practice Test

Correct Answer: D

Rationale: The factors of a number are the integers that can divide the number without leaving a remainder. To find the factors of 12, we start with 1 and check each integer up to 12. 1, 2, 3, 4, 6, and 12 are all factors of 12 because they divide evenly into 12. Choice D is correct because it lists all the factors of 12. Choices A, B, and C include numbers that are not factors of 12, making them incorrect.

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: 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: 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 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.