TEAS Practice Math Test

Correct Answer: A

Rationale: The mode is the value that appears most frequently in a set of numbers. In this distribution, the number 1 appears the most times (5 times), making it the mode. Choice A is correct. Choices B, C, and D are incorrect because they do not represent the value that appears most frequently in the distribution.

Correct Answer: C

Rationale: To calculate the total square inches of wrapping paper needed, we first find the surface area of the box. The surface area of a rectangular box is calculated by adding the areas of all its faces. For this box, the surface area is 2(14x8) + 2(14x6) + 2(8x6) = 224 + 168 + 96 = 488 square inches. Therefore, the correct answer is C (488). Choice A (56) is incorrect because it is too small and does not account for all sides of the box. Choice B (244) is also incorrect as it is not the total surface area of the box. Choice D (672) is incorrect as it is too large and does not accurately represent the wrapping paper needed.

Correct Answer: A

Rationale: The correct answer is A: x + 4 = (1/3)y - 2. To break down the equation: 1. "Four more than a number, x" can be represented as x + 4. 2. "2 less than 1/3 of another number, y" can be represented as (1/3)y - 2. 3. Combining the two expressions gives x + 4 = (1/3)y - 2, which correctly represents the given sentence. Other choices are incorrect because they do not accurately capture the relationship between x and y as described in the sentence. Choice B incorrectly sets 4x equal to 2 minus 1/3 of y, while choices C and D have incorrect signs and placements of terms.

Correct Answer: A

Rationale: The correct answer is A because it shows a direct proportion between the initial deposit and the monthly deposits. The relationship is proportional as the amount deposited per month remains constant ($125). This indicates a consistent ratio between the initial deposit and subsequent deposits. B is incorrect as it involves a fixed hourly rate and a bonus, not a proportional relationship. C is incorrect as it involves fixed monthly cost and variable cost per minute, not a proportional relationship. D is incorrect as it states a constant rate of speed, not a proportional relationship based on changing variables.

Correct Answer: A

Rationale: To find the total months required for Robert to secure 24 clients, we can set up a proportion: 3 clients/8 months = 24 clients/x months. Cross multiplying gives us 3x = 192, so x = 64 months. Therefore, the correct answer is A (64 months). The other choices are incorrect because they do not yield the correct solution when the proportion is applied. B (58 months), C (52 months), and D (66 months) do not align with the correct calculation based on the given information.