TEAS Practice Math Test

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.

Correct Answer: C

Rationale: To find the number of hairs used for the drug test, we need to calculate 1/7 of 100 hairs. 1/7 * 100 = 100/7 ≈ 14.29 hairs were used for the drug test. Therefore, the correct answer is C (14.29). Option A (14) is incorrect as it does not accurately represent 1/7 of 100. Option B (14.2) is also incorrect as it is not the exact result of the calculation. Option D (14.3) is incorrect as it rounds up the result, which is not necessary based on the question's requirement to round to the nearest hundredth.

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: 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.