TEAS Exam Math Practice

Correct Answer: C

Rationale: To find the number of hosts, we first need to determine the total number of parts in the ratio, which is 9 + 2 + 1 = 12 parts. Then, for hosts, we calculate (2/12) * 36 = 6 hosts. Therefore, the correct answer is C. Choice A (3) is incorrect because it does not properly reflect the ratio provided. Choice B (4) is incorrect as well because it does not align with the ratio. Choice D (8) is incorrect because it exceeds the total number of employees in the restaurant.

Correct Answer: A

Rationale: The correct answer is A: 13% decline. To calculate the overall percentage growth or decline in business, we need to consider the weighted average change. First, calculate the weighted average change for print subscriptions: (40% decrease x 70% weight) = 28% decrease. Then, calculate the weighted average change for online subscriptions: (60% increase x 25% weight) = 15% increase. Finally, subtract the increase from the decrease to get the overall change: 15% - 28% = -13%. Therefore, there is a 13% decline in business. Summary: A: 13% decline - Correct B: 15% decline - Incorrect, as it doesn't account for the weighted average. C: 28% growth - Incorrect, as it doesn't consider the decrease in print subscriptions. D: 8% growth - Incorrect, as it doesn't consider the weighted average change.

Correct Answer: D

Rationale: To calculate the percentage of questions answered correctly, divide the number of correct answers by the total questions and multiply by 100. In this case: (42/48) x 100 = 87.5%. Therefore, choice D (87.50%) is correct. Choice A (1.14%) is too low. Choice B (82.50%) is close but incorrect. Choice C (85.00%) is also close but not the accurate percentage.

Correct Answer: C

Rationale: To find the number of hosts, we first need to determine the total number of parts in the ratio, which is 9 + 2 + 1 = 12 parts. Then, for hosts, we calculate (2/12) * 36 = 6 hosts. Therefore, the correct answer is C. Choice A (3) is incorrect because it does not properly reflect the ratio provided. Choice B (4) is incorrect as well because it does not align with the ratio. Choice D (8) is incorrect because it exceeds the total number of employees in the restaurant.

Correct Answer: C

Rationale: To solve the equation 5(4x - 5) = (3/2)(2x - 6), first distribute on both sides to get 20x - 25 = 3x - 9. Then, move x terms to one side and constants to the other side to get 17x = 16. Finally, divide by 17 to find x = 16/17, which is the correct answer (C). The other choices are incorrect because they do not yield the correct value of x when substituted back into the original equation.