Math Practice TEAS Test

Correct Answer: A

Rationale: To find the ratio of students with brown eyes to students with green eyes, we divide the number of students with brown eyes by the number of students with green eyes. In this case, 14 students with brown eyes divided by 2 students with green eyes equals 7. Therefore, the correct ratio is 7:1 (choice A). Choice B is incorrect as it represents the ratio of 7:2, which is the reverse of the given scenario. Choice C is incorrect as it shows the ratio of 14:2, which can be further simplified to 7:1. Choice D is incorrect as it incorrectly states the ratio as 14:1, which is not the case based on the information provided.

Correct Answer: C

Rationale: To arrange fractions from least to greatest, find a common denominator. For 2/3, 1/2, 5/8, 7/9, the common denominator is 72. Convert each fraction: 2/3 = 24/72, 1/2 = 36/72, 5/8 = 45/72, 7/9 = 56/72. Now, arrange them: 24/72, 36/72, 45/72, 56/72. Thus, the correct order is 1/2, 5/8, 2/3, 7/9 (Choice C). Other choices are incorrect because they do not follow the correct order after converting to a common denominator.

Correct Answer: A

Rationale: The correct answer is A: 2.54 centimeters in an inch; 0.393 inches in a centimeter. The conversion factor between inches and centimeters is 2.54, derived from the definition of an inch. To convert inches to centimeters, you multiply by 2.54. Conversely, to convert centimeters to inches, you divide by 2.54. The other choices are incorrect because they do not reflect the accurate conversion factor between inches and centimeters. B and C have incorrect conversion ratios, while D has an incorrect relationship between inches and centimeters.

Correct Answer: A

Rationale: The correct answer is A. In direct proportion, both quantities increase or decrease together. This means as one quantity increases, the other also increases by the same factor, and vice versa. This relationship is represented by a straight line passing through the origin in a graph. Choice B is incorrect because in direct proportion, both quantities do not decrease together; they either both increase or both decrease. Choice C is incorrect because in direct proportion, both quantities do not stay the same while the other increases; they both change together. Choice D is incorrect because in direct proportion, one quantity does not increase while the other decreases; they both increase or decrease together.

Correct Answer: B

Rationale: The correct answer is B (0.23). To find the percentage donated to support construction, we need to subtract the percentage that went towards construction costs from 100% (total). Therefore, 100% - 23% = 77%. This means that 77% of the funds were donated to support construction. Choice A (0.49), C (0.18), and D (0.1) are incorrect because they do not represent the correct percentage of funds donated to support construction after deducting the construction costs.