TEAS Practice Math Test

Correct Answer: D

Rationale: The correct order from least to greatest is -8, -7 4/5, -3/4, 18%, 0.25, 2.5. To determine this: 1. Start with the integers: -8 is the smallest, followed by -7 4/5. 2. Then, consider the fractions: -3/4 is smaller than -7 4/5. 3. Next, compare the decimals: 0.25 is smaller than 18% (which is equivalent to 0.18). 4. Finally, compare 2.5 with the rest; it is the largest. Explanation for incorrect choices: - Choice A: Incorrect order as -8 is greater than -7 4/5. - Choice B: Incorrect order as -3/4 should come before -7 4/5. - Choice C: Incorrect order as 2.5 should be the largest, not the smallest in the list.

Correct Answer: A

Rationale: To calculate the percentage of Dr. Lee's patients hospitalized, we need to find 5% of the 30% who developed an infection. 5% of 30% is 1.5%. Therefore, the correct answer is A: 1.50%. Choice B (5%) is incorrect because it represents the percentage of patients who developed an infection, not those hospitalized. Choice C (15%) is incorrect as it is the total percentage of patients who developed an infection, not just those hospitalized. Choice D (30%) is incorrect as it represents the initial percentage of patients who developed an infection, not those hospitalized.

Correct Answer: D

Rationale: The correct order from least to greatest is -8, -7 4/5, -3/4, 18%, 0.25, 2.5. To determine this: 1. Start with the integers: -8 is the smallest, followed by -7 4/5. 2. Then, consider the fractions: -3/4 is smaller than -7 4/5. 3. Next, compare the decimals: 0.25 is smaller than 18% (which is equivalent to 0.18). 4. Finally, compare 2.5 with the rest; it is the largest. Explanation for incorrect choices: - Choice A: Incorrect order as -8 is greater than -7 4/5. - Choice B: Incorrect order as -3/4 should come before -7 4/5. - Choice C: Incorrect order as 2.5 should be the largest, not the smallest in the list.

Correct Answer: C

Rationale: To find the percentage of times Cora did not slip and fall, subtract the times she fell (20) from the total times around the rink (27): 27 - 20 = 7. Then, divide the times she did not fall (7) by the total times (27): 7 / 27 ≈ 0.259 or 26%. The correct answer is C (26%), as it represents the approximate percentage of times Cora did not slip and fall. Explanation for other choices: A: 37% - Incorrect. This percentage does not accurately represent the times Cora did not slip and fall. B: 74% - Incorrect. This percentage is too high and does not align with the calculation. D: 15% - Incorrect. This percentage is too low and does not align with the calculation.

Correct Answer: D

Rationale: Failed to generate a rationale after 5 retries.