TEAS Practice Math Test

Correct Answer: B

Rationale: The best estimate of the total number of pounds of potatoes on the farmer's trailer can be calculated by finding the average weight per bag and then multiplying it by the total number of bags. Since each bag contains between 23 to 27 pounds, we can estimate the average weight per bag to be around 25 pounds. With 150 bags, the total weight would be approximately 150 bags * 25 pounds per bag = 3,750 pounds. Therefore, the best estimate is 3,700 pounds (Choice B). Choice A (3,000 pounds) is too low as it assumes the lowest possible weight per bag consistently. Choice C (4,100 pounds) is too high as it assumes the highest possible weight per bag consistently. Choice D (5,000 pounds) is also too high and overestimates the total weight based on the given information.

Correct Answer: A

Rationale: To calculate Jonathan's monthly bill for x roaming minutes, we need to add the flat rate of $65 to the charge per minute of $0.12 multiplied by the number of roaming minutes x. Therefore, the correct expression is 65 + 0.12x. Choice A (65 + 0.12x) is correct because it accurately represents the total bill by adding the flat rate and the variable charge for roaming minutes. Choices B (65x + 0.12), C (65.12x), and D (65 + 0.12x) are incorrect because they do not correctly combine the flat rate and the charge per minute for roaming. Choice B incorrectly multiplies the flat rate by the variable x, Choice C combines the flat rate and the charge incorrectly, and Choice D does not account for the flat rate in the correct way.

Correct Answer: C

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: B

Rationale: The best estimate of the total number of pounds of potatoes on the farmer's trailer can be calculated by finding the average weight per bag and then multiplying it by the total number of bags. Since each bag contains between 23 to 27 pounds, we can estimate the average weight per bag to be around 25 pounds. With 150 bags, the total weight would be approximately 150 bags * 25 pounds per bag = 3,750 pounds. Therefore, the best estimate is 3,700 pounds (Choice B). Choice A (3,000 pounds) is too low as it assumes the lowest possible weight per bag consistently. Choice C (4,100 pounds) is too high as it assumes the highest possible weight per bag consistently. Choice D (5,000 pounds) is also too high and overestimates the total weight based on the given information.

Correct Answer: D

Rationale: To find the total bonus amount, we need to work backwards. Since Chan has $600 remaining after paying taxes, donating, and paying off debt, this $600 represents 15% of his original bonus (100% - 30% - 30% - 25% = 15%). Therefore, $600 is equivalent to 15% of the bonus. To find the total bonus amount, we divide $600 by 15% (or 0.15), which equals $4,000. Thus, the correct answer is D: $4,000. Choice A ($3,000) is incorrect because it does not account for the remaining $600. Choice B ($3,200) and choice C ($3,600) are also incorrect as they do not reflect the correct percentage left after all deductions, which is 15%.