TEAS Practice Math Test

Correct Answer: A

Rationale: The correct answer is A: 3600 cubic inches. To calculate the volume of the aquarium, you multiply the length, width, and height: 30 x 10 x 12 = 3600 cubic inches. This is the total capacity of the aquarium when filled completely. Choice B (52 cubic inches) is too small as it doesn't consider the full dimensions of the aquarium. Choice C (312 cubic inches) and Choice D (1144 cubic inches) are incorrect because they do not accurately calculate the volume based on the given dimensions.

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%.

Correct Answer: A

Rationale: The correct answer is A: $600. The first step is to calculate the amount saved after paying rent and utilities. Since she uses 2/5 for rent and utilities, she saves 3/5 of her monthly contribution. Then, she saves half of this amount for incidental expenditures, which means she spends the other half on medical supplies. Therefore, she spends 1/4 of her monthly contribution on medical supplies. If we let her monthly contribution be x, then 1/4 of x equals $600. Therefore, the correct answer is $600. Choices B, C, and D are incorrect because they do not align with the calculations based on the given information.

Correct Answer: B

Rationale: The correct answer is B: b = 5w + 10. To determine the correct equation, we can analyze the data in the table given. We can observe that when the number of weeks increases by 1, the number of books checked out increases by 5. This indicates a constant rate of increase of 5 books per week, which aligns with the equation b = 5w + 10. The initial value of 10 represents the number of books already checked out before week 1. Choices A, C, and D do not exhibit a constant rate of increase or the correct initial value based on the data provided.

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.