TEAS Practice Math Test

Correct Answer: D

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: D

Rationale: To solve the equation 3(x - 1) = 2(3x - 9), first distribute the terms: 3x - 3 = 6x - 18. Then, isolate x by moving the variables to one side: 3x - 6x = -18 + 3. Simplify to get -3x = -15, and divide by -3 to find x = 5. Choice D is correct as it correctly solves the equation step by step. Choices A, B, and C are incorrect because they do not yield the correct solution when the equation is solved.

Correct Answer: C

Rationale: To calculate what Erma will spend, we first find the cost of the cheaper sweater after the discount, which is $44 - (25% of $44) = $44 - $11 = $33. Then, we add the cost of the more expensive sweater, which remains at $50. Therefore, Erma will spend $33 + $50 = $83. The correct answer is C. Option A is incorrect because it does not consider the discount on the cheaper sweater. Option B is incorrect as it underestimates the total cost by not factoring in the discount. Option D is incorrect as it overestimates the total cost by not considering the discount on the cheaper sweater.

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: 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.