TEAS Exam Math Practice

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: D

Rationale: To determine the order from least to greatest, we need to evaluate each expression. First, calculate each expression: 2^-1 = 1/2 -(4/3) = -4/3 (-1)^3 = -1 (2/5) = 2/5 Now, compare the values: -4/3 is the smallest, followed by -1, then 2/5, and finally 1/2. Therefore, the correct order is -(4/3), (-1)^3, (2/5), 2^-1. Option D correctly lists the expressions in this order. Option A is incorrect because it has the wrong order of the expressions. Option B is incorrect as it has a different order compared to the correct one. Option C is incorrect as it also has a different order than the correct one.

Correct Answer: A

Rationale: To find the diameter of a circle from its circumference, we use the formula: Diameter = Circumference / π. Given the circumference is 49 feet, we can calculate the diameter by dividing 49 by π (approximately 3.14), resulting in 15.6 feet, which is choice A. Option B, 17.8 feet, is incorrect as it does not match the calculation. Option C, 49 feet, is the circumference, not the diameter. Option D, 153.9 feet, is incorrect as it is not the result of dividing the circumference by π. Therefore, choice A is the correct answer based on the formula for finding the diameter of a circle.

Correct Answer: B

Rationale: To find the total area to be painted, calculate the area of each wall in square feet and convert to square meters. Add all areas together. Then divide by 32 to get the number of gallons. For this case, the correct answer is B: 1.43 gallons. This is calculated by first finding the total area to be painted which is 15x9 + 15x9 + 12.5x9 + 12.5x9 = 337.5 square feet. Converting this to square meters gives 31.36 square meters. Dividing by 32 (the coverage per gallon) gives approximately 1.43 gallons. The other choices are incorrect because they do not reflect the accurate calculation based on the given information.

Correct Answer: B

Rationale: The correct answer is B: c = p/m. To calculate the cost of gas per mile, we need to divide the price of gas (p) by the car's average mileage (m) in miles per gallon. This gives us the cost of gas per mile. Rationale: 1. The formula for cost per mile is calculated by dividing the price of gas by the car's average mileage. 2. Choice A (c = dp/m) is incorrect because it multiplies the price of gas by distance before dividing by mileage, which is not the correct calculation for cost per mile. 3. Choice C (c = mp/d) is incorrect as it multiplies average mileage by price before dividing by distance, which is not the correct calculation for cost per mile. 4. Choice D (c = m/p) is incorrect as it divides mileage by price, which does not give the cost of gas per mile.