TEAS Exam Math Practice

Correct Answer: A

Rationale: To find the width of the field, we need to set up the equation for the area of a rectangle: Area = length x width. Given that the area is 1452 square feet, and the length is three times the width, we can write the equation as 1452 = 3x * x. Solving for x (width), x = 18 feet. Therefore, the correct answer is A: 22 feet. Option B, 44 feet, is incorrect as it is double the correct width. Option C, 242 feet, is incorrect as it does not match the calculated width. Option D, 1452 feet, is incorrect as it represents the total area of the field, not the width.

Correct Answer: C

Rationale: To solve the equation 5(4x - 5) = (3/2)(2x - 6), first distribute on both sides to get 20x - 25 = 3x - 9. Then, move x terms to one side and constants to the other side to get 17x = 16. Finally, divide by 17 to find x = 16/17, which is the correct answer (C). The other choices are incorrect because they do not yield the correct value of x when substituted back into the original equation.

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.

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.

Correct Answer: A

Rationale: To find the sale price after a 20% discount, we first calculate the discount amount: 20% of $30 is $6. Subtracting this discount from the original price gives us the sale price: $30 - $6 = $24, which is choice A. Other choices are incorrect as they do not reflect the correct calculation of the discount. B, C, and D are all higher than the correct answer, indicating incorrect calculations.