TEAS Exam Math Practice

Correct Answer: D

Rationale: To convert a decimal to a fraction, we count the number of decimal places and put the digits after the decimal over the appropriate power of 10. For 3.28, there are two decimal places, so we write it as 328/100. Simplifying gives us 41/25, which matches choice D. Choices A, B, and C are incorrect as they do not represent the value of 3.28 when converted to a fraction. Option A is equivalent to 3.28 written as 3.28/1, which is not correct. Options B and C do not represent 3.28 accurately either.

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: B

Rationale: Failed to generate a rationale after 5 retries.

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: C

Rationale: To calculate Annie's total bill: 1. Cost of shirts: 5 shirts x $3 = $15 2. Cost of pants: 4 pants x $6 = $24 3. Cost of mending: 2 items x $5 = $10 4. Subtotal = $15 + $24 + $10 = $49 5. Add 8% sales tax: $49 x 0.08 = $3.92 6. Total bill = $49 + $3.92 = $52.92 Therefore, the correct answer is C ($52.92). The other choices are incorrect because they do not accurately factor in the cost of mending and sales tax. Option A, B, and D do not consider the additional charges for mending and tax, leading to incorrect totals.