TEAS Exam Math Practice

Correct Answer: D

Rationale: To solve the equation (5/4)x = 20, we first multiply both sides by 4/5 to isolate x. So, x = 20 * 4/5 = 16. Therefore, the correct answer is D. Option A, 8, is incorrect because x is not equal to 8. Option B, 24, and option C, 32, are also incorrect as they do not satisfy the given equation.

Correct Answer: D

Rationale: The correct answer is D: The median is less than the mean. To find the median, first arrange the set in ascending order {5, 11, 18, 20, 37, 37, 60, 72, 90}. The median is the middle value, which is 37 here. To find the mean, add up all numbers and divide by the total count (sum/9). The mean is (60+5+18+20+37+37+11+90+72)/9 = 41.67. Since 37 (median) is less than 41.67 (mean), the statement is true. Other choices are incorrect because A is false as median ≠ mean, B is false since mean > mode, and C is false since mode ≠ median.

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: D

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: A

Rationale: To calculate the shop's revenue over three days, we need to consider the total sales of sandwiches, drinks, and cookies over the three days. The revenue formula should include the earnings from each item multiplied by the quantity sold. Therefore, the correct equation is r = 4s + 2d + 1c. This is because for each sandwich sold, the shop earns $4, for each drink $2, and for each cookie $1. Choices B, C, and D are incorrect as they incorrectly multiply the earnings by multiples of the quantities sold, which would result in an inflated revenue amount.