TEAS Exam Math Practice

Correct Answer: A

Rationale: The correct answer is A: 13% decline. To calculate the overall percentage growth or decline in business, we need to consider the weighted average change. First, calculate the weighted average change for print subscriptions: (40% decrease x 70% weight) = 28% decrease. Then, calculate the weighted average change for online subscriptions: (60% increase x 25% weight) = 15% increase. Finally, subtract the increase from the decrease to get the overall change: 15% - 28% = -13%. Therefore, there is a 13% decline in business. Summary: A: 13% decline - Correct B: 15% decline - Incorrect, as it doesn't account for the weighted average. C: 28% growth - Incorrect, as it doesn't consider the decrease in print subscriptions. D: 8% growth - Incorrect, as it doesn't consider the weighted average change.

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.

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: 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: 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.