TEAS Practice Test Math

Correct Answer: B

Rationale: To find the average time per mile, we calculate the total time taken for both segments (25 minutes for 5 miles + 15 minutes for 3 miles = 40 minutes for 8 miles). Then, we divide the total time by the total distance (40 minutes ÷ 8 miles = 5 minutes per mile). Therefore, the correct answer is B. Choice A (7 minutes) is incorrect because it does not align with the calculated average time per mile of 5 minutes. Choice C (6.5 minutes) is incorrect as it is not the accurate average based on the given data. Choice D (8.5 minutes) is incorrect as it also does not match the calculated average time per mile of 5 minutes.

Correct Answer: A

Rationale: To solve the equation 3(x-2) = 12 for x: 1. Distribute the 3 to both terms inside the parentheses: 3x - 6 = 12 2. Add 6 to both sides: 3x = 18 3. Divide by 3: x = 6 Choice A (6) is correct. Choice B (-2) results in x = 4, not 6. Choice C (-4) results in x = 2, not 6. Choice D (2) results in x = 8, not 6.

Correct Answer: C

Rationale: To find out how much ammonia is needed, we first calculate the total amount of ammonia needed for 230 gallons of solution. Since 1 gallon requires 6 oz of ammonia, for 230 gallons, we multiply: 230 (gallons) x 6 (oz) = 1380 oz of ammonia. Therefore, the correct answer is C: 1380 oz. Other choices are incorrect because: A: 1380 gallons - This does not make sense as we are calculating the amount of ammonia, not the total volume of cleaning solution. B: 6900 gallons - This is not a logical calculation based on the given information. D: 1400 oz - This is close to the correct answer but miscalculates the total amount of ammonia required.

Correct Answer: A

Rationale: To calculate the number of months, we first subtract the down payment from the total cost to get the remaining balance: $1570 - $400 = $1170. Then, we divide the remaining balance by the monthly payment to determine the number of months: $1170 / $100 = 11.7 months. Since we cannot have partial months in this case, we round up to the nearest whole number, giving us 12 months. Therefore, the correct answer is A (12 months). Choice B (16 months) is too high, Choices C (15 months) and D (11 months) are too low based on the calculations.

Correct Answer: D

Rationale: To determine the correct order of the groups, we need to compare the fractions given for each group. Group X has 1/4 of the doctors, Group Y has 1/3, and Group Z has 1/6. Comparing the fractions, we see that 1/3 is larger than 1/4 but smaller than 1/6. Therefore, Group Y has the most doctors, followed by Group X, and then Group Z. Hence, the correct order is D: Group Y, Group X, Group Z. This is because Group Y has the largest fraction of doctors, followed by Group X, and then Group Z. Choices A, B, and C can be eliminated because they do not follow the correct order based on the fractions provided.