TEAS Test Math Questions

Correct Answer: D

Rationale: To find the area of a circle, we use the formula A = πr^2, where r is the radius. Since the diameter is 16 cm, the radius is half of that, which is 8 cm. Plugging this into the formula, A = 3.14 * 8^2 = 3.14 * 64 = 200.96 cm^2. Therefore, the correct answer is D. Choice A: 25.12 - This is incorrect as it is much smaller than the correct answer. Choice B: 50.24 - This is incorrect as it is also smaller than the correct answer. Choice C: 100.48 - This is incorrect as it is still smaller than the correct answer.

Correct Answer: C

Rationale: To make a 5:1 solution of water to HCl, we need 5 parts water and 1 part HCl. So, in 2.5 liters, 5/6 parts are water and 1/6 part is HCl. Therefore, 2.5 liters * 1/6 = 0.4167 liters of HCl. As 1 liter of HCl weighs approximately 5 grams, 0.4167 liters would be around 5 * 0.4167 = 2.08 grams. The closest option to this calculated weight is 5 grams (Choice C), making it the correct answer. Choices A, B, and D are incorrect as they do not correspond to the calculated amount of HCl needed for the solution.

Correct Answer: C

Rationale: To find the mean, sum all values and divide by the total count. For this data set, sum = 16+18+17+15+19+14+12+11+10+16+18+17 = 183. Total count = 12. Mean = 183/12 = 15.25, which makes choice C, 16, the correct answer. Choice A, 14.25, and B, 15.25, are incorrect as they do not match the calculated mean. Choice D, 17, is incorrect as it is higher than the calculated mean value.

Correct Answer: A

Rationale: To simplify (x^2 - y^2) / (x - y), we recognize it as a difference of squares, (x^2 - y^2) = (x + y)(x - y). Therefore, the expression simplifies to (x + y). The correct answer is A because when we divide (x + y)(x - y) by (x - y), the (x - y) terms cancel out, leaving us with x + y. Choices B, C, and D are incorrect because they do not consider the factorization of the numerator as a difference of squares, leading to incorrect simplifications.

Correct Answer: A

Rationale: To simplify the expression 2x + 3x - 5, we combine like terms. First, add 2x and 3x to get 5x. Then, subtract 5 from 5x to get the final simplified expression: 5x - 5. Therefore, choice A is correct. Choices B, C, and D are incorrect because they do not correctly combine the like terms or subtract the constant term from the final result.