TEAS Test Math Questions

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: B

Rationale: To find the area that needs weeding, we first calculate the area of the entire circle using the formula A = πr^2. Substituting the radius (11.5 feet) into the formula gives A = 3.14 * 11.5^2 ≈ 415.49 sq ft. Since only half needs weeding, we divide this by 2 to get 207.74 sq ft, which rounds to 207.64 sq ft (Option B). Other choices are incorrect because they either don't consider halving the area or use incorrect calculations.

Correct Answer: D

Rationale: To simplify the expression 3x - 5x + 2, we first combine like terms. 3x - 5x = -2x, so the expression becomes -2x + 2. Thus, the correct answer is D: -2x. Choice A is incorrect as it incorrectly combines the x terms without changing their signs. Choice B is incorrect as it only considers the x terms and ignores the constant term. Choice C is incorrect as it incorrectly combines the x terms without changing their signs.

Correct Answer: A

Rationale: To convert fluid ounces to gallons, we know that 128 fluid ounces = 1 gallon. Therefore, for 1,000 fluid ounces, we divide 1,000 by 128 to get approximately 7.8125 gallons (A). The correct answer is A because it correctly represents the conversion of fluid ounces to gallons. Choices B, C, and D are incorrect because they do not accurately reflect the conversion factor. B is twice the correct answer, C is four times, and D is eight times the correct conversion.

Correct Answer: A

Rationale: To find the result of multiplying fractions, you simply multiply the numerators together and the denominators together. For 3/5 * 5/7: (3*5) / (5*7) = 15 / 35, which simplifies to 3/7. Thus, the correct answer is A: 3/7. Other choices are incorrect because they do not result from the correct multiplication process. B: 1 is the result of multiplying any fraction by its reciprocal, while C: 2 and D: 4 are not valid outcomes of this specific multiplication.