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: D

Rationale: The correct answer is D: (7, 8). To find the fourth vertex of the parallelogram, we can use the property that opposite sides of a parallelogram are parallel and equal in length. By calculating the vector between the points (1, 2) and (3, 4) as (2, 2), we can extend this vector from the point (5, 6) to find the fourth vertex at (5 + 2, 6 + 2) = (7, 8). Option A is incorrect as it does not satisfy the parallelogram property. Option B does not maintain the same distance between points. Option C does not form a parallelogram with the given points.

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: 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: C

Rationale: The correct answer is C: Zero. When two numbers are equal, their difference is always zero. This is because the distance between two equal numbers on the number line is zero. Any other choice is incorrect because a negative or positive difference implies inequality, which contradicts the premise that the numbers are equal. Choice D is also incorrect as there is sufficient information to determine the difference between two equal numbers.