TEAS Test Math Questions

Correct Answer: D

Rationale: To find the area of a square, you square the length of one side. In this case, the side length is 75 cm. Therefore, the area is 75 cm x 75 cm = 5,625 square cm. Option D is correct. Option A (150) is too small as it represents the perimeter of the square. Option B (300) is incorrect as it is half the correct area. Option C (5,325) is incorrect as it is much larger than the correct area.

Correct Answer: C

Rationale: To solve 3x + 2 = 20, first subtract 2 from both sides to isolate 3x. This gives 3x = 18. Then divide by 3 to solve for x, yielding x = 6. Choice C is correct because 3(6) + 2 equals 20. Choices A, B, and D are incorrect because they do not satisfy the original equation when substituted back in.

Correct Answer: A

Rationale: To calculate how many times larger the first cell is compared to the second, we divide the diameter of the first cell by the diameter of the second cell: 0.1 / 0.05 = 2. Therefore, the correct answer is A: 2. Option B, C, and D are incorrect because they do not accurately represent the ratio between the two cell sizes based on the given diameters.

Correct Answer: B

Rationale: To find the area that needs weeding, we first need to calculate the total area of the circular garden using the formula A = πr^2. Given the radius is 11.5 feet, the total area is A = 3.14 x (11.5)^2 = 415.27 square feet. Since only half needs weeding, we divide this total area by 2 to get the area that needs weeding: 415.27 / 2 = 207.64 square feet. Therefore, the correct answer is B: 415.27, as it represents the total area of the garden, and the other choices are incorrect as they do not correctly calculate the area that needs weeding.

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.