TEAS Test Math Questions

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: B

Rationale: To find the sum of 4 + 5 + 12 + 9, we add each number sequentially: 4 + 5 = 9 9 + 12 = 21 21 + 9 = 30 Therefore, the correct answer is B: 30. Option A (20), C (40), and D (50) are incorrect as they do not accurately reflect the sum of the given numbers.

Correct Answer: D

Rationale: To determine the correct answer, we need to find the value of x in each proportion. For choice A, x = 4; for choice B, x = 8; for choice C, x = 6; and for choice D, x = 10. So, the correct answer is D because it yields a different value for x compared to the other choices. Choices A, B, and C all have x values that are multiples of 2, whereas choice D has a different x value. Therefore, choice D is the only proportion that yields a different number for the unknown compared to the others.

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 find the total pounds of apples Eric buys, we multiply the pounds he buys each week (5 1/2) by the number of weeks (4). 5 1/2 * 4 = 22 pounds. Thus, the correct answer is A (22 pounds). Other choices are incorrect because they do not correctly calculate the total pounds based on the given information. B, C, and D are not the correct results of multiplying 5 1/2 by 4.