TEAS Test Math Questions

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: C

Rationale: Failed to generate a rationale after 5 retries.

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.

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 because in multiplication and division, the product of the quotient and the divisor is indeed the dividend. To understand this, consider a division problem like 12 ÷ 3 = 4. Here, 4 (quotient) multiplied by 3 (divisor) equals 12 (dividend). Therefore, the product of the quotient and the divisor equals the dividend. Choice A is incorrect as it doesn't align with the relationship between quotient, dividend, and divisor in division. Choice B is incorrect as it reverses the relationship between dividend and divisor in multiplication. Choice D is incorrect as there is a correct statement among the choices.