TEAS Exam Math Practice

Correct Answer: C

Rationale: To find the perimeter of the square, we first need to find the side length. Since the area of a square is side length squared (5625 = side length x side length), the side length is √5625 = 75 feet. The perimeter of a square is 4 times the side length, so 4 x 75 = 300 feet. Therefore, Melissa needs 300 feet of fencing. Summary: A) 75 feet - Incorrect. This is the side length, not the perimeter. B) 150 feet - Incorrect. This is half the perimeter. C) 300 feet - Correct. The perimeter of the square. D) 5,625 feet - Incorrect. This is the total area, not the perimeter.

Correct Answer: A

Rationale: To find the width of the field, we need to set up the equation for the area of a rectangle: Area = length x width. Given that the area is 1452 square feet, and the length is three times the width, we can write the equation as 1452 = 3x * x. Solving for x (width), x = 18 feet. Therefore, the correct answer is A: 22 feet. Option B, 44 feet, is incorrect as it is double the correct width. Option C, 242 feet, is incorrect as it does not match the calculated width. Option D, 1452 feet, is incorrect as it represents the total area of the field, not the width.

Correct Answer: B

Rationale: To simplify the expression, we follow the order of operations (PEMDAS). First, we calculate the exponents: 52(3) + 3(-2)^2 / 4 + 9 - 2(5-8) = 156 + 3(4) / 4 + 9 - 2(3) = 156 + 12 / 4 + 9 - 6. Then, we perform division and multiplication from left to right: 156 + 3 + 9 - 6 = 168. Therefore, the correct answer is 87/19. Choices A, C, and D are incorrect as they do not correctly simplify the expression following the order of operations.

Correct Answer: C

Rationale: To round 2.7834 to the nearest tenth, we look at the digit in the hundredths place, which is 8. Since 8 is 5 or greater, we round up the tenths place digit by 1. Therefore, 2.7834 rounded to the nearest tenth is 2.8 (Choice C). Choice A (2.7) is incorrect because rounding down would be incorrect based on the given number. Choice B (2.78) is incorrect because rounding to the nearest tenth requires looking at the hundredths place. Choice D (2.88) is incorrect as it doesn't follow the rounding rules for the nearest tenth.

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.