TEAS Exam Math Practice

Correct Answer: A

Rationale: To find the diameter of a circle from its circumference, we use the formula: Diameter = Circumference / π. Given the circumference is 49 feet, we can calculate the diameter by dividing 49 by π (approximately 3.14), resulting in 15.6 feet, which is choice A. Option B, 17.8 feet, is incorrect as it does not match the calculation. Option C, 49 feet, is the circumference, not the diameter. Option D, 153.9 feet, is incorrect as it is not the result of dividing the circumference by π. Therefore, choice A is the correct answer based on the formula for finding the diameter of a circle.

Correct Answer: D

Rationale: To determine the order from least to greatest, we need to evaluate each expression. First, calculate each expression: 2^-1 = 1/2 -(4/3) = -4/3 (-1)^3 = -1 (2/5) = 2/5 Now, compare the values: -4/3 is the smallest, followed by -1, then 2/5, and finally 1/2. Therefore, the correct order is -(4/3), (-1)^3, (2/5), 2^-1. Option D correctly lists the expressions in this order. Option A is incorrect because it has the wrong order of the expressions. Option B is incorrect as it has a different order compared to the correct one. Option C is incorrect as it also has a different order than the correct one.

Correct Answer: D

Rationale: To solve the equation (5/4)x = 20, we first multiply both sides by 4/5 to isolate x. So, x = 20 * 4/5 = 16. Therefore, the correct answer is D. Option A, 8, is incorrect because x is not equal to 8. Option B, 24, and option C, 32, are also incorrect as they do not satisfy the given equation.

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: A

Rationale: To find the diameter of a circle from its circumference, we use the formula: Diameter = Circumference / π. Given the circumference is 49 feet, we can calculate the diameter by dividing 49 by π (approximately 3.14), resulting in 15.6 feet, which is choice A. Option B, 17.8 feet, is incorrect as it does not match the calculation. Option C, 49 feet, is the circumference, not the diameter. Option D, 153.9 feet, is incorrect as it is not the result of dividing the circumference by π. Therefore, choice A is the correct answer based on the formula for finding the diameter of a circle.