TEAS Exam Math Practice

Correct Answer: D

Rationale: Failed to generate a rationale after 5 retries.

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: C

Rationale: To find the number of hosts, we first need to determine the total number of parts in the ratio, which is 9 + 2 + 1 = 12 parts. Then, for hosts, we calculate (2/12) * 36 = 6 hosts. Therefore, the correct answer is C. Choice A (3) is incorrect because it does not properly reflect the ratio provided. Choice B (4) is incorrect as well because it does not align with the ratio. Choice D (8) is incorrect because it exceeds the total number of employees in the restaurant.