Practice Math TEAS TEST

Correct Answer: A

Rationale: To find the length of the unknown leg, we can use the Pythagorean theorem: a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse of a right triangle. Given a = 9 feet and c = 19 feet, we can solve for b: 9^2 + b^2 = 19^2 81 + b^2 = 361 b^2 = 280 b ≈ √280 ≈ 16.7 feet Therefore, the correct answer is A (16.7 feet). Choice B (16.0 feet) is incorrect as it does not account for rounding to the nearest tenth. Choice C (17.4 feet) and choice D (8.4 feet) are incorrect as they do not match the calculated value.

Correct Answer: B

Rationale: To find the median, first, sort the data set in ascending order: -3, -2, 0, 5, 10. The middle value is the median, which is 0 in this case. This is the correct answer (B). The other choices are incorrect because: A: 10 is the highest value, not the middle value. C: 5 is not the middle value when the data set is arranged in ascending order. D: 2 is not present in the data set, making it an invalid choice.

Correct Answer: B

Rationale: To solve the equation 3(2x+5)=11x+5 for x, first distribute the 3 on the left side to get 6x+15=11x+5. Next, move all terms with x to one side by subtracting 6x from both sides to get 15=5x+5. Then, subtract 5 from both sides to get 10=5x. Finally, divide by 5 to solve for x, giving x=2. Therefore, the correct answer is B. Choice A is incorrect because x is not equal to 1. Choice C is incorrect because x is not equal to -1. Choice D is incorrect because x is not equal to -2.

Correct Answer: A

Rationale: To solve for x in the equation (x/y) - z = rw, we first isolate x by multiplying both sides by y to get x - yz = rwy. Then, we add yz to both sides to get x = rwy + yz, which simplifies to x = y(rw + z). Therefore, the correct answer is A: x = y(z + rw). Choice B is incorrect as it incorrectly distributes the y term. Choice C is incorrect as it incorrectly combines the terms. Choice D is incorrect as it incorrectly subtracts z instead of adding it.

Correct Answer: A

Rationale: The correct answer is A because to find the least common multiple (LCM) of two numbers, you need to list all the multiples of each number and then identify the smallest common multiple. This method ensures that you consider all possible common multiples and select the smallest one. Explanation for other choices: B: Listing factors and finding the largest common factor would result in the greatest common divisor, not the least common multiple. C: Dividing the largest number by the smallest does not give the LCM; it may give a different value altogether. D: Multiplying the two numbers together gives the product of the numbers, not the LCM.