TEAS Test Math Prep

Correct Answer: A

Rationale: To solve the equation 3(x - 5) = 2(x + 3) for x: 1. Distribute: 3x - 15 = 2x + 6 2. Combine like terms: 3x - 2x = 6 + 15 3. Simplify: x = 21 Thus, x = 21. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not satisfy the equation.

Correct Answer: B

Rationale: To calculate average speed, you divide the total distance by the total time. In this case, 150 miles divided by 3 hours equals 50 mph. Therefore, choice B is correct. Choice A is incorrect as it is too low. Choice C and D are incorrect as they are too high.

Correct Answer: A

Rationale: To convert feet to kilometers, we need to know that 1 kilometer is approximately 3280.84 feet. So, to find out how many kilometers 4382 feet is, we divide 4382 by 3280.84, which equals approximately 1.336 kilometers. Therefore, the correct answer is A: 1.336 kilometers. Choice B: 14.376 kilometers is incorrect as it is too high. Choice C: 1.437 kilometers is incorrect as it is a close but slightly higher value. Choice D: 13.336 kilometers is incorrect as it is much higher than the actual value.

Correct Answer: C

Rationale: To find the circumference of a circle, we use the formula C = 2πr, where r is the radius. Given r = 3 inches, C = 2π(3) ≈ 18.85 inches. The closest estimate is C: 18 inches. Choice A is too small, B is slightly closer but still underestimated, and D is too large. Therefore, C is the best estimate based on the calculated circumference using the given radius.

Correct Answer: B

Rationale: To find the overall median, we first arrange the scores in ascending order: 78, 83, 92, 97. The median is the middle value, which is 92 in this case. Therefore, the correct answer is B. Choice A is incorrect as it is not a score in the list. Choice C is incorrect as it is the median of the list, not the overall median. Choice D is incorrect as it is the average of all scores, not the median.