TEAS Math Questions

Correct Answer: B

Rationale: To calculate the probability of consecutively pulling 2 orange blocks without replacement, we first find the probability of pulling 1 orange block, then the probability of pulling another orange block. 1. Probability of first orange block = 3/12 = 1/4 2. After removing 1 orange block, there are 2 orange blocks left out of 11 total blocks. 3. Probability of second orange block = 2/11 4. Multiply the probabilities: (1/4) * (2/11) = 2/44 = 1/22 5. Simplify the fraction: 1/22 = 2/44 = 3/66 = 3/55 Therefore, the correct answer is B (3/55) as it represents the probability of consecutively pulling two more orange blocks without replacement. Other choices are incorrect as they do not follow the correct calculation steps.

Correct Answer: B

Rationale: To solve the equation x + x * x - x / x, we follow the order of operations (PEMDAS/BODMAS). First, we calculate x * x = x^2, then x / x = 1. So the equation becomes x + x^2 - 1. Simplifying further, we get x^2 + x - 1. This is a quadratic equation. To find the value of x that satisfies this equation, we can factor it or use the quadratic formula. The correct answer is B: 3, as x = 3 satisfies the equation x^2 + x - 1 = 3^2 + 3 - 1 = 9 + 3 - 1 = 11, which matches the left side of the equation. Summary: A: 5 - Incorrect. The value of x that satisfies the equation is not 5. C: 2 - Incorrect. The value of x that satisfies the equation is

Correct Answer: B

Rationale: Step-by-step rationale: 1. Start with the original price: $100 2. Calculate the discount amount: 15% of $100 = $15 3. Subtract the discount from the original price: $100 - $15 = $85 4. Therefore, the price after the 15% discount is $85. Summary of incorrect choices: A. $90: Incorrect, as this is the original price minus a 10% discount. C. $80: Incorrect, as this is the original price minus a 20% discount. D. $75: Incorrect, as this is not the correct calculation for a 15% discount.

Correct Answer: A

Rationale: To find the perimeter of a rectangle, you add all four sides. Given the width is 4 inches, and the length is 3 times the width (12 inches), the perimeter would be 2(4 + 12) = 2(16) = 32 inches. Therefore, the correct answer is A (28 inches). The other choices are incorrect because they do not match the calculated perimeter based on the given dimensions of the rectangle.

Correct Answer: C

Rationale: To determine the number of male patients NOT overweight as children, calculate the total number of male patients: 30% of 100 patients = 30 male patients. Then, find the number of overweight male patients: 10% of 30 male patients = 3 overweight males. Subtract the overweight males from the total male patients to get the number of male patients NOT overweight: 30 - 3 = 27. Therefore, the correct answer is C (27). Choice A (3) is incorrect because it represents the number of overweight male patients, not the number of male patients NOT overweight. Choice B (10) is incorrect as it does not consider the calculation of overweight male patients and total male patients. Choice D (30) is incorrect as it represents the total number of male patients, not the number of male patients NOT overweight.