TEAS Math Questions

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 find the number of students who will complete the program: 1. 3/4 of students major in nursing, so 3/4 * 100 = 75 students major in nursing. 2. 1/3 of nursing students complete the program, so 1/3 * 75 = 25 students will complete the program. Therefore, if 100 students are in the incoming class, 25 students will complete the program. Choice C (15) is incorrect because it does not align with the calculations. Choices A (75), B (20), and D (5) are also incorrect as they do not accurately reflect the number of students who will complete the program based on the given information.

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: 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: C

Rationale: The correct order is C: Group Gamma, Group Alpha, Group Beta. Step-by-step rationale: First, calculate the fraction of patients in each group: 1/2 for Alpha, 1/3 for Beta, and 1/6 for Gamma. Next, convert the fractions to a common denominator: 6. This gives 3 patients in Alpha, 2 in Beta, and 1 in Gamma. Therefore, the correct order is Group Gamma (1 patient) < Group Alpha (3 patients) < Group Beta (2 patients). Other choices are incorrect because they do not follow the correct order based on the fraction of patients assigned to each group.