TEAS Math Questions

Correct Answer: C

Rationale: To determine which group is the smallest, we need to compare the fractions representing the proportion of patients in each group. Group Alpha has 1/2, Group Beta has 1/3, and Group Gamma has 1/6 of the total patients. To find the smallest group, we look for the smallest fraction. Among the choices, 1/6 in Group Gamma is the smallest fraction, hence Group Gamma is the smallest group. Incorrect choices: A: Group Alpha - 1/2 is larger than 1/3 and 1/6, making it larger than Group Beta and Group Gamma. B: Group Beta - 1/3 is larger than 1/6 but smaller than 1/2, making it larger than Group Gamma. D: Group Delta - This is not a valid choice in the question, so it is incorrect.

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: A

Rationale: To find the total height of the stacked boxes, we simply add the heights of the two boxes together. So, 4 inches (height of the first box) + 6 inches (height of the second box) = 10 inches. Therefore, the correct answer is A: 10 inches. Explanation of other choices: B: 12 inches - Incorrect because adding the heights of 4 inches and 6 inches does not equal 12 inches. C: 8 inches - Incorrect as the total height of the stacked boxes is not 8 inches. D: 9 inches - Incorrect because adding 4 inches and 6 inches does not result in 9 inches.

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.