TEAS Math Questions

Correct Answer: C

Rationale: The correct answer is C: 6 hours. To calculate the total time taken, we first find the time taken for the first leg of the journey: 300 miles at 60 mph = 300/60 = 5 hours. Then, for the second leg: 200 miles at 80 mph = 200/80 = 2.5 hours. Adding these two times gives us 5 + 2.5 = 7.5 hours. Since there was a 30-minute break during the trip, we subtract this break time from the total, giving us 7.5 - 0.5 = 7 hours. Therefore, the correct answer is 6 hours. Choice A (5.5 hours) is incorrect because it does not account for the break time. Choice B (7 hours) is incorrect because it does not consider the total time with the break. Choice D (4.5 hours) is incorrect as it does not accurately calculate the total time

Correct Answer: B

Rationale: To calculate the number of people who voted, we multiply the population by the percentage who voted: 51,623 * 0.095 = 4,904.785. Since we can't have a fraction of a person, we round to the nearest whole number, which is 5,000. Explanation: A: 3,000 is too low as it doesn't account for the entire 9.5%. B: Correct. 5,000 is the closest estimate after rounding. C: 7,000 is too high as it overestimates the number of voters. D: 10,000 is too high and doesn't align with the calculated value.

Correct Answer: C

Rationale: To find the number of students who will complete the nursing program: 1. Out of 100 students, 3/4 major in nursing = 75 students. 2. Only 1/3 of those who major in nursing complete the program: (1/3) * 75 = 25 students. Therefore, the correct answer is C (25 students) because only a third of the 75 nursing majors, which is 25 students, will complete the nursing program. Choice A (75) is incorrect because it represents the total number of students majoring in nursing, not completing the program. Choice B (20) and Choice D (5) are incorrect as they do not consider the proportions given in the question and do not calculate the number of students completing the program accurately.

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.

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