TEAS Math Questions

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: 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: 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: 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: 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.