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: C

Rationale: To calculate the total time, first find the time for the first segment: 305 miles / 65 mph = 4.69 hours. Then, add the 15-minute stop: 15 minutes / 60 = 0.25 hours. Next, find the time for the second segment: 162 miles / 80 mph = 2.025 hours. Add up all the times: 4.69 + 0.25 + 2.025 = 6.965 hours. Since this is closest to 6.69 hours (choice C), that is the correct answer. Choices A, B, and D are incorrect because they do not accurately represent the total time elapsed since the trip began.

Correct Answer: A

Rationale: Step 1: Given that y is three times x, the equation should reflect this relationship. Step 2: The equation y = 3x correctly models this relationship, where y is equal to three times x. Step 3: Option A (y = 3x) is the correct choice as it directly represents y as three times x. Summary: Choices B, C, and D do not correctly model the relationship between x and y as specified. Choice B (x = 3y) is the inverse relationship, Choice C (y = x + 3) adds 3 to x instead of representing y as three times x, and Choice D (y = x / 3) represents y as x divided by 3, not three times x.

Correct Answer: A

Rationale: The correct answer is A: 3 hours. Since the car travels 60 miles in 1 hour, its speed is 60 miles per hour. To travel 180 miles at the same speed, it will take 180 miles / 60 miles per hour = 3 hours. Choice B, C, and D are incorrect because they do not accurately calculate the time required based on the given speed of the car. Choice B is too high, choice C is too low, and choice D is also too high.

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.