a person drives 300 miles at 60 mph then another 200 miles at 80 mph with a 30 minute break how long does the trip take
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ATI TEAS 7

TEAS Math Questions

1. A person drives 300 miles at 60 mph, then another 200 miles at 80 mph, with a 30-minute break. How long does the trip take?

Correct answer: C

Rationale: To find the total time, we calculate the time taken for each segment: 300 miles at 60 mph = 300 miles รท 60 mph = 5 hours; 200 miles at 80 mph = 200 miles รท 80 mph = 2.5 hours. Adding these gives 5 hours + 2.5 hours = 7.5 hours. Converting the 30-minute break to hours (30 minutes รท 60 = 0.5 hours), the total time taken is 7.5 hours + 0.5 hours = 8 hours. Therefore, the correct answer is not among the given choices. The rationale provided in the original question is incorrect as it does not account for the break time and has a calculation error in adding the individual times.

2. Lauren must travel a distance of 1,480 miles to get to her destination. She plans to drive approximately the same number of miles per day for 5 days. Which of the following is a reasonable estimate of the number of miles she will drive per day?

Correct answer: C

Rationale: To estimate the number of miles Lauren will drive per day, the total distance can be rounded to 1,500 miles. Divide this by the number of days she plans to drive, which is 5. 1,500 miles / 5 days = 300 miles per day. Therefore, a reasonable estimate for the number of miles she will drive per day is 300. Choice A (240 miles) is too low, Choice B (260 miles) is slightly low, and Choice D (340 miles) is too high when considering the total distance and the number of days Lauren plans to drive.

3. What is the range in the number of flights made per month by the flight attendant?

Correct answer: C

Rationale: The range is calculated by finding the difference between the highest and lowest values. In this case, the highest number of flights made per month is 32, and the lowest is 3. Therefore, the range is 32 - 3 = 29. Choice C, '29', is the correct answer. Choice A, '20', Choice B, '25', and Choice D, '32', are incorrect as they are individual data points and do not represent the range, which is a measure of spread between the highest and lowest values.

4. Simplify the expression: 2x + 3x - 5.

Correct answer: A

Rationale: To simplify the expression 2๐‘ฅ + 3๐‘ฅ - 5, follow these steps: Identify and combine like terms. The terms 2๐‘ฅ and 3๐‘ฅ are both 'like terms' because they both contain the variable ๐‘ฅ. Add the coefficients of the like terms: 2๐‘ฅ + 3๐‘ฅ = 5๐‘ฅ. Simplify the expression. After combining the like terms, the expression becomes 5๐‘ฅ - 5, which includes the simplified term 5๐‘ฅ and the constant -5. Thus, the fully simplified expression is 5๐‘ฅ - 5, making Option A the correct answer. This method ensures all terms are correctly simplified by combining similar elements and retaining constants.

5. Simplify the following expression: (1/4) ร— (3/5) รท 1 (1/8)

Correct answer: C

Rationale: First, convert the mixed number 1 (1/8) into an improper fraction: 1 (1/8) = 9/8. Now, simplify the expression: (1/4) ร— (3/5) รท (9/8). To divide by a fraction, multiply by its reciprocal: (1/4) ร— (3/5) ร— (8/9) = 24/180 = 2/15. Thus, the simplified expression is 2/15. Choice A (8/15) is incorrect because the correct answer is 2/15. Choice B (27/160) is incorrect as it is not the result of the given expression. Choice D (27/40) is incorrect as it does not match the simplified expression obtained.

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