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 ÷ 60 mph = 5 hours; 200 miles at 80 mph = 200 miles ÷ 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 ÷ 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. During REM sleep, which type of brain wave activity is often seen and associated with dreaming?

Correct answer: D

Rationale: Theta waves are the correct answer as they are often seen during REM (rapid eye movement) sleep, the stage of sleep closely related to dreaming. Theta waves have a frequency of 4-7 Hz and are typically present during deep relaxation, meditation, and light sleep stages. Delta waves (choice A) are associated with deep sleep stages, not REM sleep. Alpha waves (choice B) are present during wakefulness and relaxation but not predominantly during REM sleep. Beta waves (choice C) are associated with alertness, problem-solving, and active thinking, not specifically with REM sleep or dreaming.

3. What is the simplified form of the expression (x^2 + 2x)/(x)?

Correct answer: A

Rationale: To simplify the expression (x^2 + 2x)/(x), we factor out x from the numerator to get x(x + 2) and then cancel the x in the denominator. This simplifies to x + 2, making choice A the correct answer. Choice B (x^2 + 2) is incorrect as it does not account for the division by x. Choice C (x(x + 2)) is also incorrect as it represents the factored form before cancellation. Choice D (1 + 2/x) is incorrect as it does not simplify the expression correctly.

4. Which of the following structures is responsible for filtering blood in the kidneys?

Correct answer: B

Rationale: The correct answer is B: Glomerulus. The glomerulus, located in the nephron of the kidney, is a network of tiny blood vessels responsible for filtering blood. It removes waste products and excess substances to form urine. The ureter carries urine from the kidneys to the bladder and is not involved in blood filtration. The nephron is the functional unit of the kidney where blood is filtered and urine is produced. The renal artery supplies blood to the kidneys but is not directly involved in the filtration process.

5. Robert plans to drive 1,800 miles. His car gets 30 miles per gallon, and his tank holds 12 gallons. How many tanks of gas will he need for the trip?

Correct answer: B

Rationale: To calculate how many gallons of gas Robert needs for the 1,800-mile trip, divide the total distance by the car's mileage per gallon: 1,800 miles ÷ 30 mpg = 60 gallons. Since his tank holds 12 gallons, Robert will need 60 gallons ÷ 12 gallons per tank = 5 tanks of gas for the trip. Choice A (4 tanks), Choice C (6 tanks), and Choice D (7 tanks) are incorrect as they do not correctly calculate the number of tanks needed based on the car's mileage and tank capacity.

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