four friends are sharing a pizza one friend eats half of the pizza the other three friends equally divide the rest among themselves what portion of th
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ATI TEAS 7

Practice Math TEAS TEST

1. Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?

Correct answer: D

Rationale: After one friend eats half of the pizza, there is half left. This remaining half is divided equally among three friends. To find the portion each of the other three friends receives, we divide 1/2 by 3, which equals 1/6. Therefore, each of the other three friends receives 1/6 of the pizza. Choice A, 1/5, is incorrect because the correct portion is 1/6. Choice B, 1/3, is incorrect as each of the three friends receives 1/6. Choice C, 1/4, is incorrect as well since the correct portion is 1/6.

2. Which part of the brain is responsible for coordinating various sensory inputs, regulating sleep, and maintaining wakefulness?

Correct answer: D

Rationale: The reticular formation is a network of neurons located in the brainstem that plays a crucial role in regulating sleep-wake cycles, coordinating various sensory inputs, and maintaining wakefulness. It acts as a filter for incoming sensory information and helps in directing attention to important stimuli. The other options, the cerebrum, hypothalamus, and medulla oblongata, are important structures in the brain but are not primarily responsible for the specific functions mentioned in the question. The cerebrum is mainly involved in higher brain functions such as thinking and voluntary movements. The hypothalamus is responsible for regulating body temperature, hunger, and thirst, among other functions. The medulla oblongata is essential for controlling vital autonomic functions like breathing and heart rate.

3. Identify the independent clause in the following sentence: 'While the chef prepared dinner, the guests chatted and enjoyed the music.'

Correct answer: B

Rationale: The correct answer is 'B' - 'the guests chatted and enjoyed the music.' An independent clause expresses a complete thought and can stand alone as a sentence. It typically includes a subject and a verb and does not rely on another clause to form a complete sentence. In this sentence, 'the guests chatted and enjoyed the music' fits this criteria, making it the independent clause. Choices A and C are incorrect as they are dependent clauses, starting with a subordinating conjunction 'While,' which shows they cannot stand alone as complete sentences. Choice D is also incorrect as it lacks the word 'the' before 'enjoyed,' making it grammatically incomplete.

4. When is work done by a force on an object?

Correct answer: A

Rationale: Work is done by a force on an object when the object moves in the direction of the force. This is because work is defined as the product of the force applied to an object and the distance over which the force is applied. When the object moves in the direction of the force, the force contributes to the displacement of the object, resulting in work being done. If the object moves perpendicular to the force, no work is done because the force does not contribute to the displacement. Moving against the force also results in work being done as the force is causing the displacement. The vertical movement of the object does not determine whether work is done; it is the alignment of the force with the object's displacement that matters. The duration of force application does not impact whether work is done; as long as the force causes the object to move in its direction, work is being done.

5. Which part of the brainstem is responsible for controlling vital functions such as heart rate, blood pressure, and breathing?

Correct answer: A

Rationale: The medulla oblongata is the correct answer. It is responsible for controlling vital functions such as heart rate, blood pressure, and breathing. This part of the brainstem contains centers that regulate these essential autonomic functions to maintain homeostasis in the body. The pons and midbrain are also parts of the brainstem, but they are not primarily responsible for controlling these vital functions. The cerebellum, on the other hand, is involved in coordination and balance, not in regulating vital functions like heart rate, blood pressure, and breathing.

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