a rectangular field has an area of 1452 square feet if the length is three times the width which of the following is the width of the field
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ATI TEAS 7

TEAS Exam Math Practice

1. A rectangular field has an area of 1452 square feet. If the length is three times the width, what is the width of the field?

Correct answer: A

Rationale: To find the width of the rectangular field, use the formula for the area of a rectangle: A = length × width. Given that the length is three times the width, you have A = 3w × w. Substituting the given area, 1452 = 3w^2. Solving for w, you get 484 = w^2. Taking the square root gives ±22, but since the width must be positive, the width of the field is 22 feet. Choice B, 44 feet, is incorrect because it represents the length, not the width. Choice C, 242 feet, is incorrect as it is not a factor of the area. Choice D, 1452 feet, is incorrect as it represents the total area of the field, not the width.

2. Which type of reaction builds larger and more complex molecules from smaller ones, requiring energy?

Correct answer: B

Rationale: The correct answer is 'Anabolic reaction.' Anabolic reactions involve the synthesis of larger and more complex molecules from smaller ones, requiring an input of energy, often in the form of ATP. These reactions are essential for processes like growth, repair, and the building of cellular structures. Catabolic reactions, on the other hand, break down larger molecules into smaller ones, releasing energy. Exothermic reactions release heat, while hydrolytic reactions involve the breakdown of molecules with the addition of water. Therefore, choices A, C, and D are incorrect as they do not describe the process of building larger and more complex molecules from smaller ones with the requirement of energy.

3. What is the role of the pancreas in digestion?

Correct answer: B

Rationale: The correct answer is B: 'To secrete digestive enzymes.' The pancreas plays a crucial role in digestion by secreting digestive enzymes that break down carbohydrates, proteins, and fats. This process aids in the breakdown of food into nutrients that can be absorbed by the small intestine. Choices A, C, and D are incorrect because the pancreas is not responsible for secreting bile (liver and gallbladder function), absorbing nutrients (small intestine function), or transporting waste (colon function) in the digestive system.

4. What is the acceleration of an object moving at a constant speed of 20 m/s if it comes to a complete stop within 5 seconds?

Correct answer: C

Rationale: To find the acceleration, we use the formula: acceleration = (final velocity - initial velocity) / time. Given that the final velocity is 0 m/s (as the object stops), the initial velocity is 20 m/s, and the time taken is 5 seconds. Substituting these values into the formula, we get acceleration = (0 m/s - 20 m/s) / 5 s = -20 m/s / 5 s = -4 m/s². Therefore, the acceleration is -4 m/s², indicating that the object decelerated at a rate of 4 m/s² to come to a complete stop. Choice A is incorrect because the object does experience acceleration as it changes its speed from 20 m/s to 0 m/s. Choice B is incorrect as it represents acceleration in the wrong direction, considering the object is decelerating. Choice D is incorrect as there is sufficient information provided to calculate the acceleration based on the given data.

5. Why does the author repeat the phrase 'I had a dream' throughout the text?

Correct answer: A

Rationale: The repetition of 'I had a dream' in the text serves to emphasize the speaker's excitement and vision. By repeating this phrase, the author highlights the importance and impact of the dream, reinforcing the central theme of hope and aspiration. Choices B, C, and D are incorrect because the primary purpose of the repetition is not persuasion, demonstration of authority, or creating a rhythmic effect, but rather to underscore the speaker's emotions and aspirations.

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