ATI TEAS 7
Mathematics
1. The order of operations (PEMDAS) dictates the sequence for evaluating mathematical expressions. If a = 2 and b = -3, what is the value of 3a^2 - 2ab + b^2?
- A. -3
- B. 0
- C. 33
- D. 15
Correct answer: C
Rationale: Following PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right), we start with exponents: 3(2^2) - 2ab + b^2. Then, multiply: 3(4) - 2ab + b^2. Next, perform the multiplication/division from left to right: 12 - 2ab + b^2. Finally, add/subtract from left to right: 12 + (-2)(2)(-3) + (-3)^2. Evaluate the remaining terms: 12 + 12 + 9. The answer is 33.
2. Aromatic compounds
- A. Contain a ring structure with alternating single and double bonds
- B. Readily undergo addition reactions
- C. Are easily broken down by water
- D. Do not contain any pi (Ï€) bonds
Correct answer: A
Rationale: The correct answer is A: 'Aromatic compounds contain a ring structure with alternating single and double bonds.' Aromatic compounds exhibit a special stability due to the delocalization of pi electrons within the ring, known as resonance. This resonance occurs because of the alternating single and double bonds in the ring structure, making them less reactive towards addition reactions compared to alkenes, which have only double bonds. This stability also makes aromatic compounds less likely to be easily broken down by water, as they are relatively inert in many chemical reactions. Therefore, aromatic compounds do contain pi (π) bonds due to the presence of the alternating single and double bonds in their ring structure.
3. What is the scientific term for inflammation of the bronchi, often associated with a cough and mucus production?
- A. Pneumonia
- B. Bronchitis
- C. Emphysema
- D. Pleurisy
Correct answer: B
Rationale: The correct answer is B: Bronchitis. Bronchitis is the scientific term for inflammation of the bronchi, which are the air passages in the lungs. This condition is often characterized by a cough, mucus production, and difficulty breathing. Pneumonia (A) is an infection that causes inflammation in the air sacs in the lungs, not the bronchi. Emphysema (C) is a chronic lung condition that results in the damage of the air sacs in the lungs, leading to difficulty breathing. Pleurisy (D) is inflammation of the pleura, the lining around the lungs, and is not directly related to inflammation of the bronchi. Therefore, option B is the correct answer in this case.
4. An IV bag contains 500ml of saline solution and needs to be infused over 4 hours. What is the flow rate in drops per minute, assuming 20 drops per milliliter?
- A. 12.5 drops/min
- B. 25 drops/min
- C. 50 drops/min
- D. 100 drops/min
Correct answer: C
Rationale: Calculate the total volume in drops (500ml * 20 drops/ml = 10,000 drops). Divide this by the infusion time in minutes (4 hours * 60 minutes/hour = 240 minutes) to get the flow rate.
5. How does polarization affect the intensity of light passing through a polarizing filter?
- A. All light passes through regardless of polarization.
- B. Light with the same polarization as the filter passes through, while others are blocked
- C. Light with higher intensity passes through, while weaker light is blocked.
- D. The intensity is reduced for all light, regardless of polarization.
Correct answer: B
Rationale: A polarizing filter only allows light waves with a specific polarization direction to pass through, reducing the intensity of waves with different orientations.
6. Based on the information provided, which statement is LEAST likely to be supported by the author?
- A. Energy storage technologies play a critical role in the future of renewable energy utilization.
- B. Smart grids can improve the reliability and efficiency of the electricity grid.
- C. Continued reliance on fossil fuels hinders long-term climate change mitigation goals.
- D. Technological advancements offer solutions to overcome challenges associated with renewable energy.
Correct answer: B
Rationale: While the passage mentions smart grids, its primary focus is on managing the intermittency of renewable energy, making B the least likely statement the author would strongly support.
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