ATI TEAS 7
Mathematics
1. Relatively prime numbers share no common factors other than 1. Which of the following pairs of numbers are relatively prime?
- A. 12 and 16
- B. 15 and 17
- C. 20 and 24
- D. 28 and 36
Correct answer: B
Rationale: Rationale: - Relatively prime numbers are numbers that share no common factors other than 1. - To determine if two numbers are relatively prime, we need to find the greatest common divisor (GCD) of the two numbers. If the GCD is 1, then the numbers are relatively prime. - Let's calculate the GCD for each pair of numbers: A) GCD(12, 16) = 4, not relatively prime B) GCD(15, 17) = 1, relatively prime C) GCD(20, 24) = 4, not relatively prime D) GCD(28, 36) = 4, not relatively prime Therefore, the pair of numbers 15 and 17 are relatively prime because their greatest common divisor is 1, meaning they share no common factors other than 1.
2. Which of the following is an example of a decomposition reaction?
- A. 2H2 + O2 → 2H2O
- B. CaCO3 → CaO + CO2
- C. 2Na + Cl2 → 2NaCl
- D. N2 + 3H2 → 2NH3
Correct answer: b
Rationale: Decomposition reactions involve the breakdown of a compound into simpler substances.
3. How does lymph move through the lymphatic vessels?
- A. By the pumping action of the heart
- B. Due to muscle contractions and breathing movements
- C. Through one-way valves within the vessels
- D. All of the above
Correct answer: D
Rationale: The correct answer is D: "All of the above." Lymph, a clear fluid that carries immune cells and waste products, moves through the lymphatic vessels by multiple mechanisms. While the pumping action of the heart plays a minor role, the primary driving forces are muscle contractions and breathing movements that squeeze the vessels. Additionally, lymphatic vessels contain one-way valves that prevent the backward flow of lymph, ensuring that it moves in the right direction. Therefore, all of the options provided contribute to the movement of lymph through the lymphatic system.
4. Which of the following is the smallest unit of matter?
- A. Molecule
- B. Atom
- C. Compound
- D. Element
Correct answer: B
Rationale: An atom is the fundamental building block of matter, while molecules are formed by the combination of atoms.
5. The van't Hoff factor (i) accounts for the number of particles a solute dissociates into in solution. For a compound that dissociates completely in water, i would be...
- A. 0
- B. Less than 1
- C. 1
- D. More than 1
Correct answer: C
Rationale: The van't Hoff factor (i) is used to account for the number of particles a solute dissociates into in solution. For a compound that dissociates completely in water, such as a strong electrolyte, i would be equal to the total number of ions produced by the dissociation. Since the compound dissociates completely, it forms an equal number of ions, resulting in an i value of 1. Therefore, the correct answer is C: 1.
6. The "fight-or-flight" response is triggered by the hormone released from the:
- A. Thyroid gland
- B. Adrenal glands
- C. Pituitary gland
- D. Pancreas
Correct answer: B
Rationale: The correct answer is B: Adrenal glands. The "fight-or-flight" response is a physiological reaction that occurs in response to a perceived threat or danger. When this response is triggered, the adrenal glands release adrenaline, also known as epinephrine, into the bloodstream. This hormone prepares the body for action by increasing heart rate, dilating airways, and redirecting blood flow to essential organs. The thyroid gland (option A) primarily regulates metabolism, the pituitary gland (option C) controls many other hormone glands, and the pancreas (option D) is responsible for regulating blood sugar levels through the production of insulin and glucagon, but they are not directly involved in the fight-or-flight response.
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