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Nursing Elites

ATI TEAS 7

Mathematics

1. A decorative globe has a diameter of 25cm. What is its total surface area?

Correct answer: B

Rationale: Use the formula for surface area of a sphere: 4 * π * (radius)^2, where radius is half the diameter. Calculate the radius (12.5cm) and substitute: 4 * π * (12.5cm)^2 ≈ 1963 sq cm.

2. How is the density of a substance calculated?

Correct answer: A

Rationale: Density is the mass per unit volume of a substance.

3. Which molecule allows for the selective passage of materials into and out of the cell?

Correct answer: D

Rationale: The correct answer is D, the phospholipid bilayer. The phospholipid bilayer is the main component of the cell membrane, which acts as a selective barrier allowing certain molecules to pass through while blocking others. Its structure consists of hydrophilic heads facing outward towards the aqueous environments inside and outside the cell, while the hydrophobic tails face inward creating a semi-permeable barrier. DNA (A) is the genetic material of the cell and is located within the nucleus, not involved in material passage. Proteins (B) and carbohydrates (C) are important components of the cell membrane and play various roles, but they do not directly control the selective passage of materials in and out of the cell.

4. A patient needs to take 2 tablets for every 30 pounds of body weight. If they weigh 150 pounds, how many tablets should they take?

Correct answer: A

Rationale: Divide the patient's weight (150 pounds) by the ratio denominator (30 pounds/tablet) to get 5 tablets.

5. In the reaction 2H2 + O2 → 2H2O, how many moles of oxygen are required to react completely with 4 moles of hydrogen?

Correct answer: 2

Rationale: The balanced equation indicates a 1:1 ratio between H2 and O2, so 4 moles of H2 require 4 moles of O2, and 2 moles of H2 require 2 moles of O2.

6. What describes the change in direction of light when it passes through different mediums, such as air and water?

Correct answer: c

Rationale: Refraction is the bending of light as it passes from one medium to another with different optical densities, causing a change in direction.

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