simplify the following expression 3 16 1 56
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ATI TEAS 7

ATI TEAS Math Practice Test

1. Simplify the following expression: 3 (1/6) - 1 (5/6)

Correct answer: B

Rationale: To simplify: First, subtract the whole numbers: 3 - 1 = 2. Then, subtract the fractions: (1/6) - (5/6) = - (4/6) = - (2/3). Now, subtract (2 - 2/3) = 1 (1/3).

2. Jerry needs to load four pieces of equipment onto a factory elevator that has a weight limit of 800 pounds. Jerry weighs 200 pounds. What would be the average weight of each item so that the elevator's weight limit is not exceeded?

Correct answer: B

Rationale: To find the average weight per item, subtract Jerry's weight from the elevator's weight limit: 800 - 200 = 600 pounds. Since there are 4 items, divide 600 by 4 to determine that each item should weigh 150 pounds. Choice A (128 pounds), C (175 pounds), and D (180 pounds) are incorrect as they do not correctly calculate the average weight per item to ensure the elevator's weight limit is not exceeded.

3. Which statement is TRUE about valence electrons?

Correct answer: C

Rationale: Valence electrons are the outermost electrons in an atom's electron cloud and are crucial in forming chemical bonds with other atoms. These electrons determine the reactivity and chemical properties of an element, making option C the correct statement. Option A is incorrect as valence electrons are found in the outer shell, not the innermost shell. Option B is incorrect because valence electrons have lower binding energy compared to inner electrons. Option D is incorrect since valence electrons play a significant role in an element's chemical behavior.

4. When calcium chloride (CaCl2) dissolves in water, it separates into its ions (Ca2+ and Cl-). This is an example of:

Correct answer: B

Rationale: When calcium chloride dissolves in water, it separates into its ions without forming a new substance, which is characteristic of a physical change. A physical change involves alterations in the substance's physical properties without changing its chemical composition. In this scenario, the chemical formula of calcium chloride remains unchanged, and only its physical state changes by creating ions in the solution. Therefore, the dissolution of calcium chloride in water is an example of a physical change. Choice A, 'Chemical change,' is incorrect because no new substances are formed during the dissolution process. Choice C, 'Precipitation,' is incorrect as precipitation involves the formation of an insoluble solid when two solutions react. Choice D, 'Neutralization,' is incorrect as it refers to a reaction between an acid and a base to form salt and water, which is not the case in the given scenario.

5. Water is capable of dissolving many substances that organisms need to carry out life functions. Which of the properties of water listed below is responsible for its ability to dissolve important nutrients like ionic salt compounds?

Correct answer: D

Rationale: The property of water that is responsible for its ability to dissolve important nutrients like ionic salt compounds is its high polarity. Water is a polar molecule with a positive and negative end, which allows it to attract and surround individual ions from salt compounds, causing them to dissociate and dissolve in water. This property makes water an excellent solvent for various substances necessary for life functions. Adhesion refers to the ability of water molecules to stick to other substances, cohesion is the attraction between water molecules themselves, and high specific heat is the amount of heat energy required to raise the temperature of water. While these properties are important characteristics of water, they are not directly responsible for its ability to dissolve ionic salt compounds.

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