simplify the following expression 14 35 1 18
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ATI TEAS 7

ATI TEAS Math Practice Test

1. Simplify the following expression: (1/4) × (3/5) ÷ 1 (1/8)

Correct answer: C

Rationale: First, convert the mixed number 1 (1/8) into an improper fraction: 1 (1/8) = 9/8. Now, simplify the expression: (1/4) × (3/5) ÷ (9/8). To divide by a fraction, multiply by its reciprocal: (1/4) × (3/5) × (8/9) = 24/180 = 2/15. Thus, the simplified expression is 2/15. Choice A (8/15) is incorrect because the correct answer is 2/15. Choice B (27/160) is incorrect as it is not the result of the given expression. Choice D (27/40) is incorrect as it does not match the simplified expression obtained.

2. Usually I take a walk every day after breakfast, ____________ it was raining today.

Correct answer: C

Rationale: The correct answer is 'But.' In this sentence, the conjunction 'but' is used to show a contrast between the usual routine of taking a walk after breakfast and the fact that it was raining today. 'While' suggests a concurrent action, 'Because' implies causation, and 'When' introduces a time relationship, none of which are suitable in this context.

3. What is the relationship between the Pauli exclusion principle and the structure of the atom?

Correct answer: A

Rationale: The Pauli exclusion principle states that no two electrons in an atom can have the same set of quantum numbers. This principle defines the maximum number of electrons allowed in each energy level, influencing the structure of the atom. Choice B is incorrect as it refers to the concept of electrostatic attraction, not directly related to the Pauli exclusion principle. Choice C is incorrect as it pertains to the wave-particle duality, a different aspect of quantum mechanics. Choice D is incorrect as it relates to the arrangement of protons and neutrons in the nucleus, not governed by the Pauli exclusion principle.

4. Express 18/5 as a reduced mixed number.

Correct answer: A

Rationale: To convert the improper fraction 18/5 to a mixed number, divide 18 by 5. The quotient is 3 with a remainder of 3, which translates to 3 3/5. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not accurately represent the conversion of 18/5 to a mixed number.

5. The athlete ran the race in record time. Which word is the present participle of the verb 'run'?

Correct answer: C

Rationale: The present participle form of a verb is used to indicate continuous or ongoing action. In this case, 'running' is the present participle of the verb 'run.' It shows that the action is in progress, unlike the past tense 'ran' or the simple present 'runs.' 'Runner' is a noun derived from the verb but not the present participle form.

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