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ATI TEAS 7

TEAS Test Sample Math Questions

1. Divide 4/3 by 9/13 and reduce the fraction.

Correct answer: A

Rationale: To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. So, (4/3) ÷ (9/13) = (4/3) * (13/9) = 52/27. This fraction is already in its reduced form, making choice A the correct answer. Choices B, C, and D are incorrect as they do not represent the correct result of dividing the fractions 4/3 by 9/13.

2. Which of the following factors would increase the solubility of a gas in a liquid?

Correct answer: B

Rationale: The correct answer is increasing pressure. According to Henry's Law, the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas above the liquid. Therefore, increasing pressure would force more gas molecules into the liquid, leading to an increase in solubility. Conversely, decreasing temperature, decreasing surface area, and increasing particle size would not directly impact the solubility of a gas in a liquid. Decreasing temperature typically decreases solubility as gases are less soluble at lower temperatures. Decreasing surface area and increasing particle size are related to surface area and not the pressure above the liquid, thus not affecting solubility as pressure does.

3. Simplify the following expression: 5/9 × 15/36

Correct answer: A

Rationale: To simplify the given expression, multiply the numerators together and the denominators together. 5/9 × 15/36 = (5 × 15) / (9 × 36) = 75 / 324. Now, simplify the resulting fraction by finding the greatest common divisor (GCD) of 75 and 324, which is 3. Divide both the numerator and denominator by 3 to get the simplified fraction: 75 ÷ 3 / 324 ÷ 3 = 25 / 108. Therefore, the simplified form of 5/9 × 15/36 is 25/108, which is equivalent to 5/36. Choice A, 5/36, is the correct answer. Choice B, 8/27, is incorrect as it does not match the simplified form of the expression. Choice C, 10/17, is unrelated and does not result from the given multiplication. Choice D, 15/27, does not correspond to the simplification of the given expression.

4. Which statement is true regarding aromatic compounds?

Correct answer: A

Rationale: Aromatic compounds contain a ring structure with alternating single and double bonds, known as a benzene ring. This alternating pattern of bonds gives aromatic compounds their stability and unique properties. Due to this resonance, aromatic compounds are less reactive towards addition reactions. Water does not easily break down aromatic compounds due to their stability from the delocalized electrons in the ring structure. Therefore, the correct statement is that aromatic compounds contain a ring structure with alternating single and double bonds, providing them with stability and unique properties. Choices B, C, and D are incorrect. Aromatic compounds do not readily undergo addition reactions (B), are not easily broken down by water (C), and do contain pi (π) bonds due to the presence of the alternating single and double bonds in the ring structure (D).

5. Which of the following is a correctly punctuated simple sentence?

Correct answer: A

Rationale: The sentence in option A is a correctly punctuated simple sentence with a compound predicate ('spent... smelling'). It consists of a subject 'Leah and Jerry' and a compound predicate 'spent... smelling,' making it a complete sentence. Option B contains a comma splice, joining two independent clauses incorrectly with just a comma. Option C is a complex sentence with a dependent clause ('Because it was now spring') and an independent clause, not a simple sentence. Option D is a complex sentence with a dependent clause ('As Leah jogged in the park') and an independent clause, not a simple sentence. Therefore, option A is the only choice that represents a correctly punctuated simple sentence.

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