hannah spends at least 16 on 4 packages of coffee which of the following inequalities represents the possible costs
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ATI TEAS 7

ATI TEAS Math Practice Test

1. If Hannah spends at least $16 on 4 packages of coffee, which of the following inequalities represents the possible costs?

Correct answer: D

Rationale: To represent the relationship between the number of packages of coffee and the minimum cost, the inequality can be written as 4p ≥ 16 (cost is at least $16). This inequality can also be expressed as 16 ≤ 4p, which reads as the cost being less than or equal to $16. Therefore, the correct answer is D. Choice A (16 ≥ 4p) implies that the cost can be greater than or equal to $16, which does not align with the statement that Hannah spends at least $16. Choice B (16 < 4p) suggests that the cost is less than $16, which contradicts the given information. Choice C (16 > 4p) indicates that the cost is greater than $16, which is not accurate based on the scenario provided.

2. Which of the following is a unit of work and energy?

Correct answer: B

Rationale: The correct answer is 'B: Kilowatt-hour (kWh).' The kilowatt-hour is a unit commonly used to measure electricity consumption, representing energy usage over time. A Pascal (Pa) is a unit of pressure, Coulomb (C) is a unit of electric charge, and Tesla (T) is a unit of magnetic flux density. Therefore, the kilowatt-hour is the appropriate unit for measuring work and energy in this context.

3. Based on the passage, which of the following is the most logical conclusion?

Correct answer: D

Rationale: Based on the passage, the most logical conclusion is that students are most likely to earn the maximum extra credit by choosing the first option. The first option provides an extra credit project worth 150% of the point value of the essay exam, giving students more than enough chance to make up the difference and raise their overall score. The second and third options also offer the same 150% extra credit, but they involve more subjective scoring or group work, respectively, which may not ensure maximum extra credit. Therefore, choosing the first option is the best way for students to earn the most extra credit.

4. When sodium hydroxide (NaOH) reacts with hydrochloric acid (HCl), the resulting product is:

Correct answer: A

Rationale: When sodium hydroxide (NaOH) reacts with hydrochloric acid (HCl), a neutralization reaction occurs. The products of this reaction are water (H2O) and a salt, which is sodium chloride (NaCl). The chemical equation for this reaction is: NaOH + HCl -> NaCl + H2O. Choice B is incorrect because chlorine gas and sodium oxide are not the products of this reaction. Choice C is incorrect as sodium metal and water are not the products formed in this neutralization reaction. Choice D is incorrect because a reaction does occur between NaOH and HCl, resulting in the formation of NaCl and H2O. Therefore, the correct answer is A: Hydrogen gas and sodium chloride (NaCl).

5. "I would like to go with you; however, I won’t have time." In this sentence, what part of speech is the word "however"?

Correct answer: C

Rationale: The word "however" in the given sentence functions as a conjunctive adverb. Conjunctive adverbs are used to connect clauses or sentences and show relationships between them. In this case, "however" introduces a contrast between the speaker's desire to go and the lack of time, indicating a shift in the information provided.

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