ATI TEAS 7
TEAS Practice Test Math
1. If x represents the width of a rectangle and the length is six less than two times the width, which of the following expressions represents the length of the rectangle in terms of x?
- A. 2x-6
- B. 6-2x
- C. 6x-2
- D. 3x-4
Correct answer: A
Rationale: To find the expression representing the length of the rectangle in terms of x, we need to consider that the length is six less than two times the width. If we denote the width as x, the length can be expressed as 2x - 6. Therefore, the correct expression is 2x-6 (choice A). Choice B, 6-2x, represents the width subtracted from 6, not the length. Choice C, 6x-2, is not derived from the given information about the relationship between the width and length. Choice D, 3x-4, is not consistent with the relationship provided in the question.
2. A guitar string vibrates at a fundamental frequency of 440 Hz. What is the frequency of the second harmonic (first overtone)?
- A. 220 Hz
- B. 440 Hz
- C. 880 Hz
- D. 1760 Hz
Correct answer: C
Rationale: The second harmonic (first overtone) is twice the frequency of the fundamental frequency. Therefore, the frequency of the second harmonic is 440 Hz * 2 = 880 Hz. The second harmonic has a frequency that is one octave higher than the fundamental frequency, representing the first overtone of the vibrating string. Choice A (220 Hz) is incorrect as it represents half the fundamental frequency and is the second harmonic, not the first overtone. Choice B (440 Hz) is the fundamental frequency itself. Choice D (1760 Hz) is the frequency of the fourth harmonic, not the second harmonic.
3. Identify the main clause in the sentence: 'Although she was tired, she finished her work on time.'
- A. Although she was tired
- B. She was tired
- C. She finished her work on time
- D. Finished her work on time
Correct answer: C
Rationale: The main clause is the independent clause that can stand alone as a complete sentence. In this sentence, 'She finished her work on time' is the main clause because it expresses a complete thought independently. Choices A and B are subordinate clauses as they cannot stand alone as complete sentences. Choice D lacks the subject 'she,' making it incomplete and not a main clause.
4. What is the author's point of view?
- A. First person
- B. Third person limited
- C. Third person omniscient
- D. Objective
Correct answer: C
Rationale: The correct answer is C, 'Third person omniscient.' The passage is written from a third person omniscient perspective, where the narrator knows the thoughts of multiple characters. This is evident as the narrator describes the thoughts and actions of various characters, such as the emperor, the treasurer, and the principal secretary. The narrator's knowledge extends beyond the main character, Gulliver, providing insights into the perspectives of others. Therefore, choices A, B, and D are incorrect. Choice A, 'First person,' would imply that the narrator is a character within the story, which is not the case here. Choice B, 'Third person limited,' would restrict the narrator's knowledge to only one character's thoughts and feelings, which is not the situation in this passage. Choice D, 'Objective,' would indicate a neutral and unbiased narration without delving into characters' thoughts, which is not the perspective used in this excerpt.
5. How many grams are in 1 kilogram?
- A. 10 grams
- B. 100 grams
- C. 1,000 grams
- D. 10,000 grams
Correct answer: C
Rationale: The correct answer is C: 1,000 grams. The metric system follows a logical conversion where 1 kilogram is equal to 1,000 grams. This conversion is a fundamental concept in understanding units of measurement. Choices A, B, and D are incorrect because they do not accurately reflect the conversion between kilograms and grams. Option A (10 grams) is incorrect as it represents 1/100th of the correct conversion. Option B (100 grams) is also incorrect as it represents 1/10th of the correct conversion. Option D (10,000 grams) is significantly higher than the actual conversion, making it incorrect. Understanding these basic unit conversions is essential for various fields where precise measurements are necessary.
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