ATI TEAS 7
Mathematics
1. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?
- A. -5
- B. i^5
- C. 5√-1
- D. 1/5i
Correct answer: C
Rationale: Rationale: - The imaginary unit, denoted as "i," is defined as the square root of -1. - Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1. - Option A, -5, is a real number and not an imaginary unit multiple. - Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i. - Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.
2. The sentence "The audience was captivated by the speaker's compelling story" implies that the audience:
- A. Was bored and disinterested.
- B. Found the story confusing.
- C. Was completely absorbed and engaged.
- D. Disagreed with the speaker's message.
Correct answer: C
Rationale: "Captivated" suggests the audience was completely held by the speaker's story.
3. Which word in the sentence "The quick brown fox jumps over the lazy dog" demonstrates alliteration?
- A. quick
- B. brown
- C. fox
- D. jumps
Correct answer: A
Rationale: Alliteration is the repetition of the first consonant sound of words close together. In this case, "quick" and "brown" both start with the "k" sound.
4. When a muscle shortens and generates force, this is called a:
- A. Contraction
- B. Relaxation
- C. Extension
- D. Atrophy
Correct answer: A
Rationale: The correct answer is A: Contraction. When a muscle shortens and generates force, it is undergoing a contraction. During a contraction, the muscle fibers are actively pulling on the tendons, causing movement at a joint. This process requires energy and coordination between muscle fibers to contract simultaneously. In contrast, relaxation (option B) is when the muscle fibers return to their resting length and stop generating force. Extension (option C) refers to the movement that increases the angle at a joint, typically involving the lengthening of muscles. Atrophy (option D) is the wasting away or decrease in size of muscle tissue due to disuse or disease, not the active shortening and force generation of a muscle during a contraction.
5. What property of a substance remains constant regardless of changes in gravity?
- A. Mass
- B. Weight
- C. Volume
- D. Density
Correct answer: A
Rationale: Mass is a measure of the amount of matter in an object and remains constant regardless of changes in gravity. Weight, on the other hand, is a measure of the gravitational force acting on an object and varies with changes in gravity. Volume is the amount of space occupied by an object and can change with changes in gravity. Density is the mass of a substance per unit volume and can also change with changes in gravity if the volume changes.
6. During photosynthesis, plants capture sunlight and convert water and carbon dioxide into glucose and oxygen. This is an example of a:
- A. Decomposition reaction
- B. Combustion reaction
- C. Synthesis reaction
- D. Double displacement reaction
Correct answer: C
Rationale: The correct answer is C: Synthesis reaction. During photosynthesis, plants combine water and carbon dioxide using sunlight to produce glucose and oxygen. In a synthesis reaction, two or more substances combine to form a more complex product. In this case, glucose and oxygen are synthesized from simpler molecules. A decomposition reaction involves breaking down a compound into simpler substances, which is not the case in photosynthesis. Combustion reactions involve the rapid reaction of a fuel with oxygen to produce heat and light, which is also not the process occurring in photosynthesis. Double displacement reactions involve the exchange of ions between two compounds to form new compounds, which is not the mechanism of photosynthesis. Therefore, the process described in the question aligns with a synthesis reaction.
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