ATI TEAS 7
Mathematics
1. A lab needs 200ml of a 5% salt solution. They only have a 10% solution. How much 10% solution and water should be mixed?
- A. 100ml 10% solution, 100ml water
- B. 150ml 10% solution, 50ml water
- C. 160ml 10% solution, 40ml water
- D. 200ml 10% solution, 0ml water
Correct answer: B
Rationale: Rationale: 1. Let x be the volume of the 10% solution needed and y be the volume of water needed. 2. The total volume of the final solution is 200ml, so x + y = 200. 3. The concentration of the final solution is 5%, so the amount of salt in the final solution is 0.05 * 200 = 10g. 4. The amount of salt in the 10% solution is 0.1x, and the amount of salt in the water is 0, so the total amount of salt in the final solution is 0.1x. 5. Since the total amount of salt in the final solution is 10g, we have 0.1x = 10. 6. Solving for x, we get x = 100ml. 7. Substituting x =
2. Which skin condition is characterized by patches of inflamed, reddened skin and is often triggered by allergens or stress?
- A. Eczema
- B. Psoriasis
- C. Acne
- D. Vitiligo
Correct answer: A
Rationale: The correct answer is A: Eczema. Eczema is a skin condition characterized by patches of inflamed, reddened skin that can be triggered by allergens or stress. It is a chronic condition that can cause itching and discomfort. Psoriasis (option B) is a different skin condition characterized by red, scaly patches on the skin. Acne (option C) is a common skin condition characterized by pimples and clogged pores. Vitiligo (option D) is a condition where the skin loses its pigment, resulting in white patches. Therefore, eczema best fits the description provided in the question.
3. Molecular clocks utilize the accumulation of mutations in DNA sequences to estimate the evolutionary divergence time between species. This method relies on the assumption that:
- A. The rate of mutation is constant across all genes and all species.
- B. Species with more morphological similarities diverged more recently.
- C. Mutations are always beneficial and contribute to increased fitness.
- D. The fossil record provides the most accurate estimates of evolutionary relationships.
Correct answer: A
Rationale: Rationale: A molecular clock is a method used to estimate the time of divergence between species by measuring the accumulation of mutations in DNA sequences. This method relies on the assumption that mutations occur at a relatively constant rate over time. If the rate of mutation were not constant, it would be challenging to accurately estimate the evolutionary divergence time between species. Therefore, option A is the most appropriate choice as it aligns with the fundamental principle underlying the molecular clock hypothesis. Option B is incorrect because the assumption that species with more morphological similarities diverged more recently does not directly relate to the concept of molecular clocks and the accumulation of mutations in DNA sequences. Option C is incorrect because mutations are not always beneficial and do not always contribute to increased fitness. Mutations can be neutral or deleterious as well, and their accumulation is what is used to estimate evolutionary di
4. What part of speech is the underlined word in the sentence "The students eagerly awaited the results"?
- A. Verb
- B. Noun
- C. Adjective
- D. Adverb
Correct answer: B
Rationale: Option B identifies "results" as the direct object of the verb "awaited," making it a noun.
5. A 10 kg box rests on a frictionless surface. A horizontal force of 20 N is applied to the box. What is the box's acceleration?
- A. 0.5 m/s²
- B. 1 m/s²
- C. 2 m/s²
- D. 10 m/s²
Correct answer: C
Rationale: Use Newton's second law, F = ma, where F is the net force, m is the mass, and a is the acceleration. Since there is no friction, the net force equals the applied force (20 N). Therefore, a = F/m = 20 N / 10 kg ≈ 2 m/s².
6. Identify the subject in the following sentence: "The red car parked in the driveway."
- A. driveway
- B. red
- C. car
- D. the
Correct answer: C
Rationale: The subject is the noun or pronoun performing the action or being described in the sentence.
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