ATI TEAS 7
TEAS Test Math Questions
1. Apply the polynomial identity to rewrite (a + b)².
- A. a² + b²
- B. 2ab
- C. a² + 2ab + b²
- D. a² - 2ab + b²
Correct answer: C
Rationale: When you see something like (a + b)², it means you're multiplying (a + b) by itself: (a + b)² = (a + b) × (a + b) To expand this, we use the distributive property (which says you multiply each term in the first bracket by each term in the second bracket): Multiply the first term in the first bracket (a) by both terms in the second bracket: a × a = a² a × b = ab Multiply the second term in the first bracket (b) by both terms in the second bracket: b × a = ab b × b = b² Now, add up all the results from the multiplication: a² + ab + ab + b² Since ab + ab is the same as 2ab, we can simplify it to: a² + 2ab + b² So, (a + b)² = a² + 2ab + b². This is known as a basic polynomial identity, and it shows that when you square a binomial (a two-term expression like a + b), you get three terms: the square of the first term (a²), twice the product of the two terms (2ab), and the square of the second term (b²). Therefore, the correct answer is C (a² + 2ab + b²)
2. Where is the pineal gland located in the body?
- A. Below the larynx
- B. Above the kidney
- C. At the center of the brain hemispheres
- D. At the base of the brain
Correct answer: C
Rationale: The pineal gland is correctly located at the center of the brain, between the two hemispheres. It is a small endocrine gland often referred to as the 'third eye' due to its unique location. Choices A, B, and D are incorrect as the pineal gland is not situated below the larynx, above the kidney, or at the base of the brain.
3. As part of a study, a set of patients will be divided into three groups. 4/15 of the patients will be in Group Alpha, 2/5 in Group Beta, and 1/3 in Group Gamma. Order the groups from smallest to largest, according to the number of patients in each group.
- A. Group Alpha, Group Beta, Group Gamma
- B. Group Alpha, Group Gamma, Group Beta
- C. Group Gamma, Group Alpha, Group Beta
- D. Group Alpha, Group Beta, Group Gamma
Correct answer: B
Rationale: The correct order is Group Alpha, Group Gamma, Group Beta based on the common denominators of the fractions. To determine the order from smallest to largest, compare the fractions' numerators since the denominators are different. Group Alpha has 4/15 patients, Group Gamma has 1/3 patients, and Group Beta has 2/5 patients. Comparing the fractions' numerators, the order from smallest to largest is Group Alpha (4), Group Gamma (1), and Group Beta (2). Therefore, the correct order is Group Alpha, Group Gamma, Group Beta. Choice A is incorrect as it lists Group Beta before Group Gamma. Choice C is incorrect as it lists Group Gamma before Group Alpha. Choice D is incorrect as it lists Group Beta before Group Gamma, which is not in ascending order based on the number of patients.
4. Which of the following functions is NOT performed by the integumentary system, the skin?
- A. Protect internal tissues from injury
- B. Waterproof the body
- C. Help regulate body temperature
- D. Return fluid to the blood vessels
Correct answer: D
Rationale: The integumentary system, which includes the skin, performs various functions like protecting internal tissues from injury, waterproofing the body, and helping regulate body temperature. The function of returning fluid to the blood vessels is primarily associated with the lymphatic system, not the integumentary system. The skin contributes to fluid balance by regulating sweating and preventing excessive water loss, but it does not directly return fluid to the blood vessels, making this the correct answer. Choices A, B, and C are functions directly related to the integumentary system and are essential for maintaining the body's overall health and well-being.
5. What is the term for the process of converting a liquid into a gas at a temperature below its boiling point?
- A. Vaporization
- B. Evaporation
- C. Condensation
- D. Sublimation
Correct answer: B
Rationale: Evaporation is the correct term for the process of converting a liquid into a gas at a temperature below its boiling point. During evaporation, molecules of the liquid gain enough energy to escape into the gas phase, primarily occurring at the liquid's surface. Vaporization is a broader term that encompasses the conversion of a substance from a liquid or solid state to a gas, not specifically at temperatures below the boiling point. Condensation is the reverse process of evaporation, involving the conversion of a gas into a liquid. Sublimation, on the other hand, refers to the direct transition of a substance from the solid phase to the gas phase without passing through the liquid phase.
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