ATI TEAS 7
TEAS Exam Math Practice
1. Which of the following is not a negative value?
- A. (−3)(−1)(2)(−1)
- B. 14 – 7 + (−7)
- C. 7 – 10 + (−8)
- D. −5(−2)(−3)
Correct answer: B
Rationale: To identify the negative value, simplify each expression. A) simplifies to 6 which is positive. B) simplifies to 0 which is neither positive nor negative. C) simplifies to -11 which is negative. D) simplifies to -30 which is negative. Therefore, only choice B results in a non-negative value, making it the correct answer.
2. Simplify (x^2 - y^2) / (x - y)
- A. x + y
- B. x - y
- C. 1
- D. (x + y)/(x - y)
Correct answer: A
Rationale: The expression 𝑥^2 - 𝑦^2 is a difference of squares, which follows the identity: 𝑥^2 - 𝑦^2 = (𝑥 + 𝑦)(𝑥 - 𝑦). Therefore, the given expression becomes: (𝑥^2 - 𝑦^2) / (𝑥 - 𝑦) = (𝑥 + 𝑦)(𝑥 - 𝑦) / (𝑥 - 𝑦). Since (𝑥 - 𝑦) appears in both the numerator and the denominator, they cancel each other out, leaving 𝑥 + 𝑦. Thus, the simplified form of (𝑥^2 - 𝑦^2) / (𝑥 - 𝑦) is 𝑥 + 𝑦. Therefore, the correct answer is A (x + y). Option B (x - y) is incorrect as it does not result from simplifying the given expression. Option C (1) is incorrect as it does not account for the variables x and y present in the expression. Option D ((x + y)/(x - y)) is incorrect as it presents the simplified form in a different format than the correct answer.
3. Through which part of the digestive system are nutrients absorbed into the bloodstream?
- A. Stomach
- B. Large intestine
- C. Small intestine
- D. Esophagus
Correct answer: C
Rationale: The small intestine is the primary site of nutrient absorption in the digestive system. It is where the majority of digestion and absorption of nutrients such as carbohydrates, proteins, and fats occurs. The inner lining of the small intestine is covered in tiny finger-like projections called villi, which increase the surface area available for absorption. Nutrients are absorbed through the walls of the small intestine and into the bloodstream to be transported to cells throughout the body. The stomach's main role is to break down food through the action of stomach acids and enzymes but does not absorb nutrients. The large intestine primarily absorbs water and electrolytes from the remaining indigestible food matter, and the esophagus is a muscular tube that transports food from the mouth to the stomach, without being involved in nutrient absorption.
4. Philadelphia is home to some excellent walking tours where visitors can learn more about the culture and rich history of the city of brotherly love. What are the adjectives in the preceding sentence?
- A. Philadelphia, tours, visitors, culture, history, city, love
- B. Excellent, walking, rich, brotherly
- C. Is, can, learn
- D. To, about, of
Correct answer: B
Rationale: The adjectives in the sentence are 'excellent,' 'walking,' 'rich,' and 'brotherly.' Adjectives are words that modify or describe nouns, and in this case, these words provide additional information about the walking tours and the history of Philadelphia. Choices A, C, and D do not contain adjectives. Choice A consists of nouns, Choice C includes verbs, and Choice D contains prepositions, none of which are adjectives as they do not describe or modify nouns.
5. Convert 250 milliliters to liters.
- A. 25 liters
- B. 0.25 liters
- C. 2.5 liters
- D. 0.025 liters
Correct answer: B
Rationale: To convert milliliters to liters, you need to divide by 1000 since there are 1000 milliliters in a liter. Therefore, 250 milliliters is equal to 250/1000 = 0.25 liters. Choice A, 25 liters, is incorrect as it is a magnitude higher than the correct answer. Choice C, 2.5 liters, is also incorrect as it is 10 times greater than the correct conversion. Choice D, 0.025 liters, is incorrect as it is a magnitude lower than the correct conversion.
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