simplify the following expression 59 1536
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ATI TEAS 7

TEAS Test Math Prep

1. Simplify the following expression: 5/9 × 15/36

Correct answer: A

Rationale: To simplify the given expression, multiply the numerators together and the denominators together. 5/9 × 15/36 = (5 × 15) / (9 × 36) = 75 / 324. Now, simplify the resulting fraction by finding the greatest common divisor (GCD) of 75 and 324, which is 3. Divide both the numerator and denominator by 3 to get the simplified fraction: 75 ÷ 3 / 324 ÷ 3 = 25 / 108. Therefore, the simplified form of 5/9 × 15/36 is 25/108, which is equivalent to 5/36. Choice A, 5/36, is the correct answer. Choice B, 8/27, is incorrect as it does not match the simplified form of the expression. Choice C, 10/17, is unrelated and does not result from the given multiplication. Choice D, 15/27, does not correspond to the simplification of the given expression.

2. Which of the following words is an exception to a common spelling rule?

Correct answer: C

Rationale: The correct answer is 'C: changeable.' This word is an exception to a common spelling rule where it retains the 'e' when adding the suffix '-able.' In contrast, choices A, B, and D follow standard spelling rules without exceptions.

3. What is the main function of dietary fiber in the digestive system?

Correct answer: C

Rationale: Dietary fiber refers to the indigestible portion of plant foods that passes relatively intact through the digestive system. While fiber does not directly provide energy to the body, it plays a crucial role in promoting the growth of beneficial gut bacteria. These bacteria help in the fermentation of fiber, producing short-chain fatty acids that can be used as an energy source by the body. Additionally, fiber aids in regulating bowel movements, maintaining gut health, and supporting overall digestive function. The functions described in the incorrect choices do not align with the primary role of dietary fiber in the digestive system. Choice A is incorrect because fiber itself is not a direct energy source. Choice B is incorrect as fiber does not break down fats. Choice D is incorrect because while fiber affects nutrient absorption indirectly by supporting gut health, its primary role is not to aid in the absorption of nutrients.

4. What is the condition called when someone experiences a temporary loss of consciousness due to a lack of blood flow to the brain?

Correct answer: C

Rationale: Syncope, also known as fainting, is a temporary loss of consciousness caused by a lack of blood flow to the brain. This can occur due to various reasons such as low blood pressure, dehydration, or sudden emotional stress. Strokes involve a disruption of blood flow to the brain resulting in brain cell damage. Epilepsy is a neurological disorder characterized by recurrent seizures. Multiple sclerosis is a chronic autoimmune disease that affects the central nervous system. In this case, the correct answer is 'Syncope' as it directly relates to the temporary loss of consciousness due to decreased blood flow to the brain, distinguishing it from the other options which involve different conditions affecting the nervous system.

5. What is the term for the number of moles of solute per liter of solution?

Correct answer: A

Rationale: Molarity is the correct term for the number of moles of solute per liter of solution. It is expressed as moles of solute divided by liters of solution. Molality (B) is similar but is moles of solute per kilogram of solvent. Normality (C) is the number of equivalents of solute per liter of solution, and Concentration (D) is a general term for the amount of solute present in a given quantity of solution. Therefore, the correct answer is A, molarity, as it specifically refers to moles of solute per liter of solution.

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