on a highway map the scale indicates that 1 inch represents 45 miles if the distance on the map is 32 inches how far is the actual distance
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ATI TEAS 7

TEAS 7 Math Practice Test

1. On a highway map, the scale indicates that 1 inch represents 45 miles. If the distance on the map is 3.2 inches, how far is the actual distance?

Correct answer: D

Rationale: To find the actual distance represented by 3.2 inches on the map, we use the scale of 1 inch representing 45 miles. Setting up the proportion 1 inch = 45 miles, we can calculate the actual distance by multiplying 3.2 inches by 45 miles, which equals 144 miles. Therefore, the correct answer is 144 miles. Choice A (45 miles) is incorrect as it represents the distance for 1 inch on the map, not for 3.2 inches. Choices B (54 miles) and C (112 miles) are incorrect calculations based on a misinterpretation of the scale.

2. If a doctor diagnoses a patient with an impaired posterior pituitary gland, which of the following symptoms related to kidney function does the patient display?

Correct answer: D

Rationale: When the posterior pituitary gland is impaired, there is decreased secretion of antidiuretic hormone (ADH). ADH plays a crucial role in regulating water reabsorption by the kidneys. A deficiency of ADH leads to the inability of the kidneys to concentrate urine, resulting in the production of dilute urine. Therefore, 'Concentrated urine' is the correct symptom associated with impaired posterior pituitary gland. Choices A, B, and C are incorrect. Thirst is more commonly associated with diabetes insipidus, tiredness could be a general symptom but not specifically related to kidney function, and weight gain is not a typical symptom of impaired posterior pituitary gland affecting kidney function.

3. Which lobe of the brain is primarily responsible for processing visual information?

Correct answer: D

Rationale: The occipital lobe, located at the back of the brain, is primarily responsible for processing visual information. It contains the primary visual cortex, which interprets visual stimuli received from the eyes. The frontal lobe is primarily involved in higher cognitive functions, the parietal lobe in sensory processing and spatial awareness, and the temporal lobe in auditory processing and memory. Therefore, choices A, B, and C are incorrect as they are associated with functions different from visual processing.

4. In a closed system with a gas at constant volume, what will happen to the temperature if the pressure is increased?

Correct answer: C

Rationale: In a closed system with a gas at constant volume, according to Gay-Lussac's law, the temperature of a gas is directly proportional to its pressure. When the pressure is increased, the temperature of the gas will also increase. This relationship is a direct consequence of the ideal gas law, where pressure and temperature are directly proportional when volume is held constant. Therefore, as pressure increases in a closed system with constant volume, the temperature of the gas will increase. Choices A, B, and D are incorrect. The temperature will not stay the same (Choice A) or decrease (Choice B) when the pressure is increased in this scenario. The relationship between pressure and temperature in a closed system with constant volume allows for a definitive conclusion about the increase in temperature when pressure is increased, making Choice D, which suggests inability to determine, incorrect.

5. 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.

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