solve for y 2y 5 25 10 7588667
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ATI TEAS 7

ATI TEAS Math Practice Test

1. Solve for y: 2y + 5 = 25 * 10

Correct answer: B

Rationale: To solve the equation 2y + 5 = 25 * 10, start by simplifying the right side: 25 * 10 = 250. Then, subtract 5 from both sides to isolate 2y: 2y = 250 - 5 = 245. Finally, divide by 2 to find the value of y: y = 245 / 2 = 122.5. Therefore, the correct answer is y = 122.5. Choices A, C, and D are incorrect as they do not result from the correct calculation steps.

2. What causes varicose veins to occur?

Correct answer: B

Rationale: Varicose veins occur when the valves within the veins become incompetent, leading to blood pooling in the veins instead of being efficiently pumped back to the heart. This causes the veins to become enlarged, twisted, and visible under the skin. Factors such as genetics, aging, pregnancy, and prolonged standing or sitting can contribute to the development of incompetent valves and the resulting varicose veins. Atherosclerosis is the buildup of plaque in arteries, not veins, and does not directly cause varicose veins. Loss of skin turgor is related to skin elasticity and not a direct cause of varicose veins. Loss of blood vessel elasticity is a general term and does not specifically address the mechanism behind varicose veins, which is primarily due to incompetent valves.

3. Your measurement of the width of a door is 36 inches. The actual width of the door is 35.75 inches. What is the relative error in your measurement?

Correct answer: A

Rationale: To calculate relative error, you use the formula: (|measured value - actual value| / actual value) * 100%. Substituting the values, we get (|36 - 35.75| / 35.75) * 100% = (0.25 / 35.75) * 100% = 0.7%. This means your measurement is off by 0.7% from the actual width of the door. Choice B, 0.01%, is too small as it doesn't reflect the actual difference. Choices C and D are significantly different from the calculated answer and do not represent the accurate relative error in the measurement.

4. Which property of a wave is responsible for determining its energy?

Correct answer: C

Rationale: The correct answer is C, Frequency. The energy of a wave is determined by its frequency, not its amplitude, wavelength, or velocity. According to the equation E = h*f, where E is energy, h is Planck's constant, and f is frequency, the energy of a wave is directly proportional to its frequency. Higher frequency waves carry more energy, while lower frequency waves carry less energy. Therefore, frequency plays a crucial role in determining the energy content of a wave, making it the correct choice in this context.

5. In the sentence “Bess, who can draw beautifully, loves art; but Grace, who thinks very logically, prefers science,” what type of sentence structure is being used?

Correct answer: C

Rationale: The correct answer is C, complex. This sentence contains an independent clause ('Bess loves art') and a dependent clause ('who can draw beautifully'). The dependent clause relies on the independent clause for context and cannot stand alone as a complete sentence. The connection between the clauses is established by the relative pronoun 'who.' Choices A, B, and D are incorrect. It is not a compound-complex sentence as it lacks multiple independent clauses and a dependent clause, respectively. It is not a compound sentence since it does not have two independent clauses joined by a coordinating conjunction. Lastly, it is not a simple sentence because it contains both an independent and a dependent clause, making it more complex than a simple sentence.

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