a commuter survey counts the people riding in cars on a highway in the morning each car contains only one man only one woman or both one man and one w
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ATI TEAS 7

TEAS Test Practice Math

1. A commuter survey counts the people riding in cars on a highway in the morning. Each car contains only one man, only one woman, or both one man and one woman. Out of 25 cars, 13 contain a woman and 20 contain a man. How many contain both a man and a woman?

Correct answer: C

Rationale: Let's denote the number of cars containing only a man as M, only a woman as W, and both a man and a woman as B. Given that there are 25 cars in total, we have: M + W + B = 25 From the information provided, we know that 13 cars contain a woman (W) and 20 cars contain a man (M). Since each car contains either one man, one woman, or both, the cars that contain both a man and a woman (B) are counted once in each of the M and W categories. Therefore, to find out how many cars contain both a man and a woman, we need to subtract the number of cars that contain only a man and only a woman from the total cars. M + B = 20 (as 20 cars contain a man) W + B = 13 (as 13 cars contain a woman) Solving the above two equations simultaneously, we get: M = 12, W = 5, B = 8 Therefore, 8 cars contain both a man and a woman. Hence, the correct answer is 8. Choice A, B, and D are incorrect as they do not reflect the correct calculation based on the information provided.

2. Which of the following compound sentences is punctuated correctly?

Correct answer: D

Rationale: Choice D is the correct answer because it correctly punctuates the compound sentence with a semicolon separating the two independent clauses. The use of a semicolon is appropriate when two closely related independent clauses are joined without a coordinating conjunction. Choices A, B, and C have incorrect punctuation or conjunction usage. Choice A incorrectly uses a comma before 'and,' while Choice B uses 'though' which is not the best conjunction to join the two clauses. Choice C also lacks appropriate punctuation to separate the two independent clauses.

3. According to the Law of Conservation of Energy, what happens to the total amount of energy in a closed system?

Correct answer: C

Rationale: According to the Law of Conservation of Energy, the total amount of energy in a closed system remains constant. This principle states that energy cannot be created or destroyed within the system but can only be transformed from one form to another. Therefore, the total energy within the system is conserved and does not change over time. Choice A is incorrect because the total energy in a closed system does not increase over time, as it remains constant. Choice B is incorrect as the total energy does not decrease over time within a closed system. Choice D is incorrect as the conservation of energy is not dependent on the temperature of the system, but rather on the transformation and conservation of energy within the system. Understanding this concept is fundamental for understanding the behavior of energy in various physical systems and processes.

4. A sweater that normally sells for $78 is marked 15% off. Which of the following estimates the sale price of the sweater?

Correct answer: B

Rationale: To find the sale price after a 15% discount, you calculate 15% of $78, which is $11.70. Subtracting $11.70 from the original price gives $66.30. Since the price is typically rounded, the estimated sale price is $66. Choice A, $12, is too low and does not reflect a 15% discount off $78. Choice C, $22, and choice D, $69, are also incorrect as they do not accurately estimate the sale price after a 15% discount.

5. Which of the following examples is a compound-complex sentence?

Correct answer: D

Rationale: Sentence D is a compound-complex sentence because it contains two independent clauses ('Even though the puppy was much smaller than his mother' and 'his eyes were dark brown and shiny just like hers') and one dependent clause ('and his ears were long and floppy, too'). Choices A, B, and C do not meet the criteria for a compound-complex sentence as they lack a combination of independent and dependent clauses.

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