a piece of wood that is 7 12 feet long has 3 14 feet cut off how many feet of wood remain
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ATI TEAS 7

TEAS Test Math Questions

1. A piece of wood that is 7 1/2 feet long has 3 1/4 feet cut off. How many feet of wood remain?

Correct answer: A

Rationale: To find the remaining length of wood, you need to subtract 3 1/4 feet from 7 1/2 feet. When you subtract the fractions, 7 1/2 - 3 1/4, you get 15/2 - 13/4 = 30/4 - 13/4 = 17/4 = 4 1/4 feet. Therefore, the correct answer is 4 1/4 feet. Choice B (4 1/2 feet) is incorrect because the subtraction result is not 1/2. Choice C (3 1/2 feet) is incorrect as it does not match the correct result of 4 1/4 feet. Choice D (3 3/4 feet) is also incorrect as it does not align with the correct answer obtained from the subtraction of fractions.

2. Why does a prism separate white light into its constituent spectral components?

Correct answer: B

Rationale: A prism separates white light into its constituent spectral components because different colors experience varying speeds within the prism due to their different wavelengths. This causes the light to refract at different angles, resulting in the separation of colors. When light enters the prism, it undergoes dispersion, where different colors are refracted at different angles due to their unique wavelengths. This phenomenon is known as chromatic dispersion. Choice A is incorrect because a prism does not absorb colors but refracts and disperses them. Choice C is incorrect because a prism refracts different colors at different angles, not with the same magnitude. Choice D is incorrect because a prism does not reflect colors but refracts and disperses them based on their wavelengths.

3. Identify the article in the following sentence: The delicious cake was enjoyed by everyone at the party.

Correct answer: C

Rationale: The correct answer is 'C - the.' Articles ('a,' 'an,' and 'the') indicate specificity of a noun. In this sentence, 'the' specifies that there is one particular cake being discussed. Choice A ('cake') is incorrect as it is the noun being modified by the article. Choice B ('was') is a verb and not an article. Choice D ('enjoyed') is also a verb and not an article.

4. If the mass of an object remains constant and its velocity doubles, how does its momentum change?

Correct answer: C

Rationale: Momentum is calculated as the product of an object's mass and its velocity. When the mass remains constant and the velocity doubles, the momentum will increase by a factor of 2 (doubling) due to the increase in velocity. Therefore, the momentum will quadruple (2 x 2 = 4) when the velocity doubles. This relationship between momentum and velocity showcases the direct proportionality of momentum to velocity, given a constant mass. Choices A, B, and D are incorrect. Momentum does not simply double or halve when the velocity doubles; it quadruples as it is directly proportional to the velocity. Hence, the correct answer is C, where momentum quadruples in this scenario.

5. Which of the following statements least supports the argument that the American economy is healthy?

Correct answer: D

Rationale: The correct answer is D because a decrease in the manufacturing sector is usually considered a negative indicator for the economy, as it may suggest a decline in production or demand for goods. Choices A, B, and C all provide positive signs for a healthy economy: an increase in GDP reflects economic growth, low unemployment rates indicate a strong job market, and rising household income signifies improved financial well-being for families.

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