The correct sentences that have the indicated groups of words are:
- Noun Phrase- "If you go to a store in the United States to buy a garden hose, (the prices will also vary,) but the parts will probably come attached."
- Noun phrase- ("Two of the biggest factors) are sales taxes versus value-added taxes, and perceived value."
- Not a noun phrase- "In the United States, states need to make money to help pay (for the services they provide.")
- Not a noun phrase- "There (will still be a wide price range,) but all the prices – from the cheapest to the most expensive – will be much lower."
A noun phrase is a group of words that contain a noun along with its modifiers.
The modifiers could be articles, adjectives, or other words that indicate possession. In the sentences above, 'the' is an article that modifies the noun, 'price'.
'Two', 'the' and 'biggest' modify the noun, 'factor'.
The third sentence is a prepositional phrase.
The fourth sentence does not begin with a noun or its modifier.
Summarily, the first two sentences qualify as noun phrases.
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