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The expression 9x + 6 represents the cost for three friends to go to the movies. Write 9x + 6 as a product. Then tell how many friends went to the movies and what expression represents the cost of a movie ticket.

User Stecman
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1 Answer

2 votes

Answer:

9x + 6 ⇒ 3(3x + 2)

3 friends; 1 ticket: 3x + 2

Explanation:

To write 9x + 6 as a product, you have to factor it by factoring out a 3 (which fits into both 9 and 6). This will look like: 3(3x + 2)

The question wants to know how many friends went to the movies (which is already given), but the answer is 3 because you factored a 3 out of the total cost for the movies.

The expression 3x + 2 (the expression inside the parentheses represents the cost of a single movie ticket because 3 of these represented the cost for 3 people, but since it has been divided by 3 (3/3 = 1) this only represents the cost of a movie ticket for one.

User David Pascoal
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