2(7-x) also represents the number of tickets malia has left after she gone on x rides. How can each of the following numbers and expressions be interpreted in terms of tickets and rides?  7   (7-x)   2
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2(7-x) has to be a positive number so x must be between 0 and 7. Also x must be a whole number because you can’t do anything with a fraction of a ticket!

Therefore 7 is a maximum. When x=0 the number of tickets left is 14; when x=7 there are no tickets left.

So she can go on 7 rides. That’s the significance of 7.

x-7 is the controlling factor. It says how small x can be and how large x can be.

2 tells us that that she needs 2 tickets for each ride. 

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