The first step to simplifying this expression is to apply the distributive property to the parenthesis:

This gives us:

The next step is to combine like terms by adding:

If Randy started watching a movie at 11:46 am, and the movie ends at 1:56 pm, then to find out how long the movie was, we should first determine how much time elapsed between 11:46 am and 12:00 pm, and then how much time elapsed between 12:00 pm and 1:56 pm. 

Between 11:46 a.m. and 12:00 pm, 14 minutes went by. 

Between 12:00 pm and 1:56 pm, 1 hour and 56 minutes went by. 

Therefore, the length of the movie will be the sum of 1 hour and 56 minutes, plus 14 minutes. 

This results in 2 hours and 10 minutes. 

If Randy had in his account and his sister then gave him , the total in his account would be equal to . 

A  increase of  would be . Therefore, the total in his account would be equal to the sum of  and , which is .

If Bernard needs to buy a wetsuit, a surfboard, and surf wax, this means he will take on costs of $165, $250, and $12. The sum of these amounts is below:

Given that Annie has  coins, an increase of  coins would mean that her coin collection increased by amount equal to half the size of her current collection. This is therefore equal to a  increase. You can also figure this out by comparing the size of her collection before and after the new coins were added:  (to not count the original size of her collection in the calculation of the percent increase) . Thus,  is the correct answer.

Given that a car has  wheels, and a motorcycle has  wheels, if there are  cars and  motorcycles in a parking lot, the total number of wheels can be found by using the expression below:

Jenny's usual schedule is to wake up at 7:00 am. She then takes  minutes to shower and brush her teeth,  minutes to dry her hair,  minutes to eat breakfast,  minutes to walk to school, and another  minutes to talk to her friends before class starts. This routine takes up the entire time from when she wakes up to when class begins:

If she wakes up half an hour late at 7:30 am, and skips her  minute breakfast as well has her  minute talk with her friends before class, she will need to take this much time to get to school:

Since she woke up at 7:30, it will be 8:05 when she gets to school, and so she will be  minutes late. 

Since Jon bought the first bicycle for  and resold it for , he made  in profit because .

Jon bought the second bicycle for  and resold it for , so he made  in profit because .

Jon bought the third bicycle for  and then sold it for , but because he spent  on repairs, he lost . This is because 

Thus, the total profit that he made is  because .

The first step to solve for  is to first solve for x and y. 

Here, 4 should be added to each side of the equation. This results in:

Here, 2 should be subtracted from each side of the equation. This results in:

Therefore,   is equal to .

If Angela lives 5 miles east of Bill, and Joe lives 3 miles east of Bill, that means that the distance between Angela and Joe will be  miles. 

A roundtrip will be two times 8 miles, which is equal to , which is therefore the correct answer.