1) In X weeks and 4 days, the movie Math-Man IV will be released.

The movie will be out in 25 days. Find the value of X.

a) Write and equation you can use to solve the problem.

b) Solve the equation. Verify the solution.

The amount of x is in weeks, while the 4 and the 25 are in days. There are 7 days in a week, so we would have to multiply the number of weeks by 7 to get how many days that would be. This amount of days, plus the 4 days, has to be able to equal 25. This gives you the equation:

7x+4=25

Steps to solve:

1. Subtract 4 from both sides to get the variable and its coefficient alone: 7x = 21.

2. Divide both sides by 7 to get x alone: x=3.

If we verify the equation by putting 3 in for x, we get 7 (3) + 4=25, then 21+4=25, and finally 25=25. 25 IS equal to 25, so this statement is true and 3 is correct for the value of x.

Therefore, the answers are:

a) 7x+4=25

b) x=3