*Title*

Mystery Number

*Problem Statement*

What is the mystery number? If I subtract 1 / 2 of it, then multiply by 3, and
then add 2, the end result is 26.

*Problem setup*

This is an easy problem to solve if we look at it algebraically. We need re-write this problem using numbers and symbols.

*Investigation/Exploration
of the Problem*

Let's call the mystery number x.

We now that we need to subtract 1/2 of the mystery number. We can write this as .5x. We need to multiply .5x by 3 then add 2 and the result is 26.

So our problem written algebraically is

(.5x)3 + 2 = 26

Now we just need to solve for x to get the mystery number.

First we simplify: (.5x)3 + 2 = 26

and the result is 1.5 x + 2 = 26

We now subtract 2 from both sides and the result is

1.5x = 24

x = 16

We can check to see if we are correct by plugging 16 into the problem. If we subtract half of 16 we are left with 8. 8 times 3 is equal to 24 and 24 + 2 = 26.

*Author &
Contact*

Laura Thomas

Memorial Middle School