## Friday, December 19, 2014

### Building a Puzzle

Play the following two hands with x declared as 3.

Played                                                                                                   Result

 Record Maths

Played                                                                                                   Result

 Record Maths

Both hands give the same result so

 Record Maths

By not showing what x was declared as we can form a puzzle to find the declared value of x

When we solved

 Record Maths

in The Multiplication Puzzle we took 3x as the played hand and 21 as the result on the board.

Doing the same with 5x + 2 = 3x + 8 we would take 5x + 2 as the played hand
and 3x + 8 as the result on the board.

What does an x piece played on the board look like?

In this case x is declared as 3, so take three black counters and hide them in a box and label the box with an x

Counters in box                                                Close box                                    Label box

Now as the wildbox, , contains three black counters make a negative wildbox that contains three white counters, .

Removing the counters gives three pairs of in other words Zero.

So the pair is another form of Zero and can be removed.

TIP In solving this type of puzzle always play cards that will remove wildboxes from the board.

We set up the board by playing a wildbox, , for the wildcard

Having put three black counters in the wildbox this declares the wildcard as a Three.

### Set the Puzzle

Played                                                                                               Result

Swap the hand for the other one that gives the same result which gives the puzzle to play

### Puzzle

Played                                                                                               Result

 Record Maths