This is a basic step by step guide on how to solve a 2x2 Rubik's cube with some steps of ortega in there! Hope you like it!!
Step 1: Solving the White Face.
This step is kind of easy. I it is very easy for most. all you do is have a solved white face with the middle layer done.
So the first thing you want to do is find the white, blue, red corner. Once you have located that then it is time to advance to the rest of the face.
The next step is to solve the face. If you have the image in the middle you oriented it wrong.
If you have the case on the right that is perfect. The Orange blue white corner needs to get put in by the blue white red corner. So all you really do is position the corners into where they need to go while having the middle layer solved. NO ALGORITHMSSSSSSSSSSSS!!!! YES
Here is another way to do it
Step 1: On the 2x2 Rubik's Cube, we don't have center pieces to guide us, so we are going to pick a corner piece to start with and build off that. Any corner piece could be used as a starting piece, but let's use the corner that is white, blue and red. It's easy to spot because it has the brand of cube that you have on the white tile!
Step 2: as shown in the 3rd image you can see the the white piece is white orange and blue. And we located the white blue and red piece already. So all you need to do is put that piece next to the white blue and red piece on the blue side so then the blue layer is done. And then you just repeat that over and over until the white face and middle layer is done.
Step 2: Solving Yellow Face.
This next step has many parts to it. If you already know 3x3 this step will be a piece of cake. If you don't know it you will have a harder time.
If you have the case on the far left you want to make sure that you have the 2 yellow bars on the top with the white face on the bottom and you want to hold the cube so that the other yellow bar is to the left. You want to make sure that the yellow bar on top is to the right while the one on the side is to the left. The algorithm for this is: F R U R' U' F'
If you have the case next to it you want to make sure that you have the yellow bar on the right side of the yellow face and you want to have the yellow dot in the upper left hand corner as shown in the picture. There will be a corner in the back but don't worry. It will still work. The algorithm is: R U R' U' R' F R F'
If you have the one next to that you will want to make sure that the one dot on the yellow face is on the left corner and the other dot is on the upper right hand corner. So you want to hold it like that and do this algorithm: R U R' U R U2 R'
If you have the next case you will want to hold it as shown above. Which is with the yellow corner that is on top in the right corner and the other one in the upper left hand corner and do this algorithm: L' U' L U' L' U2 L.
If you have the final case where you have the 2 bars on the layer below the yellow face. You want to hold it like the pic above and do this algorithm. R2 U2 R U2 R2
And there you have your yellow face!!
If you have none of these options then just do this algorithm until you do! R U R' U R U2 R'
Step 3: Orienting the Last Layer.
This step is simple there are only two algorithms you need to know. If you have the case on the left you need to make sure that you have the positioned corners in the back while you do the algorithm. Make sure you don't put the positioned corners on the color that it matches to solve the face. You want to put the 2 positioned corners off to the left of the color that they match. In that example red is to the right of the red middle layer.
The algorithm is R' F R' B2 R F' R' B2 R2
If you have the case to the left you want to make sure that you have the opposite corner on the right hand side of the cube. For instance green is opposite blue. So you might have a all green face with one blue corner in the upper right hand side. That is right. You want to have the opposite corner in the upper right hand side. This will always have one in the right place when you get this case. So if you get it just do this algorithm.
The algorithm is: R U' R' U' F2 U' R U R' D R2