The 5050 strips draw quite a bit of power.. about 3 amps at max output for the RGB (so about 600m per color) for the full 5 meters, and most 12v wall wart style power supplies are 500ma, sometimes as high as 2 amps, but I wouldn't trust an entire strip to one. The LED's you got are lower density (fewer led's per foot) and the led's themselves are lower output than the 5050's, and just one color probably only draws less than an amp for the entire strip, but even so I would be careful with a wall wart for more than a couple meters of strip. I used about 8 meters of 5050 RGB on my deck (so far, I have other plans yet), and used an 8 amp power supply that cost me around $10 on amazon. On the cab I did, I used close to 2 amps total of 5050 rgb (at max intensity, which it will never hit) which was pushing the limitation of the LEDWiz controller.
And just an FYI, if you are using led strips without a controller and want to dim them, you can get cheap PWM dimmers on Amazon, but you need a pulse width modulated dimmer, just lowering the voltage doesn't really work. There are connectors available for the different types of strips that make it really simple to cut the strips to the lengths you use and connect different sized strips together or to your controller/power supply. Most of the "reels" of 5m that I have bought have an adapter already attached to one end, and you can get kits for about $5 more that come with a controller and a remote. It is unreal how cheap it is to play with this stuff, but when you want to interface it to a computer to be controlled by software, it does get more expensive.