Let's be really basic.
Proper subwoofers are 'active'. They have an internal amplifier. Active speakers, by rule, are designed to power themselves, and nothing else.
So, you have a subwoofer which can power itself, but nothing else.
You also say you have some type of speakers. I didn't see if you posted a make/model of those speakers (which you should always do when discussing specifics!), but I will assume (perhaps incorrectly) that they are standard speakers which have wire connections on the back of them, and can be powered by a standard A/V receiver of some sort.
You need an amplifier which has speaker connections on it. The problem with cheap amplifiers, is that they don't have a subwoofer connection at all.
It is best, in my opinion, to check your local classifieds for an audio/video surround receiver that is VERY OLD! You don't need the video portion at all, and you don't need the extra channels of amplification at all, but the receiver will have a subwoofer output and it will have speaker amplification as well as volume control built in. It will allow you to hook up multiple sources to it easily. It will NOT have advanced features like wireless or Bluetooth built in.
But, it will be cheap, and it will work well, and it likely will be a fairly durable product.
This is something on my local Craigslist (USA online classifieds), which is only $40 and would be ideal for your request. It is just an example, so you should check your local online classifieds and let us know what you are looking at so we can give you advice/assistance.
Mitsubishi Audio/Video Receiver M-VR900 w/Remote - Excellent Condition, items function propertly
washingtondc.craigslist.org