tar bundles files and folders into one archive, and z compresses it with gzip, giving a .tar.gz file (also written .tgz). The options read as a sentence: c create, x extract, t list, z gzip, v verbose (show each file), and f followed by the archive's name.
$ tar czf site-backup.tar.gz site/ # create, gzip, file
$ tar tzf site-backup.tar.gz # list what's inside
$ tar xzf site-backup.tar.gz # extract here
$ tar xzf site-backup.tar.gz -C /tmp # extract into /tmp
f is followed by the archive's name, so keep it last in the bunch: tar -cfz notes.tar.gz notes makes an archive called z. .tar.xz and .tar.bz2 use other compressors; modern tar works out which when extracting, so tar xf alone is fine.
.zip files, common from Windows, use zip -r photos.zip photos and unzip photos.zip.
df -h shows each mounted disk's size, how much is used and how much is free. du -sh folder shows how much one folder takes, and du -sh * shows every item in the current folder, which is the quickest way to find what's filling a disk.
$ df -h /
Filesystem Size Used Avail Use% Mounted on
/dev/sda1 40G 31G 7.2G 82% /
$ du -sh /var/log
1.3G /var/log
Practice
Make a gzipped tar archive called notes.tar.gz of the folder notes.