Go to musictheory.net It's a very good site for beginners. I'm an arranger so this stuff is easy for me.
Before doing chords and what not, you need to master the scales first. Know where A,B(H),C,D,E,F, and G are. Go to the website, click on the Lessons drop-down menu, and read "steps and accidentals", "major scales",
intervals and its sublessons,
introduction to chords and its sublessons, and
7th chords and its sublessons. This is all you will be needing for this assignment.
If you take a look at the first measure, "Cm7" tells you to play a C minor chord with an added 7th note. A very simple chord has odd numbered intervals. C is the root so just fill in the rest above it to get C,E,G,B. C is #1, E is #3, G is #5, and B (or H) is #7. That's where the 7 came from, B is #7.
C is all the way at the bottom of the chord and is called the "root". E is a third away from C and this governs whether or not it will be "m" (min or minor) or "M" (maj or major). any numbers tacked on towards the end tells you to add that interval.
Now for those accidentals. Read "steps and accidentals" to get a better understanding of what they are. The interval or distance from C to E needs to be a "
minor third" in order to make it a Cmin chord as opposed to a Cmaj chord ("major third"). Read "Specific intervals." It takes 3 half steps for a "
minor third" (4 steps for a major third). From C to G is 7 half steps, which is a perfect fifth. Go to your piano and count.
For the 7th scale degree when it says "min or m" that would be 10 half steps up. When it says "maj or M" that would be 11 half steps up. Yes I know lots of counting...
Do NOT confuse Cmaj7 with C7. I'll do the next example for you in bar 2. G is the root so play G on your piano. Next play a major third, which is H (major third is 4 half steps). Then play a perfect fifth which is D (7 half steps). Now you have G,B,D. Now add the 7th interval which is F. F what? natural, flat, or sharp? To make it simple play G an octave higher, then lower it one half step. This is Gmaj7 (G,B,D,
F#). Lower it another half step, which is now G7 (G,B,D,
F). "A" is "9" intervals away from G. However it says b9 so this tells you to flat the A. The answer is G,B,D,F,Ab written from bottom to top.
Part B might be a little tricky for you.
The C with a triangle means it will be the bottom most note followed by what chord it is. For us we write it as Cmaj7/C. You have to move the notes around until you form a stacked chord.
In the first example you have C, G, B, E. If you stack and reorder them then you should get C,E,G,B, which is exactly the same above. The number besides them are intervals. Sorry I don't know what the "s" means
If you're lazy you can use this
Pocket Piano Chord Name Finder to analyze the chords. In problem 3 that would be Gbm9dim5 based on what the analyzer said. Basically a Gbm chord + a 9th interval + a diminished 5th (6 half steps away from Gb).