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Unfortunately almost all ink printers use a mix of their cartridges to print. Unless the color is 100% black, most printers will use the cyan, magenta and yellow colors to create a "muddy black". The settings of your printer allow for B&W, Color and Grey Scale. If you have the smallest of color in your document again the only way the printer will use just black is if the picture is 100% black or black and white with the printer set to Grey Scale. You may ask, "How do I tell", there is now easy answer. Obviously if you are printing a color document with black then "B&W or Grey Scale" are not options. So the short of it is that you are at the mercy of the printer and the document you are printing.
Sorry if you feel my answer is incomplete. Let me be a little more clear. For your model printer there is no option that tells the printer, in the applicaton or printer settings, to use color inks to make black or to use the black ink cartridge only when a document contains a large portion/area of black (This is automatic by design).
Notice that I stated that,"most printers will use the cyan, magenta and yellow colors to create a "muddy black" or black. It is often the case where "most" printers will only use the color cartridges to print black when a document has color in it. This may be your case. In either case you will not be able to archive the outcome you are looking for (saving on your color ink or equally using all ink cartridges).
The only way to adjust how a color printer produces black in by setting the three options I stated before. If you have a document with the smallest bit of color in it the black will be rendered with all cartridges.
If you are still not satisfied with my answer please say so in this post and I will opt out so that another expert may assist.
There are several circumstances when color ink may be used—primarily to improve print quality, and sometimes to improve printer reliability—even if the document appears to be only black text-and-graphics. Many HP printers utilize chemical interactions to improve the quality and permanence of plain paper black text-and-graphics by adding small amounts of color ink to certain black areas. Some dark images which look black may contain a combination of black and color inks. For black and white images and photos, a blend of colors called "composite black" may be used to achieve significantly better image quality and smoother gray tones than can be accomplished with black inks alone. Some inkjet printers utilize pigmented black ink, which is incompatible with some inkjet photo paper. In this case, dark or black areas are made up of color inks. (Page yield testing is conducted with all cartridges – black and color – installed in the printer. For more information see Inkjet page