You should be able to use these with no problem. Generally a Part A / Part B nutrient are meant to be used together. ALTHOUGH you are not to mix them together... you add them one at a time to the reservoir. So... if you are growing in Soil then get a gallon (or whatever the nutes say is the amount of water for the sample) and put the part A in that water first and mix... then add the part B to the water.
The reason they gave you the Big UP powder (I'm guessing here) is that it's PH Up.... and they expect that the nutrients (A & B) will lower the PH below the 5.5 lower limit for hydro. This means the solution would be too "acidic".
Now.... you can easily mix the Part A& B in the water and use a meter to check the PH and the PPM. The PPM is important depending on the "age" of your plants. If they are seedlings or young Veg stage then it's likely the PPM will be too high. Use your meter... the PPM for young veg probably shouldn't be higher then 600 PPM.
Usually an imbalance in PH is what locks out nutes... and usually a bigger problem with hydro which is why they are giving you instructions for Hyrdo.
Now ... if you are growing in soil and don't have a PH or PPM meter then I would suggest you use TWICE the amount of water they suggest and add the part A & B and skip the UP. Then water the plants with this solution. This sounds right in my mind... however I don't grow in soil... so if a soil grower comes along and corrects me ... I'd listen to them