Please help me create 4 balanced equations and label the type it is… Once you use a formula or symbol, you can’t repeat it again.

We have several reaction-type options. At the end of the answer, I will update the image with the values that we are taking so as not to repeat them.
I will try to choose different ones to explain as much as I can:
Synthesis: It refers to when we have two reactants and form one from these two.
We can take:
[tex]2H_2+O_2\rightarrow2H_2O[/tex]Decomposition: It is the opposite of synthesis, we have a reactant and it decomposes into more than one product
We can take:
[tex]SrCl_2\rightarrow Sr+Cl_2[/tex]Simple displacement: An element or ion exchanges places with another.
We can take:
[tex]2FeBr_2+3Cl_2\rightarrow2FeCl_3+2Br_2[/tex]Double displacement: More than one molecule exchange places.
We can take:
[tex]MgCl_2+2NaOH\rightarrow Mg(OH)_2+2NaCl[/tex]