Answer: The equations are written below.
Step-by-step explanation:
Single displacement reaction is defined as the reaction in which more reactive element displaces a less reactive element from its chemical reaction.
![AB+C\rightarrow CB+A](https://img.qammunity.org/2020/formulas/chemistry/college/8n0l9bcwyhm9lro5jmfvdyir2oni9qbmwe.png)
Element C is more reactive than element A.
Double displacement reaction is defined as the reaction in which exchange of ions takes place.
![AB+CD\rightarrow CB+AD](https://img.qammunity.org/2020/formulas/chemistry/middle-school/7nnzned9uupmqk4bw2atx8zttot2jmuk0e.png)
Decomposition reaction is defined as the reaction in which a large substance breaks down into smaller substances.
![AB\rightarrow A+B](https://img.qammunity.org/2020/formulas/chemistry/high-school/vy9fuztgh0mbl0iyrbo41ejac3gs3k8nzc.png)
Synthesis reaction is defined as the reaction in which smaller substances combine in their elemental state to form a larger substance.
![A+B\rightarrow AB](https://img.qammunity.org/2020/formulas/chemistry/middle-school/7bnbx3dq8fpks19or7s97ilbxfqz9kub3k.png)
For the given options:
- Option 1: Iron (III) bromide reacting with ammonium sulfide to produce iron (III) sulfide and ammonium bromide
The balanced chemical equation follows:
![Fe_2(SO_4)_3+3(NH_4)_2S\rightarrow Fe_2S_3+3(NH_4)_2SO_4](https://img.qammunity.org/2020/formulas/chemistry/high-school/9zzfpg05f2tawsagc1dyswccqcu4rt7v31.png)
This is considered as double displacement reaction.
- Option 2: Calcium oxide reacting with diphosphorus pentoxide to produce calcium phosphate
The balanced chemical equation follows:
![3CaO+P_2O_5\rightarrow Ca_3(PO_4)_2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/s9qpo7do04ixr5mzpts36s2xvfl3p54owt.png)
This is considered as synthesis reaction.
- Option 3: Magnesium chloride reacting with silver nitrate to produce magnesium nitrate and silver chloride
The balanced chemical equation follows:
![MgCl_2+2AgNO_3\rightarrow 2AgCl+Mg(NO_3)_2](https://img.qammunity.org/2020/formulas/chemistry/high-school/l95ap01su8qg10ch5wmf71agxtd5f8a6r0.png)
This is considered as double displacement reaction.
- Option 4: Sodium carbonate reacting with sulfuric acid to produce sodium sulfate, carbon dioxide and water
The balanced chemical equation follows:
![Na_2CO_3+H_2SO_4\rightarrow Na_2SO_4+CO_2+H_2O](https://img.qammunity.org/2020/formulas/chemistry/high-school/5x63dbwlqf5saoazncp6uhvrriq2nc6c4r.png)
This is considered as double displacement reaction.
- Option 5: Iron(II) sulfide reacting with hydrochloric acid to produce iron (II) chloride and hydrogen sulfide
The balanced chemical equation follows:
![FeS+2HCl\rightarrow FeCl_2+H_2S](https://img.qammunity.org/2020/formulas/chemistry/high-school/ad1x3r314jhs9nsj7k7bgw4wqs1qirffew.png)
This is considered as double displacement reaction.
Hence, the reactions are written above.