Here are the balanced equations for the decomposition reactions on your worksheet. I have included the phase information (solid, liquid, gas, aqueous) as requested.
1. $2\text{Fe}_2\text{O}_3(s) \xrightarrow{\text{elect.}} 4\text{Fe}(s) + 3\text{O}_2(g)$
2. $2\text{NaCl}(s) \xrightarrow{\text{elect.}} 2\text{Na}(l) + \text{Cl}_2(g)$
*(Note: Sodium is produced as a liquid because electrolysis of salt usually happens at high temperatures where it melts).*
3. $2\text{NH}_3(g) \xrightarrow{\Delta} \text{N}_2(g) + 3\text{H}_2(g)$
4. $\text{CaF}_2(s) \xrightarrow{\text{elect.}} \text{Ca}(s) + \text{F}_2(g)$
5. $2\text{H}_2\text{O}_2(aq) \xrightarrow{\text{MnO}_2(s)} 2\text{H}_2\text{O}(l) + \text{O}_2(g)$
6. $\text{CaCO}_3(s) \xrightarrow{\Delta} \text{CaO}(s) + \text{CO}_2(g)$
7. $\text{Na}_2\text{CO}_3(s) \xrightarrow{\Delta} \text{Na}_2\text{O}(s) + \text{CO}_2(g)$
8. $\text{Al}_2(\text{CO}_3)_3(s) \xrightarrow{\Delta} \text{Al}_2\text{O}_3(s) + 3\text{CO}_2(g)$
9. $2\text{NaNO}_3(s) \xrightarrow{\Delta} 2\text{NaNO}_2(s) + \text{O}_2(g)$
10. $\text{Ca(NO}_3)_2(s) \xrightarrow{\Delta} \text{Ca(NO}_2)_2(s) + \text{O}_2(g)$
Parent Tip: Review the logic above to help your child master the concept of decomposition reaction worksheet.