Final answer:
The reactions provided are examples of a synthesis, double replacement, and combustion, with the last example being a less straightforward case that might be considered as both synthesis and decomposition.
Step-by-step explanation:
To indicate what type of reaction each of the given reactions represents:
Synthesis reaction: Ca(s) + Br2 (l) → CaBr₂ (s), where calcium and bromine combine to form calcium bromide.
Double Replacement reaction: Ca(OH)₂ (aq) + 2HBr(aq) → CaBr₂ (aq) + 2H₂O(l), with an exchange of ions between two compounds resulting in the formation of new compounds.
Combustion reaction: C6H12 (l) + 9O₂ (g) → 6CO2(g) + 6H₂O(g), which is a type of reaction where a substance combines with oxygen, releasing energy in the form of light or heat.
The reaction H₂O(g) + C(s) → CO(g) + H₂(g) could be considered as a synthesis or decomposition reaction based on the context, although it's not a straightforward example of either category.