The true statements are:
A. the synthesis of ethylene is a chemical change - True. The transformation of ethane into ethylene involves a chemical reaction, which is indeed a chemical change.
C. high temperatures are required to make ethylene - True. The process of steam cracking requires high temperatures (up to 900°C) to effectively break down larger molecules into ethylene and other products.
The false statements are:
B. steam cracking breaks smaller molecules into larger molecules - False. Steam cracking involves breaking larger carbon-based molecules into smaller ones, not the other way around.
D. hydrogen gas reacts with ethane to make ethylene - False. Ethylene is produced from ethane by breaking it down through high temperatures, rather than being produced from a reaction between hydrogen gas and ethane.
So, the true statements are A and C.