Final answer:
A drug with abuse potential regulated by the DEA is known as a controlled substance, which includes drugs like opioids with high addiction risks.
Step-by-step explanation:
A drug that has the potential for abuse and is regulated by the Drug Enforcement Agency (DEA) is classified as a controlled substance. Controlled substances include a range of drugs that can have medicinal uses but carry a risk of addiction and abuse, making them subject to strict regulation. Opioids, for instance, are potent painkillers that fall under this category because they have an extremely high potential for abuse and can lead to addiction and dependence. The FDA has therefore recommended tighter controls on their medical use.