Simple Sentence
A simple sentence has a subject and a verb in one independent clause.
The house on the corner is on fire.
Compound Sentence
A compound sentence has two or more independent clauses.
Kara likes to cook, but she hates cleaaing up afterwards..
Complex Sentence
A complex sentence consists of one independent clause and one or more dependent clauses.
Jenny got a job in New York after she grauated from college.
Compound-Complex Sentence
A compound-complex sentence consists of two or more independent clauses and one or more dependent clauses.
Although Alice wanted to be a musician, she was tone deaf so she became a lawyer instead.
Other links for Types of Sentences
XX Types of Sentences
XX Simple and Complex Sentences
XX Sentence Types
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For more information about sentence types takes a look at
An explanation of the types of sentences in English: simple, compound, complex and compound-complex– www.understandinggrammar.com