You will not know how your classes will precisely transfer to a university until you have been accepted there and they perform an official transfer credit evaluation. However, most in-state universities have lists of how some courses commonly transfer from other in-state colleges. You can find links to many of these transfer guides or related information below. Remember, these guides are set by the receiving university and questions regarding their content should be directed towards them.
If a student earns a Direct Transfer degree at WVC, like the Associate of Arts and Sciences, and transfer to one of the Washington State public universities, then they will have junior standing if admitted. This means they will not need to completed freshman and sophomore level general education requirements. However, they will still be subject to the receiving school's transfer policies if they want to use any of their WVC courses towards their major.
If you need some help researching universities, want some suggestions, or not sure where to start asking questions, you can talk to the Running Start Transfer Specialist! He can help point you in the right direction when you have questions on transferring.