Cook the ramen noodles according to package instructions, then drain and rinse under cold water.
In a large bowl, combine the shredded cabbage, carrots, bell peppers, green onions, sesame seeds, and slivered almonds.
In a separate bowl, whisk together the soy sauce, rice vinegar, vegetable oil, sugar, and sesame oil to make the dressing.
Add the cooled ramen noodles to the vegetable mixture and pour the dressing over the top.
Toss everything together until well combined.
Chill in the refrigerator for at least 30 minutes before serving.