Absolute beginners should I think start with Teach yourself "get started in Russian", and then move on to this one.
I think this set (and other sets from other authors) go too fast at the beginning for absolute beginners.
From my experience, 2 remarks:
1. no point spending too much time on learning the declinsons perfectly, it s not gonna help understanding Russian (they speak very quickly!), and also it doesn't matter so much if you speak and make mistakes. When you speak English to a foreigner you'd rather him speaking quickly and make mistakes than him speaking VERY slowly (*) without mistakes...
2. The dialogues (apart from the short texts at the end of some of the chapters) are not spoken at normal Russian speed. So, if the CDs are your only source of spoken Russian, you re gonna be in for a bit of a shock when you go there. So I think it is worth getting other CDs, in which Russian is spoken at normal speed. That being said, it is better when we start learning to have dialogues being spoken slowly.
(*) It is a mistake to speak and try think/search in our memory for 10 seconds or so what the correct declinson is.