Here are some cheap altcoins for a $1,000 portfolio:

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1. Dent (DENT): Invest $250 in Dent, priced at $0.0013. You'll get around 192,308 DENT tokens. Dent aims to change how mobile data is bought and sold globally.

2. VeChain (VET): Put $300 in VeChain, priced at $0.035. This will give you about 8,571 VET tokens. VeChain helps manage supply chains and has big partnerships.

3. BitTorrent (BTTC): Invest $200 in BitTorrent at $0.00000120 per token. You'll get about 166.67 million BTTC tokens. BitTorrent is important for decentralized file sharing on the Tron blockchain.

4. SafeMoon (SAFEMOON): Put $150 in SafeMoon at $0.00012. This gets you about 1.25 million SAFEMOON tokens. SafeMoon has unique features and strong community support.

5. Verasity (VRA): Invest $100 in Verasity at $0.0056 per token. You'll get around 17,857 VRA tokens. Verasity focuses on improving video advertising and esports.

Remember to research before investing, use money you can afford to lose, and make your own decisions.