The Lenovo Q24i-10 Monitor is a wired connectivity monitor only. This monitor has HDMI and VGA ports for connectivity. Your Yoga uses either a USB-c or a Thunderbolt port for video out. You can connect this monitor to your Yoga by using the proper USB-c (standard or Thunderbolt 3.0) to HDMI adapter. Confirm which type video out port your Yoga model has to assure that you get the right adapter.

That really will depend on the requirements and compatibility of the specific games your mother wants to play. The Lenovo IdeaPad 1 14 Laptop, model number 81VS009GUS, is an entry-level laptop. It ships with Windows 10 S-Mode 64-bit Operating System. Windows 10 S-Mode provides added security by only allowing APPs available ( and therefore certified by Microsoft) at the Microsoft Store. If you don't need the added security or you need to install APPs not available at the Microsoft Store, you can switch to standard Windows 10 Home 64-bit Operating System, at no additional cost. We recommend you check with the specific game's software publisher's web site for their compatibility with Windows 10 S-Mode 64-bit operating system and the minimum/recommended hardware requirements (Is a Graphics card required, the processor speed and the minimum required system RAM and the minimum available hard drive space) to run their program, then compare those requirements to this system's configuration.

The Lenovo Yoga 720-15 model number 80X7001SUS, uses a Thunderbolt 3.0 port for video out to an external monitor. To attach this monitor to the Yoga 720-15, you will need a Thunderbolt 3.0 to HDMI adapter like tis one from a Best Buy advertising partner: https://customcableconnection.com/products/usbc-hdmi?variant=31090335776852&currency=USD&utm_medium=product_sync&utm_source=google&utm_content=sag_organic&utm_campaign=sag_organic&utm_campaign=gs-2020-01-17&utm_source=google&utm_medium=smart_campaign&gclid=EAIaIQobChMInaWBo6uo7gIVpuHACh0NZQO2EAYYAiABEgLw9vD_BwE

That really will depend on the specific APPs you will be using and the requirements and compatibility of those APPs. The Lenovo Chromebook Flex 3 11 ships with the Chrome Operating System and is compatible with Google Play Store APPs. We recommend you check with the specific APPs software publisher's web sites of the APPs you will be using, for their compatibility with the Chrome operating system and the minimum/recommended hardware requirements (Is a Graphics card required, the processor speed and the minimum required system RAM and the minimum available hard drive space) to run their program, then compare those requirements to this system's configuration.