We have core( x-460 model) and L2 switch (extreme 210) switch. all vlan configuration done in core switch and some vlan untagged with L2 switch. If connect the laptop under L2 switch not able to access the any vlan Ip address.
please configure default route in 210 that will point all traffic to X460, configure your pc with gateway ip address with the vlan ip address which is configured for your vlan eg: your ip = 10.1.1.20/24 your vlan ip address configured on core is 10.1.1.254/24
verify if you can reach the management IP address on the switch verify if you can reach your gateway. verify if proper tag ports are added to vlans on 210 switch verify if you can reach other Vlans while pinging them from your computer verify if on your core ipforwarding is enabled