(N/A) $a.$ $CH_3-CH=C(CH_3)_2$: The longest chain has $4$ carbons with a double bond at $C-2$ and a methyl group at $C-2$. $IUPAC$ name: $2-\text{Methylbut-}2-\text{ene}$.
$b.$ $CH_2=CH-C \equiv C-CH_3$: The chain has $5$ carbons. Double bond gets priority for numbering. $IUPAC$ name: $\text{Pent-}1-\text{en-}3-\text{yne}$.
$c.$ $CH_2=CH-CH=CH_2$: $IUPAC$ name: $\text{Buta-}1,3-\text{diene}$.
$d.$ $C_6H_5-CH_2-CH_2-CH=CH_2$: The principal chain is the alkene chain. $IUPAC$ name: $4-\text{Phenylbut-}1-\text{ene}$.
$e.$ $2-\text{Methylphenol}$: $IUPAC$ name: $2-\text{Methylphenol}$.
$f.$ $CH_3-(CH_2)_4-CH(CH_2-CH(CH_3)_2)-(CH_2)_3-CH_3$: Longest chain is $10$ carbons (decane). Substituent at $C-5$ is an isobutyl group $(2-\text{methylpropyl})$. $IUPAC$ name: $5-(2-\text{Methylpropyl})\text{decane}$.
$g.$ $CH_3-CH=CH-CH_2-CH=CH-CH(C_2H_5)-CH_2-CH=CH_2$: Longest chain with maximum double bonds is $10$ carbons. Numbering starts from the end closer to the first double bond. $IUPAC$ name: $4-\text{Ethyldeca-}1,5,8-\text{triene}$.