Let \( x \) be the number of songs Lin wants to buy. The total amount she spends on the album and the songs should not exceed the gift card balance.
The cost of the album is $9.99, and the cost of each song is $1.29. Therefore, the total amount spent can be expressed as:
\[ 9.99 + 1.29x \]
Since Lin has a gift card worth $80, the inequality can be written as:
\[ 9.99 + 1.29x \leq 80 \]
This inequality represents the condition that Lin can spend on an album and songs without exceeding the value of the gift card.