To solve the equation \( b \cdot 8 + 25 = 500 \), we need to identify the operations involved.
- The term \( b \cdot 8 \) represents the multiplication of the number of beads \( b \) used for each necklace by 8 (the number of necklaces).
- The equation then adds 25 (the beads Niel buys) to that total.
- Finally, the equation sets the result equal to 500 (the total number of beads he has).
Thus, the operations needed to solve this problem are:
- Multiplication (to find the total number of beads used for the necklaces)
- Addition (to add the purchased beads to the total from the necklaces)
The correct response is: addition and multiplication.