Niel has a bucket of beads. He uses them to make 8 identical necklaces and then buys 25 beads at the store. He ends up with a total of 500 beads. How many did he start with? Identify the operations needed to solve this problem using the equation b8 + 25 = 500 method used for this problem

To solve this problem using the equation b8 + 25 = 500, we need to perform the following operations:

1. Multiply the number of beads used to make each necklace (b) by the number of necklaces made (8) to find the total number of beads used for the necklaces: 8 * b = 8b
2. Add the number of beads bought at the store (25) to the number of beads used for the necklaces (8b): 8b + 25
3. Set the sum equal to the total number of beads (500) and solve for b: 8b + 25 = 500