Question

Using Algebra Tiles

What x value solves the equation?

3x – 5 = 1

x =

Answer 1

x = 2

Explanation using algebra tiles:
- Start with 3 x-tiles and 5 negative unit tiles on the left, and 1 positive unit tile on the right (3x − 5 = 1).
- Add 5 positive unit tiles to both sides to cancel the 5 negative units on the left.
- Left becomes 3 x-tiles; right becomes 1 + 5 = 6 positive unit tiles (3x = 6).
- Each x-tile equals 6 ÷ 3 = 2, so x = 2.