Question

which set of algebra tiles represents the equation $x + 1 = 10$?

Explanation:

Step1: Analyze the equation \(x + 1 = 10\)

The left - hand side (LHS) of the equation should have one \(x\) tile and one \(1\) tile (since it's \(x + 1\)), and the right - hand side (RHS) should have ten \(1\) tiles (since it's \(10\)).

Step2: Check each set of algebra tiles

• For the first set:
• On the LHS, we have one \(x\) tile and one \(1\) tile.
• On the RHS, let's count the number of \(1\) tiles. The number of \(1\) tiles is \(4 + 3+3=10\) (by adding the number of tiles in each row: first row has 4, second row has 3, third row has 3).
• For the second set:
• On the LHS, we have one \(x\) tile and \(3 + 2+2 = 7\) \(1\) tiles (which is \(x+7\), not \(x + 1\)), so this set does not represent \(x + 1=10\).
• For the third set:
• On the LHS, we have one \(x\) tile and one \(1\) tile, but on the RHS, we have \(2\) \(1\) tiles (which is \(x + 1=2\), not \(x + 1 = 10\)), so this set does not represent \(x+1 = 10\).

Answer:

The first set of algebra tiles (the one with one \(x\) tile, one \(1\) tile on the LHS and ten \(1\) tiles on the RHS)