Question

what equation does this set of algebra tiles represent? combine like terms on each side of the equation. for example, write 3 instead of 1 + 1 + 1.

Explanation:

Step1: Count left - hand side terms

On the left - hand side, we have one \(x\) tile and five \(1\) tiles. So the left - hand side of the equation is \(x + 5\) (since \(1+1 + 1+1+1=5\)).

Step2: Count right - hand side terms

On the right - hand side, we can count the number of \(1\) tiles. Let's count them: there are \(3\times3 + 1=10\) (three rows of three \(1\) tiles and one extra \(1\) tile, or we can count one by one: \(1+1+1+1+1+1+1+1+1+1 = 10\)). So the right - hand side of the equation is \(10\).

Step3: Form the equation

Combining the left - hand side and the right - hand side, the equation is \(x + 5=10\).

Answer:

\(x + 5 = 10\)