Question

4i) what equation does this set of algebra tiles represent?
image of two green x tiles equal to six yellow 1 tiles
4ii) combine like terms on each side of the equation. for example, write 3 instead of 1 + 1 + 1.

Explanation:

Step1: Analyze left - hand side

The left - hand side has two tiles labeled \(x\), so combining like terms, we get \(x + x=2x\).

Step2: Analyze right - hand side

The right - hand side has 6 tiles labeled 1 (since there are 2 rows and 3 columns, \(2\times3 = 6\) or we can count them as \(1 + 1+1+1+1+1\)). Combining these like terms (adding the 1s), we get 6.

Step3: Form the equation

Putting the two sides together, the equation is \(2x=6\).

Answer:

\(2x = 6\)