Question

which model represents the following expression? 3(-x + 2)

Explanation:

Step1: Expand the expression

Using the distributive property \(a(b + c)=ab+ac\), for \(3(-x + 2)\), we have \(3\times(-x)+3\times2\).

Step2: Calculate each term

\(3\times(-x)=-3x\) and \(3\times2 = 6\). So the expanded form is \(-3x+6\).
Now, looking at the models:

• The red rectangle represents \(-x\), the green rectangle represents \(x\), and the yellow square represents \(1\).
• For \(-3x + 6\), we need \(3\) red rectangles (since each red rectangle is \(-x\)) and \(6\) yellow squares (since each yellow square is \(1\)).

Answer:

The model with three red rectangles and six yellow squares.