Question

Fill in the blanks.

We can use a interactive to group like terms and write an equivalent expression.
(-2x) + 3 + (-x) + 2

1. Model the expression with elgebra tiles.
2. Combine the x terms.
(_) + 3 + 2
3. Combine the constant terms.
(-3x) + _

Answer 1

Let's fill in the blanks step by step.

1. Model the expression with algebra tiles:
To model the expression \((-2x) + 3 + (-x) + 2\), we would visualize it with algebra tiles, but for the purpose of this problem, we will proceed with the next steps.

2. Combine the x terms:
The x terms are \(-2x\) and \(-x\). When combined, we have:
\[
(-2x) + (-x) = -3x
\]
So we rewrite the expression as:
\[
(-3x) + 3 + 2
\]

3. Combine the constant terms:
The constant terms are \(3\) and \(2\). When combined, we get:
\[
3 + 2 = 5
\]
Therefore, the expression simplifies to:
\[
(-3x) + 5
\]

Putting it all together, we have:

- The blank after combining the x terms: **5**.

Thus, the final expression is \((-3x) + 5\).