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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) + _

1 answer

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 \((-3x) + 5\).