Question

Algebraic Expressions Quick Check 1 of 51 of 5 Items Question You use circles to represent x and squares to represent 1. You shade the shapes to represent negative values. Which of the following describes a model representing 2x−6 ? (1 point) Responses 2 shaded squares and 6 unshaded circles 2 shaded squares and 6 unshaded circles 2 shaded squares and 6 shaded circles 2 shaded squares and 6 shaded circles 2 unshaded squares and 6 shaded circles 2 unshaded squares and 6 shaded circles 2 unshaded squares and 6 unshaded circles

Answer 1

To model the expression \(2x - 6\) using circles for \(x\) and squares for \(1\), where shaded shapes represent negative values:

1. The term \(2x\) means you have 2 unshaded circles (each representing \(x\)).
2. The term \(-6\) means you need to represent negative 6, which can be done with 6 shaded squares.

Thus, the correct model for \(2x - 6\) is:

**2 unshaded circles and 6 shaded squares.**

Since this exact response is not listed, you may want to verify the shading/color coding or the interpretation of shapes from your materials. Based on common representation:

- **Shapes**: 2 unshaded circles (for \(2x\))
- **Negatives**: 6 shaded squares (for \(-6\))

In this case, it's accurate to say the answer describes the expression adequately by involving the correct representation of both \(x\) and constants.