To model algebraic expressions, you use squares for x and circles for 1. You shade the shapes to indicate negative.

Question

For a given algebraic expression, you draw 2 unshaded squares, 1 shaded square, 2 unshaded circles, and 2 shaded circles. Which algebraic expression is equivalent to the algebraic expression that you modeled?

(1 point)
Responses

x
x

3x
3 x

3x+4
3 x plus 4

x+4
x plus 4
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Answer 1

To interpret the shapes and shading you provided:

• Squares represent \( x \)—you have 2 unshaded squares (which represent \( +2x \)) and 1 shaded square (which represents \( -x \)).
• Circles represent \( 1 \)—you have 2 unshaded circles (which represent \( +2 \)) and 2 shaded circles (which represent \( -2 \)).

Now, let's combine these:

1. For the \( x \) values: \[ 2x - x = 1x \text{ or simply } x \]

2. For the constant values: \[ 2 - 2 = 0 \]

Putting it all together, you get: \[ x + 0 = x \]

Thus, the algebraic expression that is equivalent to what you modeled is:

x