To represent algebraic equations, you use squares for x and circle for 1. You shade the shapes to represent negative values. You draw a vertical line to represent the equal sign.

Question

How could you represent 3x−1=5
using the shapes?

(1 point)
Responses

Place 3 unshaded squares and 1 shaded circle to the left of the line, and place 5 unshaded circles to the right of the line.
Place 3 unshaded squares and 1 shaded circle to the left of the line, and place 5 unshaded circles to the right of the line.

Place 3 shaded squares and 1 unshaded circle to the left of the line, and place 5 shaded circles to the right of the line.
Place 3 shaded squares and 1 unshaded circle to the left of the line, and place 5 shaded circles to the right of the line.

Place 3 shaded circles and 1 unshaded square to the left of the line, and place 5 shaded squares to the right of the line.
Place 3 shaded circles and 1 unshaded square to the left of the line, and place 5 shaded squares to the right of the line.

Place 3 unshaded circles and 1 shaded square to the left of the line, and place 5 unshaded squares to the right of the line.

Answer 1

To represent the equation \( 3x - 1 = 5 \) using the described shapes:

1. The term \( 3x \) corresponds to 3 unshaded squares (representing \( x \)).
2. The term \(-1\) corresponds to 1 shaded circle (representing -1).
3. On the right side of the equation, \( 5 \) corresponds to 5 unshaded circles (representing 1).

Therefore, you would:

• Place 3 unshaded squares and 1 shaded circle to the left of the line (representing \( 3x - 1 \)).
• Place 5 unshaded circles to the right of the line (representing \( 5 \)).

So the correct representation would be:

Place 3 unshaded squares and 1 shaded circle to the left of the line, and place 5 unshaded circles to the right of the line.