Use the image to answer the question.

Question

On the left side of a line, there are 5 rectangles, each labeled x, and 4 squares, each labeled 1. On the right side of the line, there are 6 squares, each labeled negative 1.

Karina represents an equation using these algebra tiles.

Which equation did she represent?

(1 point)
Responses

5x−4=−6
5 x minus 4 equals negative 6

5x+4=−6
5 x plus 4 equals negative 6

4x+5=−6
4 x plus 5 equals negative 6

4x−5=6

Answer 1

To derive the equation represented by the algebra tiles:

• On the left side, there are 5 rectangles (each representing a variable \(x\)) and 4 squares (each representing the number 1).

• This can be expressed as \(5x + 4\).

• On the right side, there are 6 squares labeled negative 1. This means there are 6 negative units, which can be represented as \(-6\).

Putting these together, we get the equation:

\[ 5x + 4 = -6 \]

Therefore, the correct response is:

5x + 4 = -6 (5 x plus 4 equals negative 6).