Question
Use the image to answer the 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
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
Answers
GPT-4o mini
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).
- 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).