Use the image to answer the question.

Question

On the left side of a line, there are 2 rectangles, each labeled x, and 7 squares, each labeled negative 1. On the right side of the line, there are 3 squares, each labeled 1.

The algebra tiles represent an equation.

What is the solution to the equation?

(1 point)
Responses

x=10
x equals 10

x=−2
x equals negative 2

x=5
x equals 5

x=2

Answer 1

To determine the solution to the equation represented by the algebra tiles, we can set up the equation based on the tiles described:

On the left side, there are:

• 2 rectangles labeled \( x \)
• 7 squares labeled \( -1 \)

So, the left side can be expressed as: \[ 2x - 7 \]

On the right side, there are:

• 3 squares labeled \( 1 \)

This means the right side can be expressed as: \[ 3 \]

Now we can write the equation: \[ 2x - 7 = 3 \]

Next, we will solve for \( x \):

1. Add 7 to both sides: \[ 2x - 7 + 7 = 3 + 7 \] \[ 2x = 10 \]

2. Divide both sides by 2: \[ x = 5 \]

So the solution to the equation is: \[ x = 5 \]

Thus, the correct response is: x = 5